Fast and Low Roundoff Implementation of Quadrature Mirror Filters for Subband Coding

Jar Ferr Yang, Din Yuen Chan, Yuan Been Chen

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we propose a fast and low roundoff noise implementation of alias-free quadrature mirror filters (QMF‘s) for tree-structured subband coding. When N-tap FIR QMF's are directly utilized, they require 2N multiplications and 2(N - 1) additions to obtain a pair of high band and low band decimated outputs. Using recursive formulas and the polyphase concept, a QMF implementation is proposed that, for both analysis and synthesis stages, needs only (N/2 + 2) multiplications and (3N/2 + 8) additions to compute the same outputs. Furthermore, the proposed algorithm can reduce roundoff error when finite-wordlength processors are used to implement the encoder and decoder. Simulation examples for image coding are also given to demonstrate the differences between the proposed and previously-known algorithms.

Original languageEnglish
Pages (from-to)524-532
Number of pages9
JournalIEEE Transactions on Circuits and Systems for Video Technology
Volume5
Issue number6
DOIs
Publication statusPublished - 1995 Dec

All Science Journal Classification (ASJC) codes

  • Media Technology
  • Electrical and Electronic Engineering

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