Fast and low roundoff implementation of quadrature mirror filters for subband coding

  • Authors:
  • Jar-Ferr Yang;Din-Yuen Chan;Yuan-Been Chen

  • Affiliations:
  • Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan;-;-

  • Venue:
  • IEEE Transactions on Circuits and Systems for Video Technology
  • Year:
  • 1995

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Abstract

We propose a fast and low roundoff-noise implementation of alias-free quadrature mirror filters (QMFs) for tree-structured subband coding. When N-tap FIR QMFs 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