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Design of IIR digital filters using all-pass networks

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3 Author(s)
Ikehara, M. ; Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan ; Tanaka, H. ; Kuroda, H.

This paper presents a new method of designing the generalized IIR digital filter in the form of a parallel connection of two all-pass filters. It is shown that the numerator of the overall transfer function of this form can be expressed as real function of the all-pass coefficients. Then Remez algorithm is applied to the numerator and the rational approximation problem is transformed into a linear problem. IIR digital filters with the desired specification can be directly designed in the z-domain by this method. The proposed algorithm converges through a few iterations, and the amplitude property of IIR digital filter has equiripple

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:41 ,  Issue: 3 )