Minimax time-domain deconvolution for transversal filter equalizers

The subject of this paper is the design of an optimum transversal filter for time-domain equalization of a linear, time-invariant system. Given advance specification, in the time domain, of the unequalized system response and the desired equalized response, a numerical deconvolution is performed to determine the set of filter tap weights which optimally satisfies the continuous-time, convolutional integral equation in the minimax or Chebyshev sense. This solution is computed using the second algorithm of Remez. Numerical examples are provided which illustrate the efficacy of minimax deconvolution. A computer program flow chart is included.