The limiter is a commonly used device in communication receiving systems to remove the amplitude variations of the received signal, but it is usually observed that limiter degrades the envelope detection performance of a single tone. In this thesis, it is demonstrated that the limiter-generated third harmonic can be used to improve the envelope detection performance of a single tone over that of the linearly processed fundamental. Differences in the probability distributions of the limiter-generated harmonics cause differences in their detection probabilities, which lead to differences in the performance of subsequent envelope detection. Comparison of the envelope detection performance of the limiter-generated third harmonic and the input to the limiter shows a maximum detection probability gain of 1.12 and also error probability gain of 2.4 in linear scale, whereas the fundamental harmonic does not show any practically significant gain. The envelope detection performance of the vector sum of the limiter-generated fundamental and third harmonics is also evaluated. This combination provides better performance than do the individual harmonics, especially for a large clipping parameter of the limiter. The combined harmonics shows a maximum detetction probability gain of 1.15 and error probability gain of 14, over that of the envelope detection performance of a tone without limiter. It is also observed that the envelope detection performance of a tone with limiter-generated higher harmonics shows non-monotonic behaviour as functions of either noise or the limiter-clipping parameter, which is a signature of stochastic resonance. The theoretical results from earlier research on the envelope detection of a single tone embedded in additive white Gaussian noise, both with and without a limiter, are presented and shown to match our simulation results. In previous work when a limiter was used in the envelope detection of a single tone, only the envelope of the fundamental harmonic was considered under very specific conditions. By contrast we also take notice of the limiter-generated higher harmonics and obtain improved envelope detection performance in the detection of a single tone.

Signal generation at high frequency has become increasingly important in numerous wireline and wireless applications. In many gigahertz and millimeter-wave frequency ranges, conventional frequency generation techniques have encountered several design challenges in terms of frequency tuning range, phase noise, and power consumption. Recently, injection locking has been a popular technique to solve these design challenges for frequency generation. However, the narrow locking range of the injection locking techniques limits their use. Furthermore, they suffer from significant reference spur issues. This dissertation presents novel frequency generation techniques based on envelope detection for low-phase-noise signal generation using injection-locked frequency multipliers (ILFMs). Several calibration techniques using envelope detection are introduced to solve conventional problems in injection locking. The proposed topologies are demonstrated with 0.13um CMOS technology for the following injection-locked frequency generators. First, a mixed-mode injection-frequency locked loop (IFLL) is presented for calibrating locking range and phase noise of an injection-locked oscillator (ILO). The IFLL autonomously tracks the injection frequency by processing the AM modulated envelope signal bearing a frequency difference between injection frequency and ILO free-running frequency in digital feedback. Second, a quadrature injection-locked frequency tripler using third-harmonic phase shifters is proposed. Two capacitively-degenerated differential pairs are utilized for quadrature injection signals, thereby increasing injection-locking range and reducing phase error. Next, an injection-locked clock multiplier using an envelope-based frequency tracking loop is presented for a low phase noise signal and low reference spur. In the proposed technique, an envelope detector constantly monitors the VCO's output waveform distortion caused by frequency difference between the VCO frequency and reference frequency. Therefore, the proposed techniques can compensate for frequency variation of the VCO due to PVT variations. Finally, this dissertation presents a subharmonically injection-locked PLL (SILPLL), which is cascaded with a quadrature ILO. The proposed SILPLL adopts an envelope-detection based injection-timing calibration for synchronous reference pulse injection into a VCO. With one of the largest frequency division ratios (N=80) reported so far, the SILPLL can achieve low RMS jitter and reference spur. / Ph. D. / Signal generation at high frequency has become increasingly important in numerous wireline and wireless applications. In many gigahertz and millimeter-wave frequency ranges, conventional frequency generation techniques have encountered several design challenges in terms of frequency tuning range, phase noise, and power consumption. Recently, injection locking which synchronizes a signal frequency has been a popular technique to solve these design challenges for frequency generation. However, narrow operation ranges of the injection locking techniques limit their use. Furthermore, they suffer from significant noise degradation. This dissertation presents studies of frequency generation techniques based on envelope detection (amplitude modulation) for low-phase-noise signal generation using injection-locked frequency multipliers. Several calibration techniques using envelope detection are introduced to solve conventional problems in injection locking. First, a mixed-mode injection-frequency locked loop is presented for calibrating locking range and phase noise of an injection-locked oscillator. Second, a quadrature injection-locked frequency tripler using third-harmonic phase shifters is proposed to increase injection-locking range and reduce phase error. Third, an injection-locked frequency multiplier using an envelope-based frequency tracking loop is presented for a low phase noise signal and low noise degradation. Finally, this dissertation presents a subharmonically injection-locked PLL with a novel injection-timing calibration circuit, which is connected to a quadrature frequency multiplier. The proposed designs are demonstrated with 0.13µm CMOS technology.

