A weighted least squares algorithm for the design of lattice-type perfect reconstruction cosine modulated filter banks

This paper presents a weighted least squares (WLS) algorithm for the design of lattice-type perfect reconstruction (PR) cosine modulated filter banks. The design of such a filter bank is formulated as a WLS problem with respect to the lattice coefficients, incorporating the condition that a number of the zeros of the prototype filter must be at specific locations in the stopband. Our iterative algorithm needs only a few iterations to derive a set of lattice coefficients which optimizes this WLS problem, while providing flexible control of the prototype filter´s stopband ripples. By specifying appropriate zeros of the prototype filter in the stop band, good designs with no DC leakage can be easily obtained