Design and factorization of FIR paraunitary filter banks given several analysis filters

C. W. Kok, M. Ikehara, T. Q. Nguyen

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This correspondence discusses the design and factorization of FIR paraunitary filter banks where several analysis filters are given. A lattice factorization-based algorithm is presented that provides complete and minimal characterization for nonlinear-phase and balanced linear-phase systems. As a result, the design problem can be formulated as an unconstrained optimization of the lattice coefficients, whereas paraunitariness and linear-phase properties are structurally guaranteed. The second presented algorithm formulates the design problem in quadratic form that provides better control on the frequency responses of the embedding solution. An unitary scaling filter design algorithm is also presented that can be paired with the paraunitary embedding solution to design orthnormal wavelet basis with high regularity. A design example is presented.

Original languageEnglish
Pages (from-to)2157-2161
Number of pages5
JournalIEEE Transactions on Signal Processing
Volume48
Issue number7
DOIs
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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