Minimum-energy wavelet frame on the interval

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Xieping Gao, Chunhong Cao

Published: 2008, Last Modified: 07 Jan 2026Sci. China Ser. F Inf. Sci. 2008EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: The construction and properties of interval minimum-energy wavelet frame are systematically studied in this paper. They are as follows: 1) give the definition of interval minimum-energy wavelet frame; 2) give the necessary and sufficient conditions for the minimum-energy frames for L 2[0,1]; 3) present the construction algorithm for minimum-energy wavelet frame associated with refinable functions on the interval with any support γ; 4) give the decomposition and reconstruction formulas of the minimum-energy frame on the interval [0,1].