Multi-frequency wavelets

Song Guo-xiang · 2003

Multi-frequency wavelets,via directional multi-resolution analysis,generated by a single function is extended to wavelets generated by a finite number of functions.Necessary and sufficient conditions for translates of  1,..., n,ψ 1,...,ψ n(2 j 1+j 2-1)form a Riesz basis for V j(1) are derived.The decomposition of wavelets generated by a finite number of functions is given.

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