### 81 results for qubit oscillator frequency

Contributors: Yodprasit, Uroschanit

Date: 2006-01-01

Following the trend in portable wireless communications, this dissertation explores new approaches to designing of power-critical building blocks in the elementary circuit level. Specifically, the work focuses on designs of baseband continuous-time Gm-C filter, LC-resonator quadrature **oscillators**, transistor-only quadrature **oscillators** and LC-resonator **frequency** dividers. The established circuits share a common design objective of low-power and low-voltage operation, where the simplicity of the demonstrated topologies serves as a basis. The dissertation is separated in two parts. The first part is dedicated for the baseband section where a 3rd-order Bessel filter is designed and fabricated. The filter comprises a set of linear transconductors, which each one is based on the operation of triode-biased transistors. According to the operation in this region and to the simplicity of the transconductor, high dynamic range can be achieved for a supply voltage as low as 1.2 V. In the other part, attempts in reducing the power consumption of two critical building blocks in a **frequency** synthesizer, namely, the quadrature **oscillator** and the first-stage **frequency** divider, are introduced. For the **oscillators**, two quadrature **oscillators** based on LC resonators are presented, in conjunction with a transistor-only quadrature **oscillator**. Quadrature signal generations in these designs are achieved by making use of the principles of ring **oscillator** and coupled **oscillator**. The last building block that is designed in this part is the LC-based injection-locked **frequency** divider. The single-ended Colpitts **oscillator** topology is used as the core circuit of the divider due to its simplicity and low-voltage property. Detailed analysis concerning the phase relationship between the input and the output leads to the implementations of differential and quadrature divider configurations. Although a silicon integration is done only for the baseband filter, the concept, the operation and the theories developed for the quadrature **oscillators** and the **frequency** dividers have been verified against simulations and measurements employing low-**frequency** discrete prototypes. As they are illustrated in each chapter, the established theories match closely to the measurements. ... Following the trend in portable wireless communications, this dissertation explores new approaches to designing of power-critical building blocks in the elementary circuit level. Specifically, the work focuses on designs of baseband continuous-time Gm-C filter, LC-resonator quadrature **oscillators**, transistor-only quadrature **oscillators** and LC-resonator **frequency** dividers. The established circuits share a common design objective of low-power and low-voltage operation, where the simplicity of the demonstrated topologies serves as a basis. The dissertation is separated in two parts. The first part is dedicated for the baseband section where a 3rd-order Bessel filter is designed and fabricated. The filter comprises a set of linear transconductors, which each one is based on the operation of triode-biased transistors. According to the operation in this region and to the simplicity of the transconductor, high dynamic range can be achieved for a supply voltage as low as 1.2 V. In the other part, attempts in reducing the power consumption of two critical building blocks in a **frequency** synthesizer, namely, the quadrature **oscillator** and the first-stage **frequency** divider, are introduced. For the **oscillators**, two quadrature **oscillators** based on LC resonators are presented, in conjunction with a transistor-only quadrature **oscillator**. Quadrature signal generations in these designs are achieved by making use of the principles of ring **oscillator** and coupled **oscillator**. The last building block that is designed in this part is the LC-based injection-locked **frequency** divider. The single-ended Colpitts **oscillator** topology is used as the core circuit of the divider due to its simplicity and low-voltage property. Detailed analysis concerning the phase relationship between the input and the output leads to the implementations of differential and quadrature divider configurations. Although a silicon integration is done only for the baseband filter, the concept, the operation and the theories developed for the quadrature **oscillators** and the **frequency** dividers have been verified against simulations and measurements employing low-**frequency** discrete prototypes. As they are illustrated in each chapter, the established theories match closely to the measurements.

Data types:

Contributors: Kovács, Imre

Date: 2009-01-01

A novel **frequency** synthesizer with a strong emphasis on low-power consumption (2mW) was developed for this thesis. A BAW-resonator was used for the design of the high-**frequency** **oscillator**. The BAW's high Q-Factor ensured a minimal power consumption, while providing outstanding phase noise performance. This type of **frequency** synthesizer can be implemented in practically every mobile wireless system standard, which is relying on batteries as the power supply, such as Bluetooth, Zigbee and others. For this work, a Bluetooth-compatible standard was taken in order to derive the system specifications. The **frequency** synthesizer then was designed and implemented in a 180nm CMOS process. The approach of the "Sliding-IF" architecture was chosen and modified in order to take full advantage on the BAW **oscillator**. Therefore a two-stage **frequency** translation of the signal was necessary, similar to the super-heterodyne transceiver topology. The channel selection and the **frequency** error correction is done at the second stage, since the BAW-based **oscillator** does practically not provide any **frequency** tuning. For this, a Delta-Sigma-Modulator based Fractional-N PLL was developed. A system supply voltage of 1.2V was chosen in order to keep power consumption as low as possible. This supply voltage can also be easily supplied by AA or AAA-batteries and a low-voltage regulator. The most important technique to reduce overall power consumption was to reduce the high-**frequency** requirements to the system blocks. This was done by modifying the "Sliding-IF" architecture and by the use of the BAW resonator. The minimization of the power consumption required careful choice and design of each of the system blocks. For this, several approaches were analyzed, especially the topology of each block and its optimization were important. A special emphasis on the analysis, design and discussion was also made on the noise, and especially the phase noise. A ring **oscillator**, a LC-VCO and a BAW-**oscillator** were implemented and measured in order to validate the theory and the simulation results. The complete **frequency** synthesizer with an Automatic Amplitude Control, **Frequency** Dividers, Mixer, Charge-Pump, Phase-**Frequency** Detector and a Delta-Sigma-Modulator was designed and implemented. This thesis was elaborated in the frame of the MiNAMI and MiMOSA projects of the European research programme (FP6). ... A novel **frequency** synthesizer with a strong emphasis on low-power consumption (2mW) was developed for this thesis. A BAW-resonator was used for the design of the high-**frequency** **oscillator**. The BAW's high Q-Factor ensured a minimal power consumption, while providing outstanding phase noise performance. This type of **frequency** synthesizer can be implemented in practically every mobile wireless system standard, which is relying on batteries as the power supply, such as Bluetooth, Zigbee and others. For this work, a Bluetooth-compatible standard was taken in order to derive the system specifications. The **frequency** synthesizer then was designed and implemented in a 180nm CMOS process. The approach of the "Sliding-IF" architecture was chosen and modified in order to take full advantage on the BAW **oscillator**. Therefore a two-stage **frequency** translation of the signal was necessary, similar to the super-heterodyne transceiver topology. The channel selection and the **frequency** error correction is done at the second stage, since the BAW-based **oscillator** does practically not provide any **frequency** tuning. For this, a Delta-Sigma-Modulator based Fractional-N PLL was developed. A system supply voltage of 1.2V was chosen in order to keep power consumption as low as possible. This supply voltage can also be easily supplied by AA or AAA-batteries and a low-voltage regulator. The most important technique to reduce overall power consumption was to reduce the high-**frequency** requirements to the system blocks. This was done by modifying the "Sliding-IF" architecture and by the use of the BAW resonator. The minimization of the power consumption required careful choice and design of each of the system blocks. For this, several approaches were analyzed, especially the topology of each block and its optimization were important. A special emphasis on the analysis, design and discussion was also made on the noise, and especially the phase noise. A ring **oscillator**, a LC-VCO and a BAW-**oscillator** were implemented and measured in order to validate the theory and the simulation results. The complete **frequency** synthesizer with an Automatic Amplitude Control, **Frequency** Dividers, Mixer, Charge-Pump, Phase-**Frequency** Detector and a Delta-Sigma-Modulator was designed and implemented. This thesis was elaborated in the frame of the MiNAMI and MiMOSA projects of the European research programme (FP6).

