A NUMERICAL APPROXIMATION TECHNIQUE FOR FILTER FUNCTIONS.
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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A new method is proposed for generating amplitudefrequency filter transfer functions of the usual type. The method consists of two algorithms based on modifications of the second method of Remez. Using this method it is shown how to generate the following types of filter functions the low-pass equi-ripple polynomial filter function with zeros at the origin the low pass equi-ripple filter function with a variable number of zeros in the pass-band and a variable number of poles in the stop-band the asymmetrical equi-ripple band-pass filter function and the double band-pass equi-ripple filter function. The parameters that must be specified are discussed. Modifications to the basic methods that make them more useful to the filter designer are also presented. A discussion is given of the convergence of the proposed algorithms. Examples are given. It is expected that these methods will be useful in filter design.