Metal halide lamp is one kind of the most compact high-performance light sources. Because of their good color rendering index and high luminous efficacy, these lamps are often preferred in locations where color and efficacy are important, such as supermarkets, gymnasiums, ice rinks and sporting arenas. Unfortunately, acoustic resonance phenomenon occurs in metal halide lamps and causes light flicker, lamp arc bending and rotation, lamp extinction and in the worst case, arc tube explosion, when the lamps are operated in high-frequency bands. This thesis takes place in the context of developing electronic ballasts with robust acoustic resonance detection and avoidance mechanisms. To this end, several envelope detection methods such as the multiplier circuit, rectifier circuit, and lock-in amplifier, are proposed to characterize fluctuations of acoustic resonance. Furthermore, statistical criteria based on the standard deviation of these fluctuations are proposed to assess acoustic resonance occurrence and classify its severity. The proposed criteria enable classifying between no acoustic resonance and acoustic resonance cases based upon either a two-dimensional plane, a histogram or a boxplot. These analyses are confirmed by the study of spectral variations (variations of the spectral irradiance and colorimetric parameters) as well. Standard deviations and relative standard deviations of these variations are also correlated with the presence of acoustic resonance. The results from this study show that whatever voltage envelope variations or spectral variations are significantly influenced by acoustic resonance phenomena. A set of metal halide lamps from different manufacturers and with different powers are tested in our experiments. We concluded that our designed multiplier and rectifier circuits for acoustic resonance detection have the same sensitivity as the lock-in amplifier, paving the way for the implementation of this function directly into the ballast circuit board.

Near-field wireless power transfer (WPT) technology facilitates the energy autonomy of heterogeneous systems, significantly augmenting complementary metal-oxide-semiconductor field-effect-transistor (CMOS) technology. In low-power wearable devices, existing power conditioning integrated circuits do not maximize the power factor (PF) for rectification and power conversion efficiency (PCE) due to multiple conversion. Additionally, there is no core power management for the entire power flow. The majority of the research focuses on active rectifiers, which reduce the turn-on voltage for rectification. Certain studies target the output voltage regulation via feedback to the transmitter or direct battery charging without power maximization. Firstly, this study investigates a high-power factor WPT front-end circuit that is namely the mono-periodic switching rectifier (MPSR) and implemented in a 0.18µm 1.8V/5V CMOS process. Integrated phase synchronizers are used to align the waveshape of a wirelessly-coupled sinusoidal voltage source in a receiving coil to the corresponding conducting current. Using this approach, the PF can be increased from roughly 0.6 to unity without requiring any wireless or wired feedback to the transmitter. The proposed MPSR can also provide AC-DC rectification, and step up and down the sinusoidal voltage source's peak amplitude using a pulse-width modulator. Measured voltage conversion ratios range between 0.73X and 2X, and the PF can be boosted up to unity. Secondly, the wireless power system-on-chip (WPower-SoC) is proposed and implemented in a 0.18µm 1.8V/3.3V CMOS process. The WPower-SoC integrating power management can provide rectification, output voltage regulation, and battery charging. Additionally, the implementation of feedforward envelope detection (FED) can reduce the variation in a wireless power link and improve load transient responses. Simulated results demonstrate that 5% of the output voltage regulation is improved when an output load changes. Moreover, the FED reduces approximately 40% of the transient response time. Overshoot and undershoot voltages are decreased by 23% and 26.5%, respectively. The measured output voltage regulates at 3.42V and can supply output power up to 342mW. A temperature sensor as part of the power management core remains active when the WPT receivers enter sleep mode to prolong the battery usage time. In the final part of this study, a nano-watt high-accuracy temperature sensing core is implemented in a 0.18µm 1.8V/3.3V CMOS process that can self-compensate the temperature shift without the need for additional compensating techniques that consume extra power.

We report a new method for the reduction of noise from spectra. This method is based on casting vectors from one data point to the following data points of the noisy spectrum. The noise‐reduced spectrum is computed from the casted vectors within a margin that is identified by an envelope‐finder algorithm. We compared here the presented method with the Savitzky–Golay and the wavelet transform approaches for noise reduction using simulated Raman spectra of various signal‐to‐noise ratios between 1 and 25 dB and experimentally acquired Raman spectra. The method presented here performs well compared with the Savitzky–Golay and the wavelets‐based denoising method, especially at small signal‐to‐noise ratios and furthermore relies on a minimum of human input requirements.