Data types:

Contributors: Borel, Jérémie

Date: 2008-01-01

The LHCb detector is one of the four experimental setups built to detect high-energy proton collisions to be produced by the Large Hadron Collider (LHC). Located at CERN (Geneva, Switzerland), the LHC machine and the LHCb experiment are expected to start in 2008, and will then operate for several years. Being the largest collider of its kind, the LHC will open the way to new investigations, in the very-high energies, but also in terms of statistics for the study of rare-phenomena and flavor physics. In this framework LHCb is dedicated to precise measurements of CP-violating and rare decays of beauty hadrons, in order to test (or over-constrain) the Standard Model of particle physics. From the hardware point of view, the construction of such detectors represents several challenges; one of them is the routing at a very high **frequency** of many signals in a harsh radiation environment. We designed to this purpose a hardware setup and a software filter which together reduce the cross-talk present in the readout of the LHCb vertex detector to a level of (1 ± 2)%, leading to an improved signal quality in the acquisition chain. From the physics point of view, many of the CP-violation measurements performed at LHCb using Bs decays, for example using Bs → Ds∓ K± decays, will require as input the Bs–Bs **oscillation** **frequency** Δms. Thus the measurement of Bs–Bs **oscillations**, which are best observed using the flavor-specific Bs → Ds- π+ decays, will play an important role. We have developed a complete selection of Bs → Ds- π+ and Bs → Ds∓ K± events, based on Monte Carlo simulations. Assuming 2 fb-1 of data, we expect a Bs → Ds- π+ signal yield, after the first level of trigger, of 155 k events over a background between 0.6 k and 7.8 k events at 90% confidence level. Moreover, we assess with fast Monte Carlo studies the corresponding statistical sensitivity on the Bs **oscillation** **frequency**, σ(Δms) = 0.008 ps-1, on the wrong tag fraction, σ(ω) = 0.003, as well as on other parameters related to the Bs-meson system. We also addressed an important aspect of the systematics associated with the Δms measurement, and developed a method to calibrate and assess the length scale. This calibration is performed through the reconstruction of secondary interactions occurring in the material of the vertex detector. We show that the statistical relative precision of this approach quickly matches 6 × 10-5, obtained from the survey measurements of the detector. ... The LHCb detector is one of the four experimental setups built to detect high-energy proton collisions to be produced by the Large Hadron Collider (LHC). Located at CERN (Geneva, Switzerland), the LHC machine and the LHCb experiment are expected to start in 2008, and will then operate for several years. Being the largest collider of its kind, the LHC will open the way to new investigations, in the very-high energies, but also in terms of statistics for the study of rare-phenomena and flavor physics. In this framework LHCb is dedicated to precise measurements of CP-violating and rare decays of beauty hadrons, in order to test (or over-constrain) the Standard Model of particle physics. From the hardware point of view, the construction of such detectors represents several challenges; one of them is the routing at a very high **frequency** of many signals in a harsh radiation environment. We designed to this purpose a hardware setup and a software filter which together reduce the cross-talk present in the readout of the LHCb vertex detector to a level of (1 ± 2)%, leading to an improved signal quality in the acquisition chain. From the physics point of view, many of the CP-violation measurements performed at LHCb using Bs decays, for example using Bs → Ds∓ K± decays, will require as input the Bs–Bs **oscillation** **frequency** Δms. Thus the measurement of Bs–Bs **oscillations**, which are best observed using the flavor-specific Bs → Ds- π+ decays, will play an important role. We have developed a complete selection of Bs → Ds- π+ and Bs → Ds∓ K± events, based on Monte Carlo simulations. Assuming 2 fb-1 of data, we expect a Bs → Ds- π+ signal yield, after the first level of trigger, of 155 k events over a background between 0.6 k and 7.8 k events at 90% confidence level. Moreover, we assess with fast Monte Carlo studies the corresponding statistical sensitivity on the Bs **oscillation** **frequency**, σ(Δms) = 0.008 ps-1, on the wrong tag fraction, σ(ω) = 0.003, as well as on other parameters related to the Bs-meson system. We also addressed an important aspect of the systematics associated with the Δms measurement, and developed a method to calibrate and assess the length scale. This calibration is performed through the reconstruction of secondary interactions occurring in the material of the vertex detector. We show that the statistical relative precision of this approach quickly matches 6 × 10-5, obtained from the survey measurements of the detector.

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Top results from Data Repository sources. Show only results like these.

