Download or read book New Design and Factorization Methods for Perfect Reconstruction Causal Stable Iir Filter Banks written by Shishu Yin and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "New Design and Factorization Methods for Perfect Reconstruction Causal Stable IIR Filter Banks" by Shishu, Yin, 殷仕淑, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled New Design and Factorization Methods for Perfect Reconstruction Causal Stable IIR Filter Banks Submitted by Yin Shishu for the degree of Doctor of Philosophy at the University of Hong Kong in November 2006 Filter Banks (FBs) have important applications in speech, audio, image and array processing. This thesis is concerned with the theory, design and factorization of causal stable infinite impulse response (IIR) FBs in both two-channel and M-channel cases. The design of perfect reconstruction (PR) or nearly perfect reconstruction (NPR) FBs is usually obtained by iterative procedures involving nonlinear constrained optimization. When the number of variables and constraints increases, the optimization procedure is rather sensitive to the initial value of FBs, especially for cases with low reconstruction delay. In this thesis, a new method for designing two-channel and M-channel NPR finite impulse response (FIR) FBs is presented. These FBs are designed to have an approximate cosine rolloff transition band so that the flatness conditions are automatically satisfied. The design problem can be formulated as a convex optimization problem. NPR FIR FBs so designed have a reasonably low reconstruction error and good frequency performance. Then, they are used as the initial guess for further optimization to obtain high quality PR FIR FBs. A new modified model reduction technique for designing NPR IIR FBs is presented. The polyphase components of these FBs are designed to have an identical denominator. Hence, the PR condition is considerably simplified. Another advantage of the proposed method is that the stability of the IIR filters is guaranteed and the NPR IIR FBs so obtained can be used as the initial guess for designing PR IIR FBs. To preserve the PR property after coefficient quantization, a new factorization technique of two-channel and M-channel IIR FBs is proposed. The proposed factorization is based on the lifting scheme and the implementation complexity is reduced by an approximate factor of two. Using these results, the resulting IIR FBs become PR structurally. Since the factorization is highly non-unique, a new method is further developed to select the factorization which has a smaller dynamic range of the lifting coefficients. The small dynamic range is very useful to the multiplier-less realization of IIR FBs whose lifting coefficients can be implemented as canonical signed digits (CSD) or sum of powers of two (SOPOT) coefficients. Because of the reduced arithmetic complexity, this approach is very attractive for VLSI implementation. To offer more flexibility in time-frequency partitioning and better performance in applications such as signal analysis and coding, a new class of NPR low-delay (LD) FIR and IIR recombination nonuniform FBs (RNFBs) is proposed. To suppress the spurious response possibly found in the stopband of the resulting analysis filter in the LD FIR RNFB, a matching condition between the original uniform FB and the recombination FB is developed. The general NPR IIR RNFB can be obtained by converting the resulting LD FIR RNFB using the modified model reduction technique mentioned earlier. Since there are a large number of variables for designing general M-channel IIR RNFBs, it is difficult to satisfy both PR and stability constraints. Therefore, CMFBs are considere

