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McClellan transformation and the construction of biorthogonal wavelet bases of L2R2

✍ Scribed by A. Karoui; R. Vaillancourt

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
792 KB
Volume
29
Category
Article
ISSN
0898-1221

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✦ Synopsis

Bidimensional wavelet bases are constructed by means of McClellan's transformation applied to a pair of one-dimensional biorthogonal wavelet filters. It is shown that under some conditions on the transfer function F(Wl,W2) associated to the McClellan transformation and on the dilation matrix D, it is possible to construct symmetric compactly supported biorthogonal wavelet bases of L2(R2). Finally, the construction method is illustrated by means of numerical examples.

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