Contributors: Righetti, Ludovic

Date: 2008-01-01

Legged robots have gained an increased attention these past decades since they offer a promising technology for many applications in unstructured environments where the use of wheeled robots is clearly limited. Such applications include exploration and rescue tasks where human intervention is difficult (e.g. after a natural disaster) or impossible (e.g. on radioactive sites) and the emerging domain of assistive robotics where robots should be able to meaningfully and efficiently interact with humans in their environment (e.g. climbing stairs). Moreover the technology developed for walking machines can help designing new rehabilitation devices for disabled persons such as active prostheses. However the control of agile legged locomotion is a challenging problem that is not yet solved in a satisfactory manner. By taking inspiration from the neural control of locomotion in animals, we develop in this thesis controllers for legged locomotion. These controllers are based on the concept of Central Pattern Generators (CPGs), which are neural networks located in the spine of vertebrates that generate the rhythmic patterns that control locomotion. The use of a strong mathematical framework, namely dynamical systems theory, allows one to build general design methodologies for such controllers. The original contributions of this thesis are organized along three main axes. The first one is a work on biological locomotion and more specifically on crawling human infants. Comparisons of the detailed kinematics and gait pattern of crawling infants with those of other quadruped mammals show many similarities. This is quite surprising since infant morphology is not well suited for quadruped locomotion. In a second part, we use some of these findings as an inspiration for the design of our locomotion controllers. We try to provide a systematic design methodology for CPGs. Specifically we design an **oscillator** to independently control the swing and stance durations during locomotion, then using insights from dynamical systems theory we construct generic networks supporting different gaits and finally we integrate sensory feedback in the system. Experiments on three different simulated quadruped robots show the effectiveness of the approach. The third axis of research focus on dynamical systems theory and more specifically on the development of an adaptive mechanism for **oscillators** such that they can learn the **frequency** of any periodic signal. Interestingly this mechanism is generic enough to work with a large class of **oscillators**. Extensive mathematical analysis are provided in order to understand the fundamental properties of this mechanism. Then an extension to pools of adaptive **frequency** **oscillators** with a negative feedback loop is used to build programmable CPGs (i.e. CPGs that can encode any periodic pattern as a structurally stable limit cycle). We use the system to control the locomotion of a humanoid robot. We also show applications of this system to signal processing. ... Legged robots have gained an increased attention these past decades since they offer a promising technology for many applications in unstructured environments where the use of wheeled robots is clearly limited. Such applications include exploration and rescue tasks where human intervention is difficult (e.g. after a natural disaster) or impossible (e.g. on radioactive sites) and the emerging domain of assistive robotics where robots should be able to meaningfully and efficiently interact with humans in their environment (e.g. climbing stairs). Moreover the technology developed for walking machines can help designing new rehabilitation devices for disabled persons such as active prostheses. However the control of agile legged locomotion is a challenging problem that is not yet solved in a satisfactory manner. By taking inspiration from the neural control of locomotion in animals, we develop in this thesis controllers for legged locomotion. These controllers are based on the concept of Central Pattern Generators (CPGs), which are neural networks located in the spine of vertebrates that generate the rhythmic patterns that control locomotion. The use of a strong mathematical framework, namely dynamical systems theory, allows one to build general design methodologies for such controllers. The original contributions of this thesis are organized along three main axes. The first one is a work on biological locomotion and more specifically on crawling human infants. Comparisons of the detailed kinematics and gait pattern of crawling infants with those of other quadruped mammals show many similarities. This is quite surprising since infant morphology is not well suited for quadruped locomotion. In a second part, we use some of these findings as an inspiration for the design of our locomotion controllers. We try to provide a systematic design methodology for CPGs. Specifically we design an **oscillator** to independently control the swing and stance durations during locomotion, then using insights from dynamical systems theory we construct generic networks supporting different gaits and finally we integrate sensory feedback in the system. Experiments on three different simulated quadruped robots show the effectiveness of the approach. The third axis of research focus on dynamical systems theory and more specifically on the development of an adaptive mechanism for **oscillators** such that they can learn the **frequency** of any periodic signal. Interestingly this mechanism is generic enough to work with a large class of **oscillators**. Extensive mathematical analysis are provided in order to understand the fundamental properties of this mechanism. Then an extension to pools of adaptive **frequency** **oscillators** with a negative feedback loop is used to build programmable CPGs (i.e. CPGs that can encode any periodic pattern as a structurally stable limit cycle). We use the system to control the locomotion of a humanoid robot. We also show applications of this system to signal processing.

Data types:

Contributors: Buchli, Jonas

Date: 2007-01-01

In this thesis, we present a dynamical systems approach to adaptive controllers for locomotion control. The approach is based on a rigorous mathematical framework using nonlinear dynamical systems and is inspired by theories of self-organization. Nonlinear dynamical systems such as coupled **oscillators** are an interesting approach for the on-line generation of trajectories for robots with many degrees of freedom (e.g. legged locomotion). However, designing a nonlinear dynamical system to satisfy a given specification and goal is not an easy task, and, hitherto no methodology exists to approach this problem in a unified way. Nature presents us with satisfactory solutions for the coordination of many degrees of freedom. One central feature observed in biological subjects is the ability of the neural systems to exploit natural dynamics of the body to achieve efficient locomotion. In order to be able to exploit the body properties, adaptive mechanisms must be at work. Recent work has pointed out the importance of the mechanical system for efficient locomotion. Even more interestingly, such well suited mechanical systems do not need complicated control. Yet, in robotics, in most approaches, adaptive mechanisms are either missing or they are not based on a rigorous framework, i.e. they are based on heuristics and ad-hoc approaches. Over the last three decades there has been enormous progress in describing movement coordination with the help of Synergetic approaches. This has led to the formulation of a theoretical framework: the theory of dynamic patterns. This framework is mathematically rigorous and at the same time fully operational. However, it does not provide any guidelines for synthetic approaches as needed for the engineering of robots with many degrees of freedom, nor does it directly help to explain adaptive systems. We will show how we can extend the theoretical framework to build adaptive systems. For this purpose, we propose the use of multi-scale dynamical systems. The basic idea behind multi-scale dynamical systems is that a given dynamical system gets extended by additional slow dynamics of its parameters, i.e. some of the parameters become state variables. The advantages of the framework of multi-scale dynamical systems for adaptive controllers are 1) fully dynamic description, 2) no separation of learning algorithm and learning substrate, 3) no separation of learning trials or time windows, 4) mathematically rigorous, 5) low dimensional systems. However, in order to fully exploit the framework important questions have to be solved. Most importantly, methodologies for designing the feedback loops have to be found and important theoretical questions about stability and convergence properties of the devised systems have to be answered. In order to tackle this challenge, we first introduce an engineering view on designing nonlinear dynamical systems and especially **oscillators**. We will highlight the important differences and freedom that this engineering view introduces as opposed to a modeling one. We then apply this approach by first proposing a very simple adaptive toy-system, consisting of a dynamical system coupled to a spring-mass system. Due to its spring-mass dynamics, this system contains clear natural dynamics in the form of resonant **frequencies**. We propose a prototype adaptive multi-scale system, the adaptive **frequency** **oscillator**, which is able to adapt its intrinsic **frequency** to the resonant **frequency** of the body dynamics. After a small sidetrack to show that we can use adaptive **frequency** **oscillators** also for other applications than for adaptive controllers, namely for **frequency** analysis, we then come back to further investigation of the adaptive controller. We apply the same controller concept to a simple spring-mass hopper system. The spring-mass system consists of a body with two legs attached by rotational joints. The legs contain spring-damper elements. Finally, we present results of the implementation of the controller on a real robot, the experimental robot PUPPY II. This robot is a under-actuated robot with spring dynamics in the knee joints. It will be shown, that due to the appropriate simplification and concentration on relevant features in the toy-system the controller concepts works without a fundamental change on all systems from the toy system up to the real robot. ... In this thesis, we present a dynamical systems approach to adaptive controllers for locomotion control. The approach is based on a rigorous mathematical framework using nonlinear dynamical systems and is inspired by theories of self-organization. Nonlinear dynamical systems such as coupled **oscillators** are an interesting approach for the on-line generation of trajectories for robots with many degrees of freedom (e.g. legged locomotion). However, designing a nonlinear dynamical system to satisfy a given specification and goal is not an easy task, and, hitherto no methodology exists to approach this problem in a unified way. Nature presents us with satisfactory solutions for the coordination of many degrees of freedom. One central feature observed in biological subjects is the ability of the neural systems to exploit natural dynamics of the body to achieve efficient locomotion. In order to be able to exploit the body properties, adaptive mechanisms must be at work. Recent work has pointed out the importance of the mechanical system for efficient locomotion. Even more interestingly, such well suited mechanical systems do not need complicated control. Yet, in robotics, in most approaches, adaptive mechanisms are either missing or they are not based on a rigorous framework, i.e. they are based on heuristics and ad-hoc approaches. Over the last three decades there has been enormous progress in describing movement coordination with the help of Synergetic approaches. This has led to the formulation of a theoretical framework: the theory of dynamic patterns. This framework is mathematically rigorous and at the same time fully operational. However, it does not provide any guidelines for synthetic approaches as needed for the engineering of robots with many degrees of freedom, nor does it directly help to explain adaptive systems. We will show how we can extend the theoretical framework to build adaptive systems. For this purpose, we propose the use of multi-scale dynamical systems. The basic idea behind multi-scale dynamical systems is that a given dynamical system gets extended by additional slow dynamics of its parameters, i.e. some of the parameters become state variables. The advantages of the framework of multi-scale dynamical systems for adaptive controllers are 1) fully dynamic description, 2) no separation of learning algorithm and learning substrate, 3) no separation of learning trials or time windows, 4) mathematically rigorous, 5) low dimensional systems. However, in order to fully exploit the framework important questions have to be solved. Most importantly, methodologies for designing the feedback loops have to be found and important theoretical questions about stability and convergence properties of the devised systems have to be answered. In order to tackle this challenge, we first introduce an engineering view on designing nonlinear dynamical systems and especially **oscillators**. We will highlight the important differences and freedom that this engineering view introduces as opposed to a modeling one. We then apply this approach by first proposing a very simple adaptive toy-system, consisting of a dynamical system coupled to a spring-mass system. Due to its spring-mass dynamics, this system contains clear natural dynamics in the form of resonant **frequencies**. We propose a prototype adaptive multi-scale system, the adaptive **frequency** **oscillator**, which is able to adapt its intrinsic **frequency** to the resonant **frequency** of the body dynamics. After a small sidetrack to show that we can use adaptive **frequency** **oscillators** also for other applications than for adaptive controllers, namely for **frequency** analysis, we then come back to further investigation of the adaptive controller. We apply the same controller concept to a simple spring-mass hopper system. The spring-mass system consists of a body with two legs attached by rotational joints. The legs contain spring-damper elements. Finally, we present results of the implementation of the controller on a real robot, the experimental robot PUPPY II. This robot is a under-actuated robot with spring dynamics in the knee joints. It will be shown, that due to the appropriate simplification and concentration on relevant features in the toy-system the controller concepts works without a fundamental change on all systems from the toy system up to the real robot.

