Discrete Cosine Approximation Of Wavelet Function

Generally speaking,for wavelet,the scaling function are difficult to obtain the analytic formula,Most of them are obtained by their filter coefficients,Therefor,there are many limitations for them.So,based on this phenomenon,Wang first proposed the concept of discrete orthogonal basis and generalized interpolation approximation method.In this paper,we use discrete cosine orthogonal approx-imation for the first time show scaling function and wavelet funtion which have no expressions on the basis of dyadic expansion of scaling function.Experimental results show that the wavelet function in the more intensive case,the approxi-mation precision is higher,resulting in the approximation is better.This paper focuses on the Daubechies wavelet,and gives a concrete example of its wavelet function with length of 8,10,12,and 14.