New approach for design of paraunitary filter banks with linear phase

Takayuki Nagai, Masaaki Ikehara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we propose a novel way to design nonparaunitary and paraunitary filter banks that each individual filter has linear phase. M channel filter banks, which have perfect reconstruction (PR) and linear phase (LP) properties, have been well studied and some design methods were reported. Since almost these methods are based on lattice structure whose sections are consist of orthogonal matrix, that design require the nonlinear programing technique. Here, we consider the design method which require only to solve linear equations iteratively. In our proposed method, we minimize least square error of PR constraints so as to get around using the nonlinear programing technique. We first observe the minimization problem of a quadratic function with two valuables, which is a basic idea of our new approach. Next, we apply it to the design of nonparaunitary filter banks. Then, we show that this method is applicable to the paraunitary filter banks design with some modification. Several design examples are given to validate our proposed methods.

Original languageEnglish
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
PublisherIEEE
Pages1324-1328
Number of pages5
Volume2
Publication statusPublished - 1997
EventProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2) - Pacific Grove, CA, USA
Duration: 1996 Nov 31996 Nov 6

Other

OtherProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2)
CityPacific Grove, CA, USA
Period96/11/396/11/6

Fingerprint

Filter banks
Linear equations

ASJC Scopus subject areas

  • Hardware and Architecture
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Nagai, T., & Ikehara, M. (1997). New approach for design of paraunitary filter banks with linear phase. In Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 1324-1328). IEEE.

New approach for design of paraunitary filter banks with linear phase. / Nagai, Takayuki; Ikehara, Masaaki.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2 IEEE, 1997. p. 1324-1328.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nagai, T & Ikehara, M 1997, New approach for design of paraunitary filter banks with linear phase. in Conference Record of the Asilomar Conference on Signals, Systems and Computers. vol. 2, IEEE, pp. 1324-1328, Proceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2), Pacific Grove, CA, USA, 96/11/3.
Nagai T, Ikehara M. New approach for design of paraunitary filter banks with linear phase. In Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2. IEEE. 1997. p. 1324-1328
Nagai, Takayuki ; Ikehara, Masaaki. / New approach for design of paraunitary filter banks with linear phase. Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2 IEEE, 1997. pp. 1324-1328
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