Data types:

Contributors: Van Zaen, Jérôme

Date: 2012-01-01

Amplitude and **frequency** are the two primary features of one-dimensional signals, and thus both are widely utilized to analysis data in numerous fields. While amplitude can be examined directly, **frequency** requires more elaborate approaches, except in the simplest cases. Consequently, a large number of techniques have been proposed over the years to retrieve information about **frequency**. The most famous method is probably power spectral density estimation. However, this approach is limited to stationary signals since the temporal information is lost. Time-**frequency** approaches were developed to tackle the problem of **frequency** estimation in non-stationary data. Although they can estimate the power of a signal in a given time interval and in a given **frequency** band, these tools have two drawbacks that make them less valuable in certain situations. First, due to their interdependent time and **frequency** resolutions, improving the accuracy in one domain means decreasing it in the other one. Second, it is difficult to use this kind of approach to estimate the instantaneous **frequency** of a specific oscillatory component. A solution to these two limitations is provided by adaptive **frequency** tracking algorithms. Typically, these algorithms use a time-varying filter (a band-pass or notch filter in most cases) to extract an **oscillation**, and an adaptive mechanism to estimate its instantaneous **frequency**. The main objective of the first part of the present thesis is to develop such a scheme for adaptive **frequency** tracking, the single **frequency** tracker. This algorithm compares favorably with existing methods for **frequency** tracking in terms of bias, variance and convergence speed. The most distinguishing feature of this adaptive algorithm is that it maximizes the oscillatory behavior at its output. Furthermore, due to its specific time-varying band-pass filter, it does not introduce any distortion in the extracted component. This scheme is also extended to tackle certain situations, namely the presence of several **oscillations** in a single signal, the related issue of harmonic components, and the availability of more than one signal with the **oscillation** of interest. The first extension is aimed at tracking several components simultaneously. The basic idea is to use one tracker to estimate the instantaneous **frequency** of each **oscillation**. The second extension uses the additional information contained in several signals to achieve better overall performance. Specifically, it computes separately instantaneous **frequency** estimates for all available signals which are then combined with weights minimizing the estimation variance. The third extension, which is based on an idea similar to the first one and uses the same weighting procedure as the second one, takes into account the harmonic structure of a signal to improve the estimation performance. A non-causal iterative method for offline processing is also developed in order to enhance an initial **frequency** trajectory by using future information in addition to past information. Like the single **frequency** tracker, this method aims at maximizing the oscillatory behavior at the output. Any approach can be used to obtain the initial trajectory. In the second part of this dissertation, the schemes for adaptive **frequency** tracking developed in the first part are applied to electroencephalographic and electrcardiographic data. In a first study, the single **frequency** tracker is used to analyze interactions between neuronal **oscillations** in different **frequency** bands, known as cross-**frequency** couplings, during a visual evoked potential experiment with illusory contour stimuli. With this adaptive approach ensuring that meaningful phase information is extracted, the differences in coupling strength between stimuli with and without illusory contours are more clearly highlighted than with traditional methods based on predefined filter-banks. In addition, the adaptive scheme leads to the detection of differences in instantaneous **frequency**. In a second study, two organization measures are derived from the harmonic extension. They are based on the power repartition in the **frequency** domain for the first one and on the phase relation between harmonic components for the second one. These measures, computed from the surface electrocardiogram, are shown to help predicting the outcome of catheter ablation of persistent atrial fibrillation. The proposed adaptive **frequency** tracking schemes are also applied to signals recorded in the field of sport sciences in order to illustrate their potential uses. To summarize, the present thesis introduces several algorithms for adaptive **frequency** tracking. These algorithms are presented in full detail and they are then applied to practical situations. In particular, they are shown to improve the detection of coupling mechanisms in brain activity and to provide relevant organization measures for atrial fibrillation. ... Amplitude and **frequency** are the two primary features of one-dimensional signals, and thus both are widely utilized to analysis data in numerous fields. While amplitude can be examined directly, **frequency** requires more elaborate approaches, except in the simplest cases. Consequently, a large number of techniques have been proposed over the years to retrieve information about **frequency**. The most famous method is probably power spectral density estimation. However, this approach is limited to stationary signals since the temporal information is lost. Time-**frequency** approaches were developed to tackle the problem of **frequency** estimation in non-stationary data. Although they can estimate the power of a signal in a given time interval and in a given **frequency** band, these tools have two drawbacks that make them less valuable in certain situations. First, due to their interdependent time and **frequency** resolutions, improving the accuracy in one domain means decreasing it in the other one. Second, it is difficult to use this kind of approach to estimate the instantaneous **frequency** of a specific oscillatory component. A solution to these two limitations is provided by adaptive **frequency** tracking algorithms. Typically, these algorithms use a time-varying filter (a band-pass or notch filter in most cases) to extract an **oscillation**, and an adaptive mechanism to estimate its instantaneous **frequency**. The main objective of the first part of the present thesis is to develop such a scheme for adaptive **frequency** tracking, the single **frequency** tracker. This algorithm compares favorably with existing methods for **frequency** tracking in terms of bias, variance and convergence speed. The most distinguishing feature of this adaptive algorithm is that it maximizes the oscillatory behavior at its output. Furthermore, due to its specific time-varying band-pass filter, it does not introduce any distortion in the extracted component. This scheme is also extended to tackle certain situations, namely the presence of several **oscillations** in a single signal, the related issue of harmonic components, and the availability of more than one signal with the **oscillation** of interest. The first extension is aimed at tracking several components simultaneously. The basic idea is to use one tracker to estimate the instantaneous **frequency** of each **oscillation**. The second extension uses the additional information contained in several signals to achieve better overall performance. Specifically, it computes separately instantaneous **frequency** estimates for all available signals which are then combined with weights minimizing the estimation variance. The third extension, which is based on an idea similar to the first one and uses the same weighting procedure as the second one, takes into account the harmonic structure of a signal to improve the estimation performance. A non-causal iterative method for offline processing is also developed in order to enhance an initial **frequency** trajectory by using future information in addition to past information. Like the single **frequency** tracker, this method aims at maximizing the oscillatory behavior at the output. Any approach can be used to obtain the initial trajectory. In the second part of this dissertation, the schemes for adaptive **frequency** tracking developed in the first part are applied to electroencephalographic and electrcardiographic data. In a first study, the single **frequency** tracker is used to analyze interactions between neuronal **oscillations** in different **frequency** bands, known as cross-**frequency** couplings, during a visual evoked potential experiment with illusory contour stimuli. With this adaptive approach ensuring that meaningful phase information is extracted, the differences in coupling strength between stimuli with and without illusory contours are more clearly highlighted than with traditional methods based on predefined filter-banks. In addition, the adaptive scheme leads to the detection of differences in instantaneous **frequency**. In a second study, two organization measures are derived from the harmonic extension. They are based on the power repartition in the **frequency** domain for the first one and on the phase relation between harmonic components for the second one. These measures, computed from the surface electrocardiogram, are shown to help predicting the outcome of catheter ablation of persistent atrial fibrillation. The proposed adaptive **frequency** tracking schemes are also applied to signals recorded in the field of sport sciences in order to illustrate their potential uses. To summarize, the present thesis introduces several algorithms for adaptive **frequency** tracking. These algorithms are presented in full detail and they are then applied to practical situations. In particular, they are shown to improve the detection of coupling mechanisms in brain activity and to provide relevant organization measures for atrial fibrillation.

Data types:

Contributors: Matheoud, Alessandro Valentino

Date: 2019-01-01

Methods based on the electron spin resonance (ESR) phenomenon are non-invasive tools adopted to investigate paramagnetic systems at temperatures ranging from above 1000 K to below 1 K. Since 2008, the group of Dr. Boero has been working on a detection technique based on the integration of ESR sensors on single chips. The proposed methodology allowed to study samples in the nanoliter scale and reach a spin sensitivity at least two orders of magnitude better than the best commercially available spectrometers. The detection principle can be summarized as follows. An ESR sensitive sample is placed in close proximity to the planar inductor of an LC **oscillator** operating at microwave **frequency**. In presence of a suitable static magnetic field, the ESR phenomenon takes place. It causes a variation in the sample magnetization which translates to a variation of the inductance, leading to both a **frequency** shift of the **oscillator** (**frequency** detection) and a variation of the **oscillation** amplitude (amplitude detection). Consequently, the ESR phenomenon may be detected by tracking the operating point of the **oscillator**. In this thesis, I investigate the application of the aforementioned detection principle in the range from 400 MHz to 360 GHz. Firstly, a semi-integrated solution operating from 400 MHz to 610 MHz is developed for an industrial application (CTI project). In such context, the originality of the work stands in the implementation of a completely standalone portable scanner for contactless inspection which may also be used for ferromagnetic (FMR) applications and zero-field measurements. Secondly, a set of single-chip ESR detectors working from 10 GHz to 146 GHz and based on CMOS technologies are characterized from 300 K down to 10 K. Here, an ESR experiment at a **frequency** as high as 360 GHz can be performed thanks to the fourth harmonic signal generated by a 90 GHz detector. Conversely, the 10 GHz detector shows the best noise performance and allows to achieve the record distance resolution of 0.3 pm when used as a proximity sensor. After that, the possibility of using integrated technologies based on HEMTs is investigated so as to overcome the main limitations of the CMOS based detectors: (1) the high power consumption which denies their use below 10 K and (2) the saturation issue due to the magnitude of the intrinsic microwave magnetic field produced by the **oscillators**. In this context, two HEMT **oscillators** working at 11 GHz and 25 GHz are realized. In particular, the former achieves the record minimum power consumption (90 uW at 300 K and 4 uW below 30 K) currently reported in the literature for **oscillators** working in the same **frequency** range. Also, the proposed sensor achieves a minimum microwave magnetic field of less than 1 uT at 300 K and less than 0.1 uT below 30 K, i.e., orders of magnitude below the values achieved with previous CMOS detectors. Furthermore, an analytical model is carried out in order to estimate the minimum achievable power consumption for an LC single-ended Colpitts **oscillator** based on any single FET. Lastly, the DC characterization of a standing alone HEMT transistor is provided from 300 K down to 1.4 K, ranging from the standard Ids-Vs-Vds curves to the extraction of both the number of carriers and their effective mobility. The former comes from the analysis of the Shubnikov-de-Haas **oscillations** whereas the latter is calculated by means of Hall-effect based experiments. ... Methods based on the electron spin resonance (ESR) phenomenon are non-invasive tools adopted to investigate paramagnetic systems at temperatures ranging from above 1000 K to below 1 K. Since 2008, the group of Dr. Boero has been working on a detection technique based on the integration of ESR sensors on single chips. The proposed methodology allowed to study samples in the nanoliter scale and reach a spin sensitivity at least two orders of magnitude better than the best commercially available spectrometers. The detection principle can be summarized as follows. An ESR sensitive sample is placed in close proximity to the planar inductor of an LC **oscillator** operating at microwave **frequency**. In presence of a suitable static magnetic field, the ESR phenomenon takes place. It causes a variation in the sample magnetization which translates to a variation of the inductance, leading to both a **frequency** shift of the **oscillator** (**frequency** detection) and a variation of the **oscillation** amplitude (amplitude detection). Consequently, the ESR phenomenon may be detected by tracking the operating point of the **oscillator**. In this thesis, I investigate the application of the aforementioned detection principle in the range from 400 MHz to 360 GHz. Firstly, a semi-integrated solution operating from 400 MHz to 610 MHz is developed for an industrial application (CTI project). In such context, the originality of the work stands in the implementation of a completely standalone portable scanner for contactless inspection which may also be used for ferromagnetic (FMR) applications and zero-field measurements. Secondly, a set of single-chip ESR detectors working from 10 GHz to 146 GHz and based on CMOS technologies are characterized from 300 K down to 10 K. Here, an ESR experiment at a **frequency** as high as 360 GHz can be performed thanks to the fourth harmonic signal generated by a 90 GHz detector. Conversely, the 10 GHz detector shows the best noise performance and allows to achieve the record distance resolution of 0.3 pm when used as a proximity sensor. After that, the possibility of using integrated technologies based on HEMTs is investigated so as to overcome the main limitations of the CMOS based detectors: (1) the high power consumption which denies their use below 10 K and (2) the saturation issue due to the magnitude of the intrinsic microwave magnetic field produced by the **oscillators**. In this context, two HEMT **oscillators** working at 11 GHz and 25 GHz are realized. In particular, the former achieves the record minimum power consumption (90 uW at 300 K and 4 uW below 30 K) currently reported in the literature for **oscillators** working in the same **frequency** range. Also, the proposed sensor achieves a minimum microwave magnetic field of less than 1 uT at 300 K and less than 0.1 uT below 30 K, i.e., orders of magnitude below the values achieved with previous CMOS detectors. Furthermore, an analytical model is carried out in order to estimate the minimum achievable power consumption for an LC single-ended Colpitts **oscillator** based on any single FET. Lastly, the DC characterization of a standing alone HEMT transistor is provided from 300 K down to 1.4 K, ranging from the standard Ids-Vs-Vds curves to the extraction of both the number of carriers and their effective mobility. The former comes from the analysis of the Shubnikov-de-Haas **oscillations** whereas the latter is calculated by means of Hall-effect based experiments.

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Contributors: Ghadimi, Amir Hossein

