Download or read book New Design and Factorization Methods for Perfect Reconstruction Filter Banks written by Jinsong Mao 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 Filter Banks" by Jinsong, Mao, 毛勁松, 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. DOI: 10.5353/th_b3124074 Subjects: Electric filters, Digital

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 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 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 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 DESIGN OF 1 D 2 D PERFECT RE written by 陳志榮 and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Design of 1-D and 2-D Perfect Reconstruction Filter Banks" by 陳志榮, Chi-wing, Chan, 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. DOI: 10.5353/th_b3121491 Subjects: Wavelets (Mathematics) Electric filters - Mathematics Signal processing - Digital techniques - Mathematics

Download or read book New Design and Realization Techniques for Perfect Reconstruction Two Channel Filterbanks and Wavelets Bases written by Ka-Shun Carson Pun and published by . 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 Realization Techniques for Perfect Reconstruction Two-channel Filterbanks and Wavelets Bases" by Ka-shun, Carson, Pun, 潘加信, 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. DOI: 10.5353/th_b3122663 Subjects: Digital filters (Mathematics) Wavelets (Mathematics) Signal processing - Mathematics

Download or read book Wavelets and Filter Banks written by Gilbert Strang and published by SIAM. This book was released on 1996-10-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of wavelets for both engineers and mathematicians.

Download or read book Structure and Design of 2 D Nonseparable Orthogonal Perfect Reconstruction Filter Banks and Wavelets with Applications to Image Compression written by Shankar Venkataraman and published by . This book was released on 1995 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Design of 1 D and 2 D Perfect Reconstruction Filter Banks written by Chi-wing Chan and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Design of Multiplier Less Perfect Reconstruction Filter Banks Using Genetic Algorithm and Sum Of Powers Of Two Representation written by Wei Liu 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, "On the Design of Multiplier-less Perfect Reconstruction Filter Banks Using Genetic Algorithm and Sum-of-powers-of-two Representation" by Wei, Liu, 劉偉, 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. DOI: 10.5353/th_b3122484 Subjects: Light filters Genetic algorithms

Download or read book Journal of VLSI Signal Processing Systems for Signal Image and Video Technology written by and published by . This book was released on 1999 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analysis and Design of FIR Multirate Filter Banks written by Adnan M. S. Al-Adnani and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Chinese Journal of Electronics written by and published by . This book was released on 2003 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: