NDLI: The polyphase-with-advance representation and linear phase lifting factorizations

Content Provider	IEEE Xplore Digital Library
Author	Brislawn, C.M. Wohlberg, B.
Copyright Year	1991
Abstract	A matrix theory is developed for the noncausal polyphase representation that underlies the theory of lifted filter banks and wavelet transforms. The theory presented here develops an extensive matrix algebra framework for analyzing and implementing linear phase two-channel filter banks via lifting cascade schemes. Whole-sample symmetric and half-sample symmetric linear phase filter banks are characterized completely in terms of the polyphase-with-advance representation, and new proofs are given of linear phase lifting factorization theorems for these two principal classes of linear phase filter banks. The theory benefits significantly from a number of group-theoretic structures arising in the polyphase-with-advance representation and in the lifting factorization of linear phase filter banks. These results form the foundations of the lifting methodology employed in Part 2 of the ISO/IEC JPEG 2000 still image coding standard.
Sponsorship	IEEE Signal Processing Society
Starting Page	2022
Ending Page	2034
Page Count	13
File Size	423835
File Format	PDF
ISSN	1053587X
Volume Number	54
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Filter bank ISO standards IEC standards Discrete wavelet transforms Machinery Nonlinear filters Symmetric matrices Wavelet transforms Image coding Signal processing wavelet lifting linear phase JPEG 2000 polyphase
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations

Group Lifting Structures for Multirate Filter Banks II: Linear Phase Filter Banks

Resolution scalability for arbitrary wavelet transforms in the JPEG-2000 standard (2003)

Equivalence of Symmetric Pre-Extension and Lifting Step Extension in the JPEG 2000 Standard

Design of IIR orthogonal wavelet filter banks using lifting scheme

Lifted linear phase filter banks and the polyphase-with-advance representation [JPEG 2000 image coding applications]

Group-Theoretic Structure of Linear Phase Multirate Filter Banks

Balanced multiwavelet bases based on symmetric FIR filters

A new lifting structure of non separable 2D DWT with compatibility to JPEG 2000

The polyphase-with-advance representation and linear phase lifting factorizations

Similar Documents

Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations

Group Lifting Structures for Multirate Filter Banks II: Linear Phase Filter Banks

Resolution scalability for arbitrary wavelet transforms in the JPEG-2000 standard (2003)

Equivalence of Symmetric Pre-Extension and Lifting Step Extension in the JPEG 2000 Standard

Design of IIR orthogonal wavelet filter banks using lifting scheme

Lifted linear phase filter banks and the polyphase-with-advance representation [JPEG 2000 image coding applications]

Group-Theoretic Structure of Linear Phase Multirate Filter Banks

Balanced multiwavelet bases based on symmetric FIR filters

A new lifting structure of non separable 2D DWT with compatibility to JPEG 2000

The polyphase-with-advance representation and linear phase lifting factorizations