Another general analytic construction for wavelet lowpassed filters

The orthogonal wavelet lowpassed filters coefficients with arbitrary length are constructed in this paper. When N=2k and N= 2^k-1, the general analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and many other wavelet filters are tested by the proposed novel method, which is very useful for wavelet theory research and many applications areas such as pattern recognition.