Factoring perfect reconstruction filter banks into causal lifting matrices: a Diophantine approach
type: Item
instance of: scholarly article
title: Factoring perfect reconstruction filter banks into causal lifting matrices: a Diophantine approach
author: Christopher M. Brislawn
published in: Journal of Computational Algebra
publication date: 2025-01-27T00:00:00Z
Mathematics Subject Classification ID: 13P25
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 94A29
zbMATH DE Number: 7975285
zbMATH Keywords: causality
zbMATH Keywords: causal complementation
zbMATH Keywords: digital signal processing
zbMATH Keywords: Diophantine equation
zbMATH Keywords: elementary matrix decomposition
zbMATH Keywords: Euclidean algorithm
zbMATH Keywords: filter bank
zbMATH Keywords: lifting factorization
zbMATH Keywords: polyphase matrix
zbMATH Keywords: wavelet transform
MaRDI profile type: Publication
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: Q4023965
cites work: Q4488070
cites work: Group-Theoretic Structure of Linear Phase Multirate Filter Banks
cites work: Q3138779
cites work: Q4847221
cites work: Q3143213
cites work: On factorization of M-channel paraunitary filterbanks
cites work: Lattice structure for regular paraunitary linear-phase filterbanks and M-band orthogonal symmetric wavelets
cites work: A class of regular biorthogonal linear-phase filterbanks: theory, structure, and application in image coding
cites work: On Simplified Order-One Factorizations of Paraunitary Filterbanks
cites work: On the Arbitrary-Length $M$-Channel Linear Phase Perfect Reconstruction Filter Banks
cites work: Efficient Design of Cosine-Modulated Filter Banks via Convex Optimization
cites work: The lifting scheme: A custom-design construction of biorthogonal wavelets
cites work: The Lifting Scheme: A Construction of Second Generation Wavelets
cites work: Factoring wavelet transforms into lifting steps
cites work: Q5534234
cites work: Q4888749
cites work: Q5316395
cites work: Modern computer algebra
cites work: Wavelets and filter banks: theory and design
cites work: ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
cites work: An algorithmic proof of Suslin's stability theorem for polynomial rings
cites work: Reversible integer-to-integer wavelet transforms for image compression: Performance evaluation and analysis
cites work: Automation of the lifting factorisation of wavelet transforms
cites work: Two-channel adaptive biorthogonal filter banks via lifting
cites work: Symmetric-extension-compatible reversible integer-to-integer wavelet transforms
cites work: Efficient Architectures for 1-D and 2-D Lifting-Based Wavelet Transforms
cites work: &lt;tex&gt;$M$&lt;/tex&gt;-Band Biorthogonal Interpolating Wavelets via Lifting Scheme
cites work: Dyadic-based factorizations for regular paraunitary filterbanks and M-band orthogonal wavelets with structural vanishing moments
cites work: Generalized Block-Lifting Factorization of $M$-Channel Biorthogonal Filter Banks for Lossy-to-Lossless Image Coding
cites work: Generalized Triangular Decomposition in Transform Coding
cites work: The Role of GTD in Optimizing Perfect Reconstruction Filter Banks
cites work: A wreath product group approach to signal and image processing. I: Multiresolution analysis
cites work: A wreath product group approach to signal and image processing. II: Convolution, correlation, and applications
cites work: Two-dimensional wreath product group-based image processing
cites work: Symbolic computation and signal processing
cites work: Gröbner bases and wavelet design
cites work: Multirate Filterbank Design: A Relaxed Commutant Lifting Approach
cites work: Multi-D Wavelet Filter Bank Design Using Quillen-Suslin Theorem for Laurent Polynomials
cites work: The polyphase-with-advance representation and linear phase lifting factorizations
cites work: Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations
cites work: Group Lifting Structures for Multirate Filter Banks II: Linear Phase Filter Banks
cites work: On the Group-Theoretic Structure of Lifted Filter Banks
cites work: Q3317050
cites work: Q4771385
cites work: Q4044675
cites work: Q3105730
cites work: Q3996701
cites work: Number Theory
cites work: Biorthogonal bases of compactly supported wavelets
DOI: 10.1016/J.JACA.2024.100024
description: scientific article; zbMATH DE number 7975285