Perfect Reconstruction Nonuniform Filter Banks with Linear Phase

Takayuki Nagai, Takaaki Fuchie, Masaaki Ikehara

Research output: Contribution to journalArticle

Abstract

A nonuniform filter bank divides the band nonuniformly according to the properties of the signal, which is expected to be more effective than a uniform division filter bank in applications such as subband coding. The structure of the nonuniform filter bank, however, is complex. In particular, no investigation has been made of the linear-phase nonuniform filter bank. From such a viewpoint, this paper considers a perfect reconstruction nonuniform filter bank with linear phase, and derives the necessary and sufficient conditions for a perfect reconstruction system as well as for a linear-phase filter. Then, a design method is presented based on the amplitude distortion in the frequency domain and the elimination of aliasing. By the proposed method, the nonuniform filter bank can be designed directly without using the equivalent transformation to the uniform filter bank.

Original languageEnglish
Pages (from-to)103-114
Number of pages12
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume83
Issue number8
Publication statusPublished - 2000

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Filter banks

Keywords

  • Linear phase
  • Nonuniform filter bank
  • Perfect reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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AB - A nonuniform filter bank divides the band nonuniformly according to the properties of the signal, which is expected to be more effective than a uniform division filter bank in applications such as subband coding. The structure of the nonuniform filter bank, however, is complex. In particular, no investigation has been made of the linear-phase nonuniform filter bank. From such a viewpoint, this paper considers a perfect reconstruction nonuniform filter bank with linear phase, and derives the necessary and sufficient conditions for a perfect reconstruction system as well as for a linear-phase filter. Then, a design method is presented based on the amplitude distortion in the frequency domain and the elimination of aliasing. By the proposed method, the nonuniform filter bank can be designed directly without using the equivalent transformation to the uniform filter bank.

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