Abstract
holds for all f ∈ L2(R). The general scheme [1] for construction of compactly supported tight wavelet frames based on a multiresolution analysis looks as follows. Let a multiresolution analysis in L2(R) be generated by a compactly supported scaling function φ ∈ L2(R) satisfying the re nable equation φ(x) = m0(M∗x)φ(M∗x), where m0 is a trigonometric polynomial (re nable mask). For any trigonometric polynomial mν , there exists a unique set of trigonometric polynomials μνk, k = 0, . . . , m− 1, (polyphase components of mν) such that
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