Design of linear-phase M-channel perfect reconstruction finite impulse response filter banks using Lagrange-Newton method

Takayuki Nagai, Masaaki Ikehara

Research output: Contribution to journalArticle


Filter banks are separated roughly into paraunitary and nonparaunitary ones. Paraunitary filter banks are excellent and have several good characteristics, but it is difficult to design such a system. This research focuses on nonparaunitary filter banks and presents a design method for the linear-phase (LP) M-channel perfect reconstruction (PR) finite impulse response (FIR) filter banks. In this method, M-2 analysis filters are arbitrarily designed and then the remaining ones are optimized using the Lagrange-Newton method. Using the proposed method, PR filter banks with arbitrary order can be designed easily. Furthermore, the design method that considers the pairwise-shift symmetry is shown and such a system is easy to design.

Original languageEnglish
Pages (from-to)43-52
Number of pages10
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Issue number3
Publication statusPublished - 1996 Mar



  • Lagrange-Newton method
  • Linear phase
  • M-channel FIR filter banks
  • Pairwise-shift symmetry
  • Perfect reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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