Accelerated design of FIR filters in the complex domain

The authors present an algorithm for a standard filter design problem, the design of an FIR (finite impulse response) filter that best approximates, in the Chebyshev sense, a desired complex-valued frequency response. The algorithm is iterative and stable, and exhibits good convergence speed. Both complex and real-valued impulse responses can be designed with it. Examples are given for both cases. It is conjectured that this algorithm may have important advantages over previous techniques with respect to speed, stability of convergence, accuracy, and memory requirements, especially when these qualities are desired simultaneously.<>