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Design of minimum-phase finite-impulse-response digital filters

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1 Author(s)
Gilchrist, J.H. ; University of Calgary, Department of Electrical Engineering, Calgary, Canada

A method is presented which can be used for the direct design of minimum-phase finite-impulse-response digital filters with arbitrary prescribed modulus-squared characteristics. This method uses the Fletcher-Powell optimisation technique to minimise an L2p norm to obtain a nonnegative polynomial fit to the desired characteristics in a transformed domain. The coefficients of the filter are then obtained from the zeros of this polynomial. Examples of lowpass and bandpass filter designs are given using an L20 norm. A comparison of the passband and stopband ripples and their ratio is made with linear-phase filter designs.

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Electrical Engineers, Proceedings of the Institution of  (Volume:124 ,  Issue: 8 )