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This book covers various algorithmic developments in the perfect reconstruction cosine/sine-modulated filter banks (TDAC-MDCT/MDST or MLT, MCLT, low delay MDCT, complex exponential/cosine/sine-modulated QMF filter banks), and near-perfect reconstruction QMF banks (pseudo-QMF banks) in detail, including their general mathematical properties, matrix representations, fast algorithms and various methods to integer approximations being recently a new transform technology for lossless audio coding. Each chapter will contain a number of examples and will conclude with problems and exercises. The book reflects the research efforts/activities and achieved results of the authors in the time period over the last 20 years.
Multidimensional Filter Banks and Wavelets: Basic Theory and Cosine Modulated Filter Banks brings together in one place important contributions and up-to-date reserach results in this important area. Multidimensional Filter Banks and Wavelets: Basic Theory and Cosine Modulated Filter Banks serves as an excellent reference, providing insight into some of the most important research issues in the field.
New design techniques of digital filter banks are presented in this thesis. The research has been focused on systematic design methods for computationally efficient filter banks with arbitrary center frequencies, which could be easily implemented and are useful in acoustic, speech signal processing, and communication systems. Frequency interpolation filter banks (FIFB) are first derived based on an adaptive filtering structure. FIFB banks show good frequency responses, interesting sensitivities and negligible parameter quantization effects and roundoff noise when they are implemented using modern DSP processors with fixed-point arithmetic. For maximally flat FIFB filter banks, the adjusted pole selection strategy by an optimization procedure is applied. Then, the resonator-based arbitrarily spaced center frequency filter banks (RFB) are proposed. They show better behaviour than general FIFB banks from the point of view of frequency responses and the implementation. In order to suppress the non-negligible sidelobes and further improve the passband performance of the non-uniform band filter banks, frequency domain windowing techniques are studied and linear programming is used to produce optimal windows for different banks. Thus the design methods of non-uniform band filter banks with windowing processing are presented and significant improvements are obtained on the filter bank performance. Finally, the FIFB filter bank techniques are successfully extended to the field of allpass and perfect reconstruction analysis/synthesis systems. This widens the application area of the FIFB filter banks. In an allpass system, a synthesis FIFB filter bank is derived based on a general analysis FIFB bank and the allpass requirement. In the perfect reconstruction system, multirate techniques are applied and the efficient general FIR synthesis filter bank and IIR FIFB filter bank are designed to construct the system.
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"It may be desired to apply Digital Signal Processing (DSP) to high bandwidth signals with a sampling rate too high for being handled by any commercially available processor. One approach to solve this problem is to divide the spectrum of the signal into subbands by an analysis filter bank, then process the subbands in parallel, and finally, recombine the processed subband signals by a synthesis filter bank. The key point is the fact, that the sampling rate in the subbands can be reduced by downsampling, because the bandwidth of the subband signals is reduced. Figure 1.1 shows this idea. This report describes a hardware implementation of Figure 1.1. The analysis and synthesis filter banks are implemented with Field Programmable Gate Arrays (FPGAs), the subband processing is accomplished with Motorola DSP 56302 Evaluation Modules (EVMs)."--Page 1.