Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions

Based on sine and cosine functions, the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time. When N=2^k−1 and N=2k, the unified analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and some other well-known wavelet filters are tested by the proposed novel method which is very useful for wavelet theory research and many application areas such as pattern recognition. Foundation item: the National Natural Science Foundation of China (69903012, 69682011); Science Foundation of Chongqing Logistical Engineering University Biography: LI Jian-ping (1964-), Professor, Doctor