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Design of IIR digital all-pass filters using least pth phase error criterion

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1 Author(s)
Chien-Cheng Tseng ; Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Taiwan

In this brief, the least pth-phase error criterion is adopted to design digital infinite-impulse-response all-pass filters to have an arbitrarily prescribed phase response. First, an iterative reweighted least-squares method is used to design an unconstrained all-pass filter whose optimal filter coefficients are obtained by solving a set of linear simultaneous equations in each iteration. Then, the proposed method is extended to design a constrained all-pass filter. Finally, a design example of the Hilbert transformer is demonstrated to illustrate the effectiveness of the new design method.

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:50 ,  Issue: 9 )