WSEAS Transactions on Signal Processing
Print ISSN: 1790-5052, E-ISSN: 2224-3488
Volume 10, 2014
Design of Stable IIR Filters with Prescribed Flatness and Approximately Linear Phase
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Abstract: This paper presents a design method of infinite impulse response (IIR) filters with prescribed flatness and approximately linear phase characteristics using quadratic programming (QP). It is utilized in this paper for the design of Chebyshev type, inverse Chebyshev type filters, and simultaneous Chebyshev type filters with the prescribed flatness in passband and stopband. In the proposed method, the flatness condition in stopband is preincorporated into the transfer function. Then, the flatness condition in passband and the filter’s stability condition are, respectively, added to the QP problem as the linear matrix equality and linear matrix inequality constraints. As a result, the proposed method can easy design these three types of filter by only change of the design parameters. The effectiveness of the proposed design method is illustrated with some examples.
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Keywords: IIR filter, Flat magnitude, Flat group delay, Equiripple characteristics, Quadratic programming
Pages: 619-626
WSEAS Transactions on Signal Processing, ISSN / E-ISSN: 1790-5052 / 2224-3488, Volume 10, 2014, Art. #64