Simultaneous magnitude and phase equalization using digital filters

This paper presents a general method for designing digital filters in the frequency domain. The method is based on a Laurent expansion of the filter transfer function,
H (z)
, about the orgin. A special case of the method, developed in this paper, allows the coefficients of the polynomials containing the poles and zeros of
H (z)
to be determined by solving triangular linear equations in the Fourier coefficients of the prescribed magnitude and phase characteristics. Either finite-duration impulse-response (FIR) or infinite-duration impulse-response (IIR) filters can be designed by this method.