Linear phase filter bank design by convex programming
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Linear phase filter bank design by convex programming
Linear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming City University of Technology. VietnamA THESIS SUBMITTED IN FULFILMENT OF THE REQUIREMENTSFOR THE DEGREE OF Doctor OF PhilosophyThe University of New South WalesSchool of Electrical Engineering and Telecommunications Sydney, AustraliaAugust. 2008ORIGINALITY STATEMENT1 hereby declare that this submi Linear phase filter bank design by convex programming ssion is my own work and to the best of my knowledge it contains no materials previously published or written by another person, or suljstantial propoLinear phase filter bank design by convex programming
rtions of material which have been accepted for the award of any ot her degree or diploma at UNSW or any other educational instit ution, except where Linear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming itly acknowledged in the thesis. 1 also declare that the intellectual content of this thesis Is the product of my own work, except to the extent that assistance from others in the projects design and conception or in style, presentation and linguistic expression is acknowledged.Signed............... Linear phase filter bank design by convex programming ..................................Date...............Hoang Kha HaAbstractDIGTAL filter banks have found in a wide variety of applications in data compLinear phase filter bank design by convex programming
ression, digital communications, and adaptive signal processing. The common objectives of the filter bank design consist of frequency selectivity of tLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming nat ural formulations are nonconvex constrained optimization problems. Therefore, there is a strong motivation to cast the design problems into convex optimisation problems whose globally optimal solutions can be efirciently obtained.The main contributions of this dissertation are to exploit the con Linear phase filter bank design by convex programming vex optimization algorithms to design several classes of the filter banks. First, the two-channel orthogonal symmetric complex-valued filter banks areLinear phase filter bank design by convex programming
investigated. A key contribution is to derive the necessary and sufficient condition for the existence of complex- valued symmetric spectral factors.Linear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming for two-channel symmetric real-valued filter banks, a more general and efficient method for designing the optimal triplet halfband filter banks with regularity is developed. By exploiting the LM1 characterization of nonnegative cosine polynomials, the semi-infinite constraints can be efficiently han Linear phase filter bank design by convex programming dled. Consequently, the filter bank design is cast as ail SDP problem. Furthermore, it is demonst.rated that the resulting filter banks are applied toLinear phase filter bank design by convex programming
image cocling with improved performance*.It is not straightforward to extend the proposed design methods for two-channel filter banks to Af-channel fLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming roblem with the low degree of nonconvexity. Therefore, the efficient semidefinite relaxation technique is proposed to design optimal prototype filters. Additionally, a cheap iterative algorithm is developed to further improve the performance of the filter banks.Finally, the application of filter ban Linear phase filter bank design by convex programming ks to multicarrier systems is considered. The condition on the transmit filter bank and channel for the existence of zeroforcing filter bank equalizerLinear phase filter bank design by convex programming
s is obtained. A closed-form expression of the optimal equalizer is then derived. The proposed filter bank transceivers arc shown to outperform the orLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming ociate Professor Tuan D. Hoang, whose his constant guidance, support and encouragement have made the completion of this dissertation possible. He has introduced me to the attractable field of filter banks and has shared his expertise* hl the field of global optimization. I am also grateful to Profes Linear phase filter bank design by convex programming sor lYuong Q. Nguyen of the University of California, San Diego. U.S.A, for numerous intellectual discussion on filter banks ami wavelets. Next, 1 wouLinear phase filter bank design by convex programming
ld like to thank Associate Professor Ba-Ngu Vo of the University of Melbourne, Australia, with whom 1 had several rewarding collaborations.I wish to tLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming nd for providing valuable comments and suggestions on my work. 1 would like also to thank my lal>mates at the School of Electrical Engineering and Telecommunications for their support, discussion and friendship.1 gratefully acknowledge the financial supports from the Ministry of Education and lYaini Linear phase filter bank design by convex programming ng. Vietnam, through MOET scholarship, the University of New South Wales through Top-Up scholarship, and the Australian Research Council through the dLinear phase filter bank design by convex programming
iscovery research grants for Associate Professor 1'uan D. Hoang.Finally, I would like to thank my parents for their constant love and support, and forLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi Minh Linear phase filter bank design by convex programming ghout my Ph.D. program is a great source of inspiration for completing this dissertation.ivTo my parents and wifeVLinear Phase Filter Bank Design BY Convex ProgrammingByHoang Kha HaB.E. (Hons) and M.E. in Electrical Engineering and Telecommunications, Ho Chi MinhGọi ngay
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