Design of linear phase Mchannel perfect reconstruction FIR filter banks

Takayuki Nagai, Takaaki Fuchie, Masaaki Ikehara

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We propose two approaches to design M channel nonparaunitary filter banks that satisfy perfect reconstruction (PR) and linear phase (LP) properties. In the flrst approach, the PR condition is imposed on only a highpass filter. Although this method does not require nonlinear optimization, it has a demerit in that the order of a highpass filter becomes high. In the second approach, two filters are optimized simultaneously using a LagrangeNewton method. We can design PR filter banks that have the same length. The PR constraint is also formulated as a linear and nonlinear equation of the analysis filter coefficients. Finally, some design examples are included.

Original languageEnglish
Pages (from-to)23802387
Number of pages1
JournalIEEE Transactions on Signal Processing
Issue number9
Publication statusPublished - 1997

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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