Implementation of Biorthogonal Wavelet Transform Using Discrete Cosine Sequency Filter

Biorthogonal wavelet transform has been widely used in the fields of image denoising and image coding. It is usually realized by linear phase filters. All phase digital filter is a new type of linear phase digital filter which has been proposed in recent years and has frequency structure. On the basis of analyzing principle of biorthogonal wavelet transform and discrete cosine sequency filter (DCSF), this paper proposes a new algorithm to implement biorthogonal wavelet transform by using discrete cosine sequency filter. Simulation experiments to typical test images are conducted in MATLAB. Experimental results show that whether using the discrete cosine sequency filter or the biorthogonal wavelet transform, the results of the decomposition and reconstruction are the same. It comes to conclude that the proposed algorithm is valid.