Date: 2018-01-01

Mechanical **oscillators** are among the most important scientific tools in the modern physics. From the pioneering experiments in 18th by founding fathers of modern physics such as Newton, Hooke and Cavendish to the ground braking experiments in the 21th century where the merge of two massive black holes 1.3 billion light-year away detected on earth by a gravitational wave detectors, the high Q mechanical **oscillators** were at the core of many monumental experiments in physics. Their ability to couple to many different physical quantities such as mass, charge, acceleration, electro-magnetic forces and optical fields makes them an ideal candidate for sensing applications. In addition, their intrinsically low dissipation rates (¿m) results in reduced coupling to the thermal bath. Since the invention of micro/nano-technology in the second half of the 20th century and ability to control the dimensions at micro and nano-scales, new horizon was opened up for mirco/nanomechanical **oscillators**. Miniaturization of the mechanical **oscillators** made them small and stiff enough to be used in our handheld electronics where dozens of mechanical sensors such as accelerometers and gyroscopes are used in our laptops and smartphones everyday. Besides these technological advancements, since the beginning of 21th century, a new opportunity for mechanical **oscillators** emerged: the idea of ¿putting mechanics into quantum mechanics¿ and observing the quantum effects of these massive classical **oscillators**. Aside from the numerous technical challenges for achieving this goal, two fundamental obstacles has to solved: I) Even the smallest nano-mechanical **oscillators** still consist of billions of atoms and molecules and are orders of magnitude more massive that the traditional ¿quantum objects¿ such as atoms and molecules. Larger mass results in smaller zero point motion¿the length scale where quantum effects are visible¿which means in order to ¿see¿ these quantum effects, we have to detect smaller displacement than ever before. II) The second challenge is the low **frequency** of the mechanical **oscillators** which makes their thermal Brownian energy, orders of magnitude larger than the quantum ground state of the **oscillator**¿the energy scale where the quantum effects are visible¿as n_th = kBT/h¿>>1 even for a ¿/2¿ ~ 1GHz **oscillator** at room temperature. Both of these obstacles, can be seen as the competition between few fundamental rates: thermal decoherence and measurement rate/mechanical **frequency**. Thermal decoherence is the rate at which the mechanical **oscillator** exchange phonons ¿ quanta of mechanical energy (h¿)¿ with its thermal environment and is given by ¿decoherence = ¯ n_th*¿m. The first obstacle translates to having the measurement rate being faster than the decoherence rate of the mechanical **oscillator**, ¿measurement>¿decoherence. This means in order to see the quantum coherent motion of the mechanical **oscillator**, we have to ¿look¿ at it before it has time to exchange random thermal energy with its environment. In other words, the life time of the quantum states of macroscopic objects are limited by their thermal decoherence rate and we have to interact with the **oscillator** in this short lifetime. The second obstacle on the other hand, reduces to having the mechanical **frequency** larger than its thermal decoherence rate, ¿m >¿decoherence. Over the past 15 years, the field of cavity opto-mechanics was very successful in improving the measurement schemes and designing ... ... Mechanical **oscillators** are among the most important scientific tools in the modern physics. From the pioneering experiments in 18th by founding fathers of modern physics such as Newton, Hooke and Cavendish to the ground braking experiments in the 21th century where the merge of two massive black holes 1.3 billion light-year away detected on earth by a gravitational wave detectors, the high Q mechanical **oscillators** were at the core of many monumental experiments in physics. Their ability to couple to many different physical quantities such as mass, charge, acceleration, electro-magnetic forces and optical fields makes them an ideal candidate for sensing applications. In addition, their intrinsically low dissipation rates (¿m) results in reduced coupling to the thermal bath. Since the invention of micro/nano-technology in the second half of the 20th century and ability to control the dimensions at micro and nano-scales, new horizon was opened up for mirco/nanomechanical **oscillators**. Miniaturization of the mechanical **oscillators** made them small and stiff enough to be used in our handheld electronics where dozens of mechanical sensors such as accelerometers and gyroscopes are used in our laptops and smartphones everyday. Besides these technological advancements, since the beginning of 21th century, a new opportunity for mechanical **oscillators** emerged: the idea of ¿putting mechanics into quantum mechanics¿ and observing the quantum effects of these massive classical **oscillators**. Aside from the numerous technical challenges for achieving this goal, two fundamental obstacles has to solved: I) Even the smallest nano-mechanical **oscillators** still consist of billions of atoms and molecules and are orders of magnitude more massive that the traditional ¿quantum objects¿ such as atoms and molecules. Larger mass results in smaller zero point motion¿the length scale where quantum effects are visible¿which means in order to ¿see¿ these quantum effects, we have to detect smaller displacement than ever before. II) The second challenge is the low **frequency** of the mechanical **oscillators** which makes their thermal Brownian energy, orders of magnitude larger than the quantum ground state of the **oscillator**¿the energy scale where the quantum effects are visible¿as n_th = kBT/h¿>>1 even for a ¿/2¿ ~ 1GHz **oscillator** at room temperature. Both of these obstacles, can be seen as the competition between few fundamental rates: thermal decoherence and measurement rate/mechanical **frequency**. Thermal decoherence is the rate at which the mechanical **oscillator** exchange phonons ¿ quanta of mechanical energy (h¿)¿ with its thermal environment and is given by ¿decoherence = ¯ n_th*¿m. The first obstacle translates to having the measurement rate being faster than the decoherence rate of the mechanical **oscillator**, ¿measurement>¿decoherence. This means in order to see the quantum coherent motion of the mechanical **oscillator**, we have to ¿look¿ at it before it has time to exchange random thermal energy with its environment. In other words, the life time of the quantum states of macroscopic objects are limited by their thermal decoherence rate and we have to interact with the **oscillator** in this short lifetime. The second obstacle on the other hand, reduces to having the mechanical **frequency** larger than its thermal decoherence rate, ¿m >¿decoherence. Over the past 15 years, the field of cavity opto-mechanics was very successful in improving the measurement schemes and designing ...

