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This thesis is concerned with the analysis and design of FIR multirate filter banks. Focusing on the time-frequency relation of the filter bank structures, various design methods have been developed. Standard digital filtering techniques are used such as windowing, and least squares in conjunction with the multirate structures of the filter banks to obtain efficient designs that will allow a great degree of flexibility in controlling the frequency characteristics of the filters. A spectral factorisation technique is introduced to design three-channel based systems in the z-domain. This method extends the well known two-channel based design, and requires no numerical optimization. Time-domain algorithms are introduced to design M-channel systems with arbitrary length filters and arbitrary system delays. Aliasing cancellation and perfect reconstruction conditions in the time domain are addressed. A recursive technique is proposed which uses the synthesis filters from one iteration to update the analysis filters for the next. Wavelets provide a new method for time-scale analysis of non-stationary signals. Filter banks are used to construct several classes of wavelet transforms; orthonormal, bi-orthogonal, and new low delay wavelets using the time-domain formulation.
Provides a treatment of the fundamentals as well as advancements in the field of multirate signal processing. This text describes both theoretical developments and design tools. It will be useful for graduate courses in multitrate signal processing.
Provides a thorough and accessible introduction to the fast-growing area of multirate digital signal processing covering both the fundamental theory and the practical applications. The key characteristic of multirate algorithms is their high computational efficiency, and hence their increasing implementation in a range of applications from digital audio broadcasting to multi-carrier data transmission and subband speech coding. This book gives a comprehensive analysis of the subject and features include: * A summary of the key properties of those filters which employ multirate techniques including cascaded multirate filters, multirate complementary filters, and interpolated FIR filters * An assessment of the properties of various digital filter banks, such as quadratur mirror, parunitary, biorthogonal, modulated, polyphase, and multicomplementary filter banks * Design methodologies for multirate filters and filter banks * An examination of the discrete wavelet transform using filter banks, the construction of wavelets and examples of wavelet systems * A complete overview of current applications and a look ahead towards the future developments in the field This book will be invaluable for advanced students in electronics and computer science. It will also be useful for practising electronics and communications engineers and physicists working in industry.
"This book covers basic and the advanced approaches in the design and implementation of multirate filtering"--Provided by publisher.
Digital signal processing is an area of science and engineering that has been developed rapidly over the past years. This rapid development is the result of the significant advances in digital computer technology and integrated circuits fabrication. Many of the signal processing tasks conventionally performed by analog means are realized today by less expensive and often more reliable digital hardware. Multirate Systems: Design and Applications addresses the rapid development of multirate digital signal processing and how it is complemented by the emergence of new applications.
This book offers readers a single-source reference to the implementation aspects of multirate systems, advances in design of comb decimation filters and multirate filter banks. The authors describe a variety of the most recent applications in fields such as, image and video processing, digital communications, software and cognitive radio.