Image coding usingM‐channel paraunitary filterbanks: Design with regularity and signal extension method

Tomohiro Oka, Toshiyuki Uto, Masaaki Ikehara · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 2005

Abstract This paper proposes a signal extension method to realize image coding byM‐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 generalM‐channel filter bank. Also, a signal extension method is proposed using singular value decomposition so that the extended signals are smooth. Next, in theM‐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. © 2005 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 88(7): 52–60, 2005; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjc.20134

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