Design of FIR Halfband Filters for Orthonormal Wavelets Using Remez Exchange Algorithm

A new method is presented for designing FIR halfband filters for orthonormal wavelets. When the filter degree, number of vanishing moments, and tolerance error in passband/stopband are specified, the filters with the maximal passband/stopband width are designed by using Remez exchange algorithm. It is well-known that Remez exchange algorithm is an efficient approach for equiripple design of FIR linear phase filters. Therefore, FIR halfband filters with a given tolerance error can be easily obtained. Finally, some examples are presented to demonstrate the effectiveness of the proposed design method.