A Class of Sparse Unimodular Matrices Generating Multiresolution and Sampling Analysis for Data of Any Length

Abstract

Abstract. We introduce a class of sparse unimodular matrices Um of order m×m, m = 2, 3, . . . . Each matrix Um has all entries 0 except for a small number of entries 1. The construction of Um is achieved by iteration, determined by the prime factorization of a positive integer m and by new dilation operators and block matrix operators. The iteration above… (More)
DOI: 10.1137/050638679

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