Cheby¿shev time-domain deconvolution for transversal filter equalisers

Design equations are presented for computing the N tap weights of a transversal filter equaliser. The associated time-domain deconvolution is performed subject to the Cheby¿shev (minimax) error criterion. Individual or pointwise deconvolution errors are controlled and minimised uniformly. This method offers an alternative to least square error or discrete Fourier transform designs wherein only the cumulative de-convolution error is minimised. Computationally, the Ascent algorithm is used which requires inversion of two (N + 1) × (N + 1) matrices followed by a finite number of elementary algebraic exchange operations. The equations needed to implement this algorithm are presented in a form suitable for digital computation.