New approach to the design of linear phase biorthogonal filter banks and wavelets

Takayuki Nagai, Masaaki Ikehara

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

Abstract

In this research we propose a novel way to design biorthogonal filter banks and wavelets. Biorthogonal filter banks have more degrees of freedom than orthonormal ones. So, these have been well studied and some design methods were reported. Almost all of these methods, however, require the nonlinear programing technique. So we consider the simple design method which require only to solve linear equations iteratively. In our proposed method, we minimize least square error of PR condition so as to get around using the nonlinear programing technique. Finally we can obtain PR system.

Original languageEnglish
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
PublisherIEEE
Pages978-982
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 to the design of linear phase biorthogonal filter banks and wavelets. In Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 978-982). IEEE.

New approach to the design of linear phase biorthogonal filter banks and wavelets. / Nagai, Takayuki; Ikehara, Masaaki.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2 IEEE, 1997. p. 978-982.

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

Nagai, T & Ikehara, M 1997, New approach to the design of linear phase biorthogonal filter banks and wavelets. in Conference Record of the Asilomar Conference on Signals, Systems and Computers. vol. 2, IEEE, pp. 978-982, 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 to the design of linear phase biorthogonal filter banks and wavelets. In Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2. IEEE. 1997. p. 978-982
Nagai, Takayuki ; Ikehara, Masaaki. / New approach to the design of linear phase biorthogonal filter banks and wavelets. Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 2 IEEE, 1997. pp. 978-982
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