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Contributors: Viola, Francesco

Date: 2016-01-01

Similarly to mechanical structures, stable flows can exhibit resonance when perturbed by an impulsive or harmonic forcing. Swirling wakes and sloshing waves belong to this kind of flows and manifest large energy response when excited close to their natural **frequencies**. Although these **frequencies** can be predicted by linear modal analysis, the full flow dynamics differs from the modal one because entailed by the mutual cooperation of the natural modes (non-normal effects) and dependent on the **oscillation** amplitude (nonlinear effects). In this thesis, the response of swirling wakes subjected to a harmonic forcing is studied numerically and theoretically. Direct numerical simulations show that a large variety of helical modes can be excited and amplified in trailing vortices when a harmonic inlet or volume forcing is imposed, with the appearance of higher wavenumber modes at higher **frequency**. The mode-selection mechanism is shown to be directly connected to the local stability properties of the flow, and is simultaneously investigated by a WKB approximation, in the framework of weakly non-parallel flows, and by the global resolvent approach. This analysis is then extended to the case of turbulent swirling flows to investigate the physical origin of the meandering **oscillations** of the hub vortex, that is observed in wind turbine wakes experiments. We show as this low **frequency** spectral component is the result of a convectively unstable single-helix structure that **oscillates** at a **frequency** equal to one third the rotational **frequency** of the wind turbine rotor. Consequently, an adjoint-based technique for the passive control of these helical instabilities is proposed. We then turn our attention towards the transient decay of sloshing waves affected by a viscous friction at the containerâs wall, that exhibits a sublinear dependence in the interface velocity, i.e. a power law with an exponent smaller than one. This capillary effect is exacerbated in our experiment by placing a thin layer of foam on the liquid phase that act as a collection of air-liquid interfaces. In contrast to classical theory, we uncover the existence of a finite-time singularity in our system yielding the arrest of the sloshing **oscillations** in a finite time and we propose a minimal theoretical framework to capture this effect. Using first principles, we then study the effect of contact angle hysteresis on sloshing waves. We show asymptotically that, in contrast to viscous damping where the wave motion decays exponentially, the contact angle hysteresis acts as Coulomb solid friction yielding the damping rate induced by the motion of the liquid meniscus to increase at small amplitude, consistently with the experimental observation. ... Similarly to mechanical structures, stable flows can exhibit resonance when perturbed by an impulsive or harmonic forcing. Swirling wakes and sloshing waves belong to this kind of flows and manifest large energy response when excited close to their natural **frequencies**. Although these **frequencies** can be predicted by linear modal analysis, the full flow dynamics differs from the modal one because entailed by the mutual cooperation of the natural modes (non-normal effects) and dependent on the **oscillation** amplitude (nonlinear effects). In this thesis, the response of swirling wakes subjected to a harmonic forcing is studied numerically and theoretically. Direct numerical simulations show that a large variety of helical modes can be excited and amplified in trailing vortices when a harmonic inlet or volume forcing is imposed, with the appearance of higher wavenumber modes at higher **frequency**. The mode-selection mechanism is shown to be directly connected to the local stability properties of the flow, and is simultaneously investigated by a WKB approximation, in the framework of weakly non-parallel flows, and by the global resolvent approach. This analysis is then extended to the case of turbulent swirling flows to investigate the physical origin of the meandering **oscillations** of the hub vortex, that is observed in wind turbine wakes experiments. We show as this low **frequency** spectral component is the result of a convectively unstable single-helix structure that **oscillates** at a **frequency** equal to one third the rotational **frequency** of the wind turbine rotor. Consequently, an adjoint-based technique for the passive control of these helical instabilities is proposed. We then turn our attention towards the transient decay of sloshing waves affected by a viscous friction at the containerâs wall, that exhibits a sublinear dependence in the interface velocity, i.e. a power law with an exponent smaller than one. This capillary effect is exacerbated in our experiment by placing a thin layer of foam on the liquid phase that act as a collection of air-liquid interfaces. In contrast to classical theory, we uncover the existence of a finite-time singularity in our system yielding the arrest of the sloshing **oscillations** in a finite time and we propose a minimal theoretical framework to capture this effect. Using first principles, we then study the effect of contact angle hysteresis on sloshing waves. We show asymptotically that, in contrast to viscous damping where the wave motion decays exponentially, the contact angle hysteresis acts as Coulomb solid friction yielding the damping rate induced by the motion of the liquid meniscus to increase at small amplitude, consistently with the experimental observation.

