In this paper, we develop a multiple exchange alWe present an algorithm for computing a real coefficient FIR filter that approximates a desired frequency response. The error criterion used is the complex Chebyshev norm of the weighted error function. The procedure is developed by utilizing the characterization theorem for linear complex Chebyshev a p proximation. Our algorithm is substantially faster than existing approaches and requires O ( N 3 ) computations, where N represents the filter length. It has been tested in many applications and has been observed to result in the unique optimal solution.
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