Image coding using m-channel paraunitary filterbanks: Design with regularity and signal extension method

Tomohiro Oka, Toshiyuki Uto, Masaaki Ikehara

Research output: Contribution to journalArticle

Abstract

This paper proposes a signal extension method to realize image coding by M-channel paraunitary filter banks and a lattice configuration of the latter satisfying regularity. In the conversion code for finitely long signals such as images, nonextensional convolution is important for efficient coding without increasing the number of coded pixels. To this end, nonextensional convolution is realized in a general M-channel filter bank. Also, a signal extension method is proposed using singular value decomposition so that the extended signals are smooth. Next, in the M-channel paraunitary filter banks, a design method is proposed that is based on the lattice configuration satisfying the first-order regularity so that the DC leakage is prevented. Finally, the proposed method is applied to coding of various stationary images and the effectiveness of the method is demonstrated.

Original languageEnglish
Pages (from-to)52-60
Number of pages9
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume88
Issue number7
DOIs
Publication statusPublished - 2005 Jul

Fingerprint

Filter banks
Image coding
Convolution
Singular value decomposition
Pixels

Keywords

  • Image coding
  • Lattice configuration
  • M-channel paraunitary filter bank
  • Nonextensional convolution
  • Regularity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "Image coding using m-channel paraunitary filterbanks: Design with regularity and signal extension method",
abstract = "This paper proposes a signal extension method to realize image coding by M-channel paraunitary filter banks and a lattice configuration of the latter satisfying regularity. In the conversion code for finitely long signals such as images, nonextensional convolution is important for efficient coding without increasing the number of coded pixels. To this end, nonextensional convolution is realized in a general M-channel filter bank. Also, a signal extension method is proposed using singular value decomposition so that the extended signals are smooth. Next, in the M-channel paraunitary filter banks, a design method is proposed that is based on the lattice configuration satisfying the first-order regularity so that the DC leakage is prevented. Finally, the proposed method is applied to coding of various stationary images and the effectiveness of the method is demonstrated.",
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