Abstract
An iterative approach is presented to the direct design of 1-dimensional (1-D) stable recursive digital filters in frequency domain satisfying prescribed magnitude specification with constant group-delay response. First, two approaches for the generation of 1-D Hurwitz polynomials (HP) are given. Then an analog reference filter is generated with a 1-D Hurwitz polynomial in its denominator. The discrete version of the 1-D filter is obtained by the application of the bi-linear transformation. Now the parameters of the derived digital transfer function are calculated by minimizing a cost function involving the sum of squares of the errors in the magnitude and group delay responses of the designed and ideal filter, using a suitable nonlinear optimization technique. The usefulness of the proposed technique is illustrated by examples.
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