A systematic algorithm for the design of multiplierless lattice wave digital filters

This paper describes an efficient algorithm for designing multiplierless lattice wave digital filters (parallel connections of two all-pass filters) with short coefficient wordlength. The coefficient optimization is performed in two steps. First, a nonlinear optimization algorithm is used for determining a parameter space of the infinite-precision coefficients including the feasible space where the filter meets the given criteria. The second step involves finding the filter parameters in this space so that the resulting filter meets the given criteria with the simplest coefficient representation forms. Comparisons with some other existing quantization schemes show that the proposed algorithm gives better finite-precision solutions in all examples taken from the literature.