La lampe à iodure métallique est une des sources lumineuses de haute performance les plus compactes qui soit. En raison de leur bon indice de rendu des couleurs et de leur haute efficacité lumineuse, ces lampes sont souvent préférées dans les endroits où la couleur et l'efficacité sont importantes, comme les supermarchés, les gymnases, les patinoires et les arènes sportives. L’inconvénient majeur de ce type de lampe à iodure métallique vient d’un phénomène appelé « résonance acoustique ». Lorsqu’il se produit, la lumière scintille, l’arc au centre de la lampe se met à fléchir et à tourner. Cela peut aller jusqu’à l'extinction de la lampe et, dans le pire des cas, à l’explosion du tube lorsque les lampes fonctionnent dans certaines bandes de fréquence. Cette thèse se situe dans le contexte du développement de ballasts électroniques incorporant des mécanismes robustes de détection et d'évitement de résonance acoustique. À cette fin, plusieurs méthodes de détection d'enveloppe telles que le circuit multiplicateur, le circuit redresseur et l'amplificateur à verrouillage de phase sont proposées pour caractériser les fluctuations de la résonance acoustique et mieux les détecter. Des critères statistiques basés sur l'écart-type de ces fluctuations ont été établis pour détecter la présence de résonances acoustiques et les classer suivant leur gravité. Les critères proposés permettent de différencier les cas sans résonance acoustique et avec présence de résonance acoustique dans un plan bidimensionnel ou en utilisant des intervalles de confiance. Cette analyse temporelle est confirmée par l’étude des variations du spectre optique et des paramètres colorimétriques. Leurs écarts-types relatifs sont également corrélés à la présence de résonances acoustiques. Les résultats de cette étude montrent que les variations de l'enveloppe de tension ou les variations du spectre et des paramètres colorimétriques sont fortement influencées par les phénomènes de résonance acoustique Un ensemble de lampes à iodure métallique de différents fabricants et avec des puissances différentes a été testé dans nos expériences. Nous avons conclu que les circuits à multiplicateurs et a redressement permettent de détecter les résonances acoustiques avec le même niveau de sensibilité que le système à verrouillage de phase, ouvrant la voie à l’implantation de cette fonction directement au niveau du circuit du ballast. / Metal halide lamp is one kind of the most compact high-performance light sources. Because of their good color rendering index and high luminous efficacy, these lamps are often preferred in locations where color and efficacy are important, such as supermarkets, gymnasiums, ice rinks and sporting arenas. Unfortunately, acoustic resonance phenomenon occurs in metal halide lamps and causes light flicker, lamp arc bending and rotation, lamp extinction and in the worst case, arc tube explosion, when the lamps are operated in high-frequency bands. This thesis takes place in the context of developing electronic ballasts with robust acoustic resonance detection and avoidance mechanisms. To this end, several envelope detection methods such as the multiplier circuit, rectifier circuit, and lock-in amplifier, are proposed to characterize fluctuations of acoustic resonance. Furthermore, statistical criteria based on the standard deviation of these fluctuations are proposed to assess acoustic resonance occurrence and classify its severity. The proposed criteria enable classifying between no acoustic resonance and acoustic resonance cases based upon either a two-dimensional plane, a histogram or a boxplot. These analyses are confirmed by the study of spectral variations (variations of the spectral irradiance and colorimetric parameters) as well. Standard deviations and relative standard deviations of these variations are also correlated with the presence of acoustic resonance. The results from this study show that whatever voltage envelope variations or spectral variations are significantly influenced by acoustic resonance phenomena. A set of metal halide lamps from different manufacturers and with different powers are tested in our experiments. We concluded that our designed multiplier and rectifier circuits for acoustic resonance detection have the same sensitivity as the lock-in amplifier, paving the way for the implementation of this function directly into the ballast circuit board.

