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 Design and Implementation of Linear phase And or Pairwise symmetric Perfect reconstruction FIR Multirate Filter Banks written by Truong Quang Nguyen and published by . This book was released on 1989 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Near Perfect Reconstruction Linear Phase Discrete Coefficient Filter Bank Design written by Mete Gök and published by . This book was released on 2001 with total page 216 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 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 Spectral Audio Signal Processing written by Julius Orion Smith and published by . This book was released on 2007 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Spectral Audio Signal Processing is the fourth book in the music signal processing series by Julius O. Smith. One can say that human hearing occurs in terms of spectral models. As a result, spectral models are especially useful in audio applications. For example, with the right spectral model, one can discard most of the information contained in a sound waveform without changing how it sounds. This is the basis of modern audio compression techniques."--Publisher's description.
Download or read book Design Techniques for Uniform Dft Linear Phase Filter Banks written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-15 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uniform-DFT filter banks are an important class of filter banks and their theory is well known. One notable characteristic is their very efficient implementation when using polyphase filters and the FFT. Separately, linear phase filter banks, i.e. filter banks in which the analysis filters have a linear phase are also an important class of filter banks and desired in many applications. Unfortunately, it has been proved that one cannot design critically-sampled, uniform-DFT, linear phase filter banks and achieve perfect reconstruction. In this paper, we present a least-squares solution to this problem and in addition prove that oversampled, uniform-DFT, linear phase filter banks (which are also useful in many applications) can be constructed for perfect reconstruction. Design examples are included illustrate the methods. Sun, Honglin and DeLeon, Phillip Goddard Space Flight Center
Download or read book Multidimensional Filter Banks and Wavelets written by Sankar Basu and published by Springer Science & Business Media. This book was released on 1996-07-31 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lifted Linear Phase Filter Banks and the Polyphase with advance Representation written by and published by . This book was released on 2004 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: A matrix theory is developed for the noncausal polyphase-with-advance representation that underlies the theory of lifted perfect reconstruction filter banks and wavelet transforms as developed by Sweldens and Daubechies. This theory provides the fundamental lifting methodology employed in the ISO/IEC JPEG-2000 still image coding standard, which the authors helped to develop. Lifting structures for polyphase-with-advance filter banks are depicted in Figure 1. In the analysis bank of Figure 1(a), the first lifting step updates x0 with a filtered version of x1 and the second step updates x1 with a filtered version of x0; gain factors 1/K and K normalize the lowpass- and highpass-filtered output subbands. Each of these steps is inverted by the corresponding operations in the synthesis bank shown in Figure 1(b). Lifting steps correspond to upper- or lower-triangular matrices, S{sub i}(z), in a cascade-form decomposition of the polyphase analysis matrix, H{sub a}(z). Lifting structures can also be implemented reversibly (i.e., losslessly in fixed-precision arithmetic) by rounding the lifting updates to integer values. Our treatment of the polyphase-with-advance representation develops an extensive matrix algebra framework that goes far beyond the results of. Specifically, we focus on analyzing and implementing linear phase two-channel filter banks via linear phase lifting cascade schemes. Whole-sample symmetric (WS) and half-sample symmetric (HS) linear phase filter banks are characterized completely in terms of the polyphase-with-advance representation. The theory benefits significantly from a number of new group-theoretic structures arising in the polyphase-with-advance matrix algebra from the lifting factorization of linear phase filter banks.
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 A Generic Approach to the Design of Uniform band M channel Perfect reconstruction Linear phase FIR Filter Banks written by Parviz Saghizadeh and published by . This book was released on 1995 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiresolution Signal Decomposition written by Paul A. Haddad and published by Academic Press. This book was released on 2012-12-02 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth, integrated, and up-to-date exposition of the topic of signal decomposition techniques. Application areas of these techniques include speech and image processing, machine vision, information engineering, High-Definition Television, and telecommunications. The book will serve as the major reference for those entering the field, instructors teaching some or all of the topics in an advanced graduate course and researchers needing to consult an authoritative source.n The first book to give a unified and coherent exposition of multiresolutional signal decomposition techniquesn Classroom tested textbook clearly describes the commonalities among three key methods-transform coding, and wavelet transformsn Gives comparative performance evaluations of many proposed techniques
Download or read book Signal Processing with Lapped Transforms written by Henrique S. Malvar and published by Artech House Telecommunication. This book was released on 1992 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference provides an in-depth discussion of the theory and application of lapped transforms (LTs). It explains how LTs can lead to a better complexity/performance trade-off than other transforms or filter bands used in signal processing. The text addresses the increased use LTs, especially with HDTV and how they may become the standard for high-quality audio coding.
Download or read book Multirate Systems and Filter Banks written by P. P. Vaidyanathan and published by Pearson. This book was released on 1993 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Group Lifting Structures For Multirate Filter Banks II written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of group lifting structures is applied to linear phase lifting factorizations for the two nontrivial classes of two-channel linear phase perfect reconstruction filter banks, the whole-and half-sample symmetric classes. Group lifting structures defined for the reversible and irreversible classes of whole-and half-sample symmetric filter banks are shown to satisfy the hypotheses of the uniqueness theorem for group lifting structures. It follows that linear phase lifting factorizations of whole-and half-sample symmetric filter banks are therefore independent of the factorization methods used to compute them. These results cover the specification of user-defined whole-sample symmetric filter banks in Part 2 of the ISO JPEG 2000 standard.
Download or read book Filter Bank written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-04-29 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Filter Bank A filter bank is an array of bandpass filters that is used in signal processing. Its purpose is to divide the input signal into several components, each of which carries a sub-band of the original signal. Attenuating the components in a new way and recombining them into a modified version of the original signal is one of the applications of a filter bank. A graphic equalizer is one example of this type of application. The result of analysis is referred to as a subband signal, and it contains as many subbands as there are filters in the filter bank. The process of decomposition that is carried out by the filter bank is referred to as analysis. Synthesis is the term used to describe the process of reconstruction, which refers to the act of reconstructing a complete signal that was produced by the filtering process. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Filter Bank Chapter 2: Discrete Fourier Transform Chapter 3: Digital Filter Chapter 4: Wavelet Chapter 5: Modified Discrete Cosine Transform Chapter 6: Finite Impulse Response Chapter 7: Daubechies Wavelet Chapter 8: Discrete Wavelet Transform Chapter 9: Discrete-Time Fourier Transform Chapter 10: Downsampling (Signal Processing) (II) Answering the public top questions about filter bank. (III) Real world examples for the usage of filter bank in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Filter Bank.
