Minimum-energy wavelet frame on the interval

作者：Gao XePing; Cao ChunHong^*

来源：Science in China - Series F: Information Sciences , 2008, 51(10): 1547-1562.

DOI：10.1007/s11432-008-0107-0

• scaling function
• multi-resolution analysis
• wavelet on the interval
• frame
• minimum-energy

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 gamma; 4) give the decomposition and reconstruction formulas of the minimum-energy frame on the interval [0,1].

• 出版日期2008-10
• 单位湘潭大学