The object of this paper is to derive Landau's theory of quantized hydrodynamics from the many-particle Schroedinger equation. Landau's results are obtained, together with an additional term in the Hamiltonian.

In the world of networked system, average consensus is an important dimension of co-ordinate control and cooperation. Since the communication medium is digital, real value cannot be transmitted and we need to perform quantization before data transmission. But for the quantization, error is introduced in exact value and initial average is lost. Based on this limitation, my 16 bit quantization method (sending MSB in 1-4 cycle and MSB+LSB in 5th cycle) reduces error significantly and preserves initial average. Besides, it works on all types of graphs (star, complete, ring, random geometric graph). My other algorithm, distributing averaging algorithm (PQDA) with probabilistic quantization also works on random geometric graph, star, ring and slow co-herency graph. It shows significant reduced error and attain strict consensus.

This thesis will examine the interactions of a cloud of charged vortex rings (CVRs) in the low temperature limit in helium-II (0.2 < T < 0.8 K) in a cubic cell containing a quasi-uniform electric field. A model of geometric collisions between vortex rings is proposed to explain the observed critical density of CVRs given by nR^3 ~ 3 cm^{-1} R where n is the CVR number density and R is the average CVR radius. This model was simulated in a simplified situation where two perfectly circular parent CVRs collide geometrically to create two perfectly circular daughter CVRs, conserving momentum and charge and dissipating a random amount of energy. The simulations are in qualitative and quantitative agreement with experiment.For an intense injection of CVRs into a strong electric field the CVRs quickly reconnect with one another to form a tangle of charged vortex loops. These loops move as one quasi-connected unit, it was found that the charged tangle's response to forcing was given by a law of the form t3 ~ (QE)^{-1/3} where t3 is the charged tangle time of flight, Q is the charge of the tangle and E is the applied electric field. Simulations of the displacement current induced in two electrodes in the cell were run in order to glean some information as to the transverse distribution of charge in the tangle, which was found to be approximately constant with time of flight and injected charge.

No description available.

This thesis focuses on the design and implementation of a three-level Class D audio amplifier by applying recently developed sliding-mode quantized control. The designed controller, which consists of the analog filters and logic circuit, switches an H-bridge Class-D amplifier with a lowpass LC filter and operates it in the sliding mode, in order to achieve desired stability and high fidelity in the audio band. The experimental result shows that the lowest THD+N (total harmonic distortion plus noise) can be as low as 0.02% at 1 kHz. The performance is better than most of the available commercial products.

A quantized control means that the control force is restricted to takes only a finite number of prescribed levels. The well-known bang-bang control or relay control belongs to this category. This kind of control has the advantage of simple circuit realization using electronic switches or relays that feature low power consumption in their on-off operation. However, quantized control introduces noise and distortion, and even worse its high nonlinearity makes the stabilizing compensator design difficult. This thesis applies the concept of dynamic sliding mode to the synthesis of a multi-level quantized control, with the aim to stabilize the system, perform reference tracking and attenuate the switching noise. The applicability of the presented sliding-mode quantized control is demonstrated on a three-level buck converter. Compared with the conventional PWM (Pulse-Width Modulation) scheme, it eliminates the use of a complex three-level PWM generator and a current sensor. A 12V/8V three-level buck converter with sliding mode quantized control is designed and realized, which shows the output voltage with 0.4625% of average DC error, 2.8988% of the static output ripple and 2.3% of load regulation error in response to the load current steps from 0A/3A to 3A/0A, at a slew rate of 6.25A/£gsec.

ITC/USA 2012 Conference Proceedings / The Forty-Eighth Annual International Telemetering Conference and Technical Exhibition / October 22-25, 2012 / Town and Country Resort & Convention Center, San Diego, California / In this paper, a novel zigzag scanning concept of quantized coefficients for H.264/AVC is introduced. In order to scan the quantized coefficients efficiently, the statistical occurrence values of the quantized coefficients after the final mode decision are utilized. We develop a zigzag scanning pattern by reordering the statistical occurrence values in descending order. In addition, we consider the temporal and spatial correlation among the frames to classify the zigzag scanning pattern. In particular, we focus on the macroblock level zigzag scanning so that the proposed method will have the different zigzag scanning pattern based on the macroblock. Experimental results show that the proposed scheme reduces the total bits up to 4.05% and 3.67% while introducing either negligible loss of video quality for intra- and inter mode, respectively.

