Design of cosine-sine modulated filter banks without DC leakage

We propose a new design structure for the M-band dual-tree wavelet transform based on the idea of using cosine-sine modulated filter banks. The filter coefficients for the real and imaginary parts of the transform will be computed by using cosine- and sine-modulated filter banks, respectively. In the proposed structure, the zero-delay and maximum-delay matrices calculated for the cosine-modulated filter banks will be extended for sine-modulated filter banks with a few sign changes. Furthermore, the resulting structure can be easily enforced with the constraints so that the prototype is able to produce a pair of DC-leakage-free filter banks. The experimental results confirmed these advantageous properties of our proposed design structure.