The design of two-channel perfect reconstruction IIR filter banks with causality

Masahiro Okuda, Takashi Fukuoka, Masaaki Ikehara, Shin Ichi Takahashi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A necessary condition for filter banks is the perfect recovery of input signal from the output signal which may be called the perfect reconstruction condition. Moreover, for real-time processing, design of causal system is also an essential element. In the conventional allpass filter, it is difficult to satisfy the perfect reconstruction condition and causality at the same time. In this paper, a two-channel IIR filter is designed which solves these problems. Using the polyphase structure, the perfect reconstruction condition is newly presented. Lagrange-multiplier and Lagrange-Newton methods, used for optimization and design method based on this condition, are described. Moreover, the validity of this method is shown by computer simulations.

Original languageEnglish
Pages (from-to)22-31
Number of pages10
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume81
Issue number5
Publication statusPublished - 1998 May

Fingerprint

IIR filters
Filter banks
Lagrange multipliers
Newton-Raphson method
Recovery
Computer simulation
Processing

Keywords

  • Causality
  • IIR filter bank
  • Perfect reconstruction
  • Weighted least-squares method

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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AU - Ikehara, Masaaki

AU - Takahashi, Shin Ichi

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AB - A necessary condition for filter banks is the perfect recovery of input signal from the output signal which may be called the perfect reconstruction condition. Moreover, for real-time processing, design of causal system is also an essential element. In the conventional allpass filter, it is difficult to satisfy the perfect reconstruction condition and causality at the same time. In this paper, a two-channel IIR filter is designed which solves these problems. Using the polyphase structure, the perfect reconstruction condition is newly presented. Lagrange-multiplier and Lagrange-Newton methods, used for optimization and design method based on this condition, are described. Moreover, the validity of this method is shown by computer simulations.

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