The Bounds Of Sub-band Operaters Of Muti-band Biorthogonal Wavalets

In Wavelet analysis theory the design of the wavelet is a big problem,acoording to two-band wavelet,the method is if we have known scale function,according to a certain nature and meet the needs of the application of the wavelet function.But more involved into multi-band wavelet,more properties?large amount of calculation? more parameters and the lack of theory support,and how to measure the performance of the designed wavelets,so many problems need to be studied further.Professor guo-qiu wang had put forward subband operator theory,gave the exact estimates,found out the exact value.In this paper,the author designs a 4-band biorthogonal wavelet,and sets the coefficients of the wavelet filter,finds out the characteristic values of the corresponding similarity theory proved that the circulant matrix.