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

Abstract

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)43-51
Number of pages9
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume79
Issue number3
Publication statusPublished - 1996 Mar

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Filter banks
FIR filters
Newton-Raphson method

Keywords

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "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.",
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AB - 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.

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