Design of linear phase M-channel perfect reconstruction FIR filter banks

Takayuki Nagai, Takaaki Fuchie, Masaaki Ikehara

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We propose two approaches to design M channel nonparaunitary filter banks that satisfy perfect reconstruction (PR) and linear phase (LP) properties. In the first approach, the PR condition is imposed on only a high pass 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 Lagrange-Newton 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)2380-2387
Number of pages8
JournalIEEE Transactions on Signal Processing
Volume45
Issue number9
DOIs
Publication statusPublished - 1997 Sep

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Filter banks
FIR filters
High pass filters
Newton-Raphson method
Linear equations
Nonlinear equations

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Design of linear phase M-channel perfect reconstruction FIR filter banks. / Nagai, Takayuki; Fuchie, Takaaki; Ikehara, Masaaki.

In: IEEE Transactions on Signal Processing, Vol. 45, No. 9, 09.1997, p. 2380-2387.

Research output: Contribution to journalArticle

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