Les signaux analytiques multidimensionnels nous permettent d'avoir des possibilités de calculer les phases et modules. Cependant, peu de travaux se trouvent sur les signaux analytiques multidimensionnels qui effectuent une extensibilité appropriée pour les applications à la fois sur du traitement des données médicales 2D et 3D. Cette thèse a pour objectif de proposer des nouvelles méthodes pour le traitement des images médicales 2D/3D pour les applications de détection d'enveloppe et d'estimation du mouvement. Premièrement, une représentation générale du signal quaternionique 2D est proposée dans le cadre de l'algèbre de Clifford et cette idée est étendue pour modéliser un signal analytique hypercomplexe 3D. La méthode proposée décrit que le signal analytique complexe 2D, est égal aux combinaisons du signal original et de ses transformées de Hilbert partielles et totale. Cette écriture est étendue au cas du signal analytique hypercomplexe 3D. Le résultat obtenu est que le signal analytique hypercomplexe de Clifford peut être calculé par la transformée de Fourier complexe classique. Basé sur ce signal analytique de Clifford 3D, une application de détection d'enveloppe en imagerie ultrasonore 3D est présentée. Les résultats montrent une amélioration du contraste de 7% par rapport aux méthodes de détection d'enveloppe 1D et 2D. Deuxièmement, cette thèse propose une approche basée sur deux phases spatiales du signal analytique 2D appliqué aux séquences cardiaques. En combinant l'information de ces phases des signaux analytiques de deux images successives, nous proposons un estimateur analytique pour les déplacements locaux 2D. Pour améliorer la précision de l'estimation du mouvement, un modèle bilinéaire local de déformation est utilisé dans un algorithme itératif. Cette méthode basée sur la phase permet au déplacement d'être estimé avec une précision inférieure au pixel et est robuste à la variation d'intensité des images dans le temps. Les résultats de sept séquences simulées d'imagerie par résonance magnétique (IRM) marquées montrent que notre méthode est plus précise comparée à des méthodes récentes utilisant la phase du signal monogène ou des méthodes classiques basées sur l'équation du flot optique. Les erreurs d'estimation de mouvement de la méthode proposée sont réduites d'environ 33% par rapport aux méthodes testées. En outre, les déplacements entre deux images sont cumulés en temps, pour obtenir la trajectoire d'un point du myocarde. En effet, des trajectoires ont été calculées sur deux patients présentant des infarctus. Les amplitudes des trajectoires des points du myocarde appartenant aux régions pathologiques sont clairement réduites par rapport à celles des régions normales. Les trajectoires des points du myocarde, estimées par notre approche basée sur la phase de signal analytique, sont donc un bon indicateur de la dynamique cardiaque locale. D'ailleurs, elles s'avèrent cohérentes à la déformation estimée du myocarde. / Different mathematical tools, such as multidimensional analytic signals, provide possibilities to calculate multidimensional phases and modules. However, little work can be found on multidimensional analytic signals that perform appropriate extensibility for the applications on both of the 2D and 3D medical data processing. In this thesis, based on the Hahn 1D complex analytic, we aim to proposed a multidimensional extension approach from the 2D to a new 3D hypercomplex analytic signal in the framework of Clifford algebra. With the complex/hypercomplex analytic signals, we propose new 2D/3D medical image processing methods for the application of ultrasound envelope detection and cardiac motion estimation. Firstly, a general representation of 2D quaternion signal is proposed in the framework of Clifford algebra and this idea is extended to generate 3D hypercomplex analytic signal. The proposed method describes that the complex/hypercomplex 2D analytic signals, together with 3D hypercomplex analytic signal, are equal to different combinations of the original signal and its partial and total Hilbert transforms, which means that the hypercomplex Clifford analytic signal can be calculated by the classical Fourier transform. Based on the proposed 3D Clifford analytic signal, an application of 3D ultrasound envelope detection is presented. The results show a contrast optimization of about 7% comparing with 1D and 2D envelope detection methods. Secondly, this thesis proposes an approach based on two spatial phases of the 2D analytic signal applied to cardiac sequences. By combining the information of these phases issued from analytic signals of two successive frames, we propose an analytical estimator for 2D local displacements. To improve the accuracy of the motion estimation, a local bilinear deformation model is used within an iterative estimation scheme. This phase-based method allows the displacement to be estimated with subpixel accuracy and is robust to image intensity variation in time. Results from seven realistic simulated tagged magnetic resonance imaging (MRI) sequences show that our method is more accurate compared with the state-of-the-art method. The motion estimation errors (end point error) of the proposed method are reduced by about 33% compared with that of the tested methods. In addition, the frame-to-frame displacements are further accumulated in time, to allow for the calculation of myocardial point trajectories. Indeed, from the estimated trajectories in time on two patients with infarcts, the shape of the trajectories of myocardial points belonging to pathological regions are clearly reduced in magnitude compared with the ones from normal regions. Myocardial point trajectories, estimated from our phase-based analytic signal approach, are therefore a good indicator of the local cardiac dynamics. Moreover, they are shown to be coherent with the estimated deformation of the myocardium.