<p> A new radar tracking detector using fixed delay lines in place of continuously variable delay lines is described. The fixed delays are switched in and out depending on the output of a correlator. Results of a working system are shown using bang-bang feedback and analog-to-digital feedback, for tracking a time-varying delay. </p> / Thesis / Master of Engineering (MEngr)

Radio spectrum has become a scarce and priced resource due to the rapid growth of wireless networks. However, recent surveys conducted by the FCC indicate that a large part of the allotted frequency spectrum lies unused. Cognitive radio systems, built on the software defined radios, allow the efficient usage of these unused frequency spectrum. Cognitive radio systems can be modeled as a multiple access channel in which certain users have the priority (primary users) while others (cognitive or secondary users) are allowed to access the channels without causing any interference to the primary users. However a secondary user’s transmissions not only encounter high levels of uncertainty and variability in the number of channels available to them, but they also suffer data losses if a primary user activity occurs. Under such rigid constraints, the reliable transmission of real time multimedia of a secondary user with an acceptable quality of service becomes challenging. Multimedia transmission in a cognitive system requires channel adaptive source and channel coding schemes. In order to address this problem, this thesis investigates and develops a novel joint source-channel coding (JSCC) approach. The proposed JSCC allows the dynamic generation of codes, which minimizes the end-to-end distortion. This JSCC is based on quantized frame expansions to introduce redundancy into transmitted data. An algorithm has been developed to determine the optimal trade-off between redundancy and quantization rate, under a constraint on channel capacity. The proposed approach does not require the communication of any overhead data between the transmitter and receiver. When compared to codes commonly used to deal with packet losses, simulation results indicate that the proposed JSCC can achieve lower distortion for secondary user’s transmissions in cognitive radio systems.

Ces travaux de recherche s’inscrivent dans le cadre de la conception de récepteurs multistandard optimisés pouvant traiter des signaux à spécifications hétérogènes. L’idée est d’appliquer l’échantillonnage aléatoire au niveau de l’étage en bande de base d’un récepteur radio logicielle restreinte afin de tirer profit de son pouvoir d’anti-repliement. La nouveauté dans ces travaux est l’étude analytique de la réduction du repliement spectral par l’échantillonnage aléatoire à temps quantifié, candidat favorable à l’implémentation matérielle. Une deuxième contribution concerne aussi l’étude analytique de l’échantillonnage pseudo-aléatoire à temps quantifié (TQ-PRS) dont l’importance réside en sa grande facilité d’implémentation matérielle. Les formulations théoriques ont permis d’estimer l’atténuation des répliques en fonction du facteur de la quantification temporelle et du facteur du sur-échantillonnage. Les mesures de l’atténuation du repliement spectral ont permis de dimensionner l’étage en bande de base d’une architecture de réception multistandard. Le dimensionnement s’intéresse à différentes configurations de l’étage en bande de base régies par les performances du convertisseur analogique numérique (ADC) utilisé.Les travaux de recherche ont démontré que l’application du TQ-PRS au niveau de l’ADC mène soit à une réduction de l’ordre du filtre anti-repliement soit à une réduction de la fréquence d’échantillonnage. Un bilan global de la consommation de puissance a permis un gain de 30% de la consommation de l’étage en bande de base analogique. En tenant compte du générateur de l’horloge TQ-PRS et de l’étage de sélection numérique du canal, ce gain devient 25%. / The work presented in this Ph.D. dissertation deals with the design of multistandard radio receivers that process signals with heterogeneous specifications. The originality of these research activities comes from the application of random sampling at the baseband stage of a software defined radio receiver. The purpose behind the choice of random sampling is to take advantage of its alias-free feature. The originality of this work is the analytic proof of the alias attenuation feature of the time quantized random sampling, the implementation version of the random sampling. A second contribution concerns also the analytic study of the simplest implementation version of the random sampling, the time quantized pseudo-random sampling (TQ-PRS). Theoretical formulas allow the estimation of the alias attenuation in terms of time quantization factor and oversampling ratio. Alias attenuation measurement permits to design the baseband stage of the proposed multistandard radio receiver architecture. The design concerns different configuration of the baseband stage according to the performances of the used analog-to-digital converters (ADC). The TQPRS allows decreasing the anti-aliasing filter order or the sampling frequency. The design of the baseband stage reveals a difference on the choice of the time quantization factor for each standard. The power consumption budget analysis demonstrates a power consumption gain of 30% regarding the power consumption of the analog baseband stage. This gain becomes 27.5% when the TQ-PRS clock and the digital canal selection stages are considered.