Download or read book New Design and Factorization Methods for Perfect Reconstruction Causal Stable IIR Filter Banks written by Shishu Yin and published by . This book was released on 2006 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NEW DESIGN METHODS FOR PERFECT written by Kai-Man Tsui and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "New Design Methods for Perfect Reconstruction Filter Banks" by Kai-man, Tsui, 徐啟民, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled New Design Methods for Perfect Reconstruction Filter Banks Submitted by Tsui Kai Man for the degree of Master of Philosophy at The University of Hong Kong in August 2004 Perfect reconstruction (PR) filter banks (FBs) have found applications in signal analysis, subband coding and the construction of wavelet bases. This study considers the theory and design of two-channel structural PR FBs. One important advantage of a structural PR FB is that its design can be simplified to conventional finite-/infinite- duration impulse response (FIR/IIR) filter design problems. This study proposes a new structural FB called multi-plet FB. It generalizes structural PR FBs [Pho 1995] and triplet FBs [Ans 1999] by employing multiple lifting steps. The resulting FB is more flexible than traditional structures in choosing the system delays and the filter lengths of the analysis filters. A systematic design procedure based on second order cone programming (SOCP) is also proposed. This is particularly useful for realizing FBs with a narrow transition band. The thesis first makes a detailed study of SOCP, a powerful convex optimization method allowing linear and convex quadratic inequality constraints to be incorporated. Using this useful property, a new method for the optimal minimax and least square (LS) design of linear-phase and low-delay FIR filters with prescribed flatness and peak error is proposed. New low-delay specialized filters such as Hilbert transformers (HTs), digital differentiators (DDs), M-th band filters (MBFs), and variable digital filters (VDFs) can be designed readily by the proposed method. The proposed SOCP approach is coupled with a new constrained model reduction method, which retains the denominator of the conventional model reduction techniques and formulates the optimal design of the numerator as a SOCP, and further extended to the design of causal stable IIR filters. These novel constrained FIR/IIR design methods are then applied to the design of casual stable IIR PR triplet and multi-plet FBs. The use of a hybrid of allpass and FIR linear-phase filters also enables the bumping effect found in the conventional structural PR IIR triplet FBs to be suppressed by an appropriate choice of parameter in the triplet structure. Wavelet FBs can also be obtained by the proposed constrained filter design approach. For the multi-plet FB, a low order prototype PR FB with a much wider transition band is first designed using non-linear optimization in order to obtain a symmetric frequency response and prescribed passband/stopband ripples. A subfilter is then designed using SOCP which enables the prototype FB to be wrapped by means of frequency transformation to meet the desired transition bandwidth while preserving the PR condition, passband/stopband ripples and lifting structure. The design procedure is very robust, and can be applied to both linear- phase and low-delay multi-plet FBs. By formulating the K-regularity conditions as a set of linear equality constraints on the subfilter coefficients, multi-plet-based wavelet bases can easily be designed under the SOCP framework. The effectiveness of the proposed methods is illustrated with several design examples. DOI: 10.5353/th_b3014499 Subjects: Electric filters, Digital - Design and construction Signal processing - Digital techniques Convex programming

Download or read book New Design and Factorization Methods for Perfect Reconstruction Filter Banks written by Jinsong Mao and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Design and Factorization Methods for Perfect Reconstruction Filter Banks written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optical Engineering written by and published by . This book was released on 2000 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers reporting on research and development in optical science and engineering and the practical applications of known optical science, engineering, and technology.

Download or read book Linear Phase Perfect Reconstruction Filter Banks written by Trac Duy Tran and published by . This book was released on 1998 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Implementation of Perfect Reconstruction Filter Banks with Rational Sampling Factors written by John May and published by . This book was released on 1993 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Design Methods for Perfect Reconstruction Filter Banks written by Kai-man Tsui (M.Phil.) and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A New Class of Two Channel Biorthogonal Filter Banks and Wavelet Bases written by and published by . This book was released on 1993 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a novel framework for a new class of two-channel biorthogonal filter banks. The framework covers two useful subclasses: (1) causal stable IIR filter banks; (2) linear phase FIR filter banks. There exists a very efficient structurally perfect reconstruction implementation for such a class. Filter banks of high frequency selectivity can be achieved by using the proposed framework with low complexity. The properties of such a class are discussed in detail. The design of the analysis/synthesis systems reduces to the design of a single transfer function. Very simple design methods are given both for FIR and IIR cases. Zeros of arbitrary multiplicity at aliasing frequency can be easily imposed, for the purpose of generating wavelets with regularity property. In the IIR case, two new classes of IRR maximally flat filters different from Butterworth filters are introduced. The filter coefficients are given in closed form. The wavelet bases corresponding to the biorthogonal systems are generated. We also provide a novel mapping of the proposed one dimensional (iD) framework into two dimensional (2D). The mapping preserves: (1) perfect reconstruction; (2) stability in the IIR case; (3) linear phase in the FIR case; (4) zeros at aliasing frequency; (5) frequency characteristic of the filters.

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Download or read book 1998 IEEE International Conference on Acoustics Speech and Signal Processing written by IEEE Signal Processing Society Staff and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1998-06 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multirate Systems Design and Applications written by Jovanovic-Dolecek, Gordana and published by IGI Global. This book was released on 2001-07-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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