Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2004. / Includes bibliographical references (leaves 141-153). Also available in electronic version. Access restricted to campus users.

Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2002. / Includes bibliographical references. Also available in electronic version. Access restricted to campus users.

Thesis (Ph. D.)--University of Texas at Austin, 1998. / Vita. Includes bibliographical references (leaves 95-102). Available also in a digital version from Dissertation Abstracts.

Thesis (Ph. D.)--University of Florida, 2005. / Title from title page of source document. Document formatted into pages; contains 125 pages. Includes vita. Includes bibliographical references.

Thesis (M. S.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009. / Committee Chair: Smith, Mark J. T.; Committee Co-Chair: Mersereau, Russell M.; Committee Member: Anderson, David; Committee Member: Lanterman, Aaron; Committee Member: Rosen, Gail; Committee Member: Wardi, Yorai.

Thesis (M.S.)--Oregon State University, 2006. / Printout. Includes bibliographical references (leaves 104-107). Also available on the World Wide Web.

Thesis (M.S. in E.E.)--Naval Postgraduate School, 1969. / Thesis advisor: James S. Demetry. Bibliography: p. 90-94. Also available in print.

Este trabalho apresenta uma abordagem paralela em FPGA para implementação de controladores digitais, com a finalidade de reduzir o tempo computacional de execução das leis de controle. A técnica de controle utilizada na implementação proposta pode ser aplicada para a compensação seletiva de harmônicos em filtros ativos de potência (FAP). Para compensar mesmo um número reduzido de harmônicas são necessárias múltiplas instruções de cálculo, envolvendo multiplicações e adições. Desta forma, para melhorar o desempenho computacional do sistema, é proposta uma estrutura paralela para implementação do controlador. Para compensação de um número maior de harmônicas é realizada a decomposição das tensões em suas componentes harmônicas em eixos síncronos utilizando a Transformada Discreta de Fourier. Esta estratégia permite um tempo de cálculo fixo independente do número de harmônicas, até o limite imposto pela frequência de amostragem. Os resultados experimentais são apresentados para comparar o tempo de execução da abordagem paralela proposta com o tempo de execução sequencial convencionalmente utilizado na literatura. / This paper presents a parallel approach to FPGA implementation of digital controllers, in order to reduce the computational time for implementing the control laws. The control technique used in the proposed implementation can be applied for selective harmonic compensation in active power filters (APF). To compensate for even a small number of harmonics requires multiple calculation instructions involving multiplications and additions. Thus, to improve the performance of the computer system is proposed to implement a parallel structure of the controller. To compensate for a larger number of harmonics is performed in the decomposition voltages of the harmonic components into their frames synchronous using the Discrete Fourier Transform. This strategy allows a calculation time fixed regardless of the number of harmonics up to the limit imposed by the sampling frequency. The experimental results are presented to compare the runtime of the proposed parallel approach with the sequential execution time conventionally used in the literature.

This thesis presents a study on the design of two-dimensional (2-D) digital filters by using the singular-value decomposition (SVD). A new method for the design of 2-D quadrantally symmetric FIR filters with linear phase response is proposed. It is shown that three realizations are possible, namely, a direct realization, a modified version of the direct realization, and a realization based on the combined application of the SV and LU decompositions. Each of the three realizations consists of a parallel arrangement of cascaded pairs of 1-D filters; hence extensive parallel processing and pipelining can be applied. The three realizations are compared and it is shown that the realization based on the SV and LU decomposition leads to the lowest approximation error and involves the smallest number of multiplications. It is shown that the SVD of the sampled amplitude response of a 2-D digital filter with real coefficients possesses a special structure: every singular vector is either mirror-image symmetric or antisymmetric with respect to its midpoint. Consequently, the SVD method can be applied along with 1-D FIR techniques for the design of linear-phase 2-D filters with arbitrary prescribed amplitude responses which are symmetrical with respect to the origin of the (ω1, ω2) plane. A method for the design of 2-D IIR digital filters based on the combined application of the SVD and the balanced approximation (BA) is proposed. It is shown that the approximation error in the phase angle is bounded by the sum of the neglected Hankel singular values of the filter. Consequently, the phase response of the resulting filter is approximately linear over the passband region provided that only small Hankel singular values are neglected. It is also shown that the resulting 2-D filter is nearly balanced, which implies that the filter has low roundoff noise as well as low parameter sensitivity. Furthermore, the 2-D filter obtained is more economical and computationally more efficient than the original 2-D FIR filter, and in the case where an IIR filter is obtained the stability of the filter is guaranteed. Efficient general algorithms for the evaluation of the 1-D and 2-D gramians for 1-D and 2-D, causal, stable, recursive digital filters are proposed, which facilitate the application of the BA method in the design of digital filters. The algorithms obtained are based on a two-stage extension of the Astrom-Jury-Agniel (AJA) algorithm. It is shown that the AJA algorithm can be modified to solve a 1-D Lyapunov equation in a recursive manner. The recursive algorithm is then extended to the case where the rational function vector involved depends on two complex variables. It is shown that the two algorithms obtained can be combined to evaluate the 2-D gramians. The proposed algorithms are also useful in obtaining optimal digital filter structures that minimize the output-noise power due to the roundoff of products. / Graduate

M.Ing. / Object tracking in image sequences, in its general form, is very challenging. Due to the prohibitive complexity thereof, research has lead to the idea of tracking a template exposed to low-dimensional deformation such as translation, rotation and scaling. The inherent non-Gaussianity of the data acquired from general tracking problems renders the trusted Kalman filtering methodology futile. For this reason the idea of particle filtering was developed recently. Particle filters are sequential Monte Carlo methods based on multiple point mass (or "particle") representations of probability densities, which can be applied to any dynamical model and which generalize the traditional Kalman filtering methods. To date particle filtering has already been proved to be successful filtering method in different fields of science such as econometrics, signal processing, fluid mechanics, agriculture and aviation. In this dissertation, we discuss the problem of tracking a rugby ball in an image sequence as the ball is being passed to and fro. First, the problem of non-linear Bayesian tracking is focused upon, followed by a particular instance of particle filtering known as the condensation algorithm. Next, the problem of fitting an elliptical contour to the travelling rugby ball is dealt with in detail, after which the problem of tracking this evolving ellipse (representing the rugby ball's edge) over time along the image sequence by means of the condensation algorithm follows. Experimental results are presented and discussed and concluding remarks follow at the end.