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A Technique for the Construction of Compactly Supported Biorthogonal Wavelets of L2(Rn), n ≥ 2

✍ Scribed by Abderrazek Karoui


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
249
Category
Article
ISSN
0022-247X

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✦ Synopsis


In this paper, a technique for the concrete construction of compactly supported 2 Ž n . biorthogonal wavelet bases of L R is given. This technique does not depend on the dimension n, and it gives rise to non-separable multidimensional wavelet bases. Of special interest is the study of the stability of the constructed wavelet frames. It is assumed that the dilation matrices associated with the wavelet bases are given by D s 2 I .