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A two-sided rational approximation procedure for recursive digital filter design is presented in this paper. More specifically, an explicit expression for the designed filter transfer function can be obtained once a rational approximation for the analytic part of the Fourier series expansion of the desired filter characteristic is determined. To demonstrate the efficiency of this technique, we derive a two-sided Padé approximation method. Several examples are given to illustrate this design procedure.
Chui et al. (Sun,) studied this question.