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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 con-ditions for the minimum-energy frames for L2[0,1]; 3) present the construction al-gorithm for minimum-energy wavelet frame associated with refinable functions on the interval with any support γ ; 4) give the decomposition and reconstruction for-mulas of the minimum-energy frame on the interval [0,1].
The construction and properties of interval minimum-energy wavelet frames 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 con-ditions for the minimum- energy frames for L2 [0,1]; 3) present the construction al-gorithm for minimum-energy wavelet frame associated with refinable functions on the interval with any support γ; 4) give the decomposition and reconstruction for-mulas of the minimum- energy frame on the interval [0,1].