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Contributors: Özsema, Hasene Gülperi

Date: 2017-01-01

Twentieth century has been the golden age of semiconductor industry by achieving a high level of growth as a courtesy of developments in fabrication techniques and downscaling of the technology. Since the downscaling in current lithography technology is reaching its limits, it becomes harder to keep up with the Moore's Law. Hence, the industry shifts its focus to More-than-Moore approach that is diversifying the functionalities integrated on the chip. In this new era, FDSOI technology draws attention thanks to its analog/RF friendly structure, body-tuning feature and economic advantage compared to its competitors. Despite these advantages, analog/mixed-signal design suffers from reduced supply voltage, leakage and insufficient signal integrity in this technology. Therefore, designers need new design approaches to combat these issues. Towards this aim, working on ultra high **frequency** clock generation is suitable since it is a true analog/mixed-signal design question with possible architectures composing of analog and digital blocks. Moreover, high speed clock generation is essential in a range of applications including mobile communications, microprocessors and memories. Although the intrinsic speed of the transistors has increased significantly in the state-of-the-art processes, the clock **frequencies** have not reached this high level due to physical limitations. Parallelism can surpass this constraint. It has gained popularity especially in time-interleaved (TI) ADCs. These TI systems require multi-phase clock signals. Hence, ultra high **frequency** clock generation with multiple phases is an attractive research topic. The goal of this thesis is to determine the performance limits for ultra high **frequency** multi-phase clock generators in 28 nm FDSOI process and explore the potential of this technology in solving the challenges of analog/mixed-signal design. In order to fulfil these purposes, two chips have been fabricated. The first one demonstrates an 8-phase 7.51 GHz to 8.38 GHz body-tuned ring **oscillator** (VCO) with less than 4% KVCO variation over its tuning voltage range. The circuit exhibits a **frequency** tuning range of 870 MHz with a very linear KVCO of 484 MHz/V. The **oscillator** consumes 4 mW and the measured phase noise is -77.44 dBc/Hz at a 1 MHz offset from a 8.38 GHz center **frequency**. Dual-core and quad-core versions of the VCO are also tested. The output **frequency** of the dual-core VCO is from 6.72 GHz to 7.51 GHz with a tuning range of 790 MHz and a KVCO of 439 MHz/V. And, the output **frequency** of the quad-core VCO is from 6.53 GHz to 7.06 GHz with a tuning range of 530 MHz and a KVCO of 295 MHz/V. The second chip incorporates a highly-programmable **frequency** synthesizer whose core block is a third-order charge-pump PLL that uses the same VCO as the first chip. The PLL is enriched with digital circuitry solutions and a charge pump using a body-driven comparator. The programmability allows controlling the stability, loop bandwidth and output noise. The measurement results show that the PLL can synthesize **frequencies** from 7.2 GHz to 7.76 GHz. The whole system consumes 15.78 mW and the measured phase noise is -85.14 dBc/Hz at 1 MHz offset from 7.44 GHz center **frequency**. At the same **frequency**, the resulting minimum jitter is 5.65 ps. To the best of author's knowledge, these chips are the first FDSOI silicon demonstrations of a body-tuned high **frequency** ring **oscillator** with linear tuning characteristics and its integration into a PLL. ... Twentieth century has been the golden age of semiconductor industry by achieving a high level of growth as a courtesy of developments in fabrication techniques and downscaling of the technology. Since the downscaling in current lithography technology is reaching its limits, it becomes harder to keep up with the Moore's Law. Hence, the industry shifts its focus to More-than-Moore approach that is diversifying the functionalities integrated on the chip. In this new era, FDSOI technology draws attention thanks to its analog/RF friendly structure, body-tuning feature and economic advantage compared to its competitors. Despite these advantages, analog/mixed-signal design suffers from reduced supply voltage, leakage and insufficient signal integrity in this technology. Therefore, designers need new design approaches to combat these issues. Towards this aim, working on ultra high **frequency** clock generation is suitable since it is a true analog/mixed-signal design question with possible architectures composing of analog and digital blocks. Moreover, high speed clock generation is essential in a range of applications including mobile communications, microprocessors and memories. Although the intrinsic speed of the transistors has increased significantly in the state-of-the-art processes, the clock **frequencies** have not reached this high level due to physical limitations. Parallelism can surpass this constraint. It has gained popularity especially in time-interleaved (TI) ADCs. These TI systems require multi-phase clock signals. Hence, ultra high **frequency** clock generation with multiple phases is an attractive research topic. The goal of this thesis is to determine the performance limits for ultra high **frequency** multi-phase clock generators in 28 nm FDSOI process and explore the potential of this technology in solving the challenges of analog/mixed-signal design. In order to fulfil these purposes, two chips have been fabricated. The first one demonstrates an 8-phase 7.51 GHz to 8.38 GHz body-tuned ring **oscillator** (VCO) with less than 4% KVCO variation over its tuning voltage range. The circuit exhibits a **frequency** tuning range of 870 MHz with a very linear KVCO of 484 MHz/V. The **oscillator** consumes 4 mW and the measured phase noise is -77.44 dBc/Hz at a 1 MHz offset from a 8.38 GHz center **frequency**. Dual-core and quad-core versions of the VCO are also tested. The output **frequency** of the dual-core VCO is from 6.72 GHz to 7.51 GHz with a tuning range of 790 MHz and a KVCO of 439 MHz/V. And, the output **frequency** of the quad-core VCO is from 6.53 GHz to 7.06 GHz with a tuning range of 530 MHz and a KVCO of 295 MHz/V. The second chip incorporates a highly-programmable **frequency** synthesizer whose core block is a third-order charge-pump PLL that uses the same VCO as the first chip. The PLL is enriched with digital circuitry solutions and a charge pump using a body-driven comparator. The programmability allows controlling the stability, loop bandwidth and output noise. The measurement results show that the PLL can synthesize **frequencies** from 7.2 GHz to 7.76 GHz. The whole system consumes 15.78 mW and the measured phase noise is -85.14 dBc/Hz at 1 MHz offset from 7.44 GHz center **frequency**. At the same **frequency**, the resulting minimum jitter is 5.65 ps. To the best of author's knowledge, these chips are the first FDSOI silicon demonstrations of a body-tuned high **frequency** ring **oscillator** with linear tuning characteristics and its integration into a PLL.

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