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Synthesis of IIR digital filters exhibiting simultaneous amplitude and phase responses for VLSI implementations
Author(s) -
AboZahhad M.,
ElRaheem G. A.,
Fahmy M. F.
Publication year - 1997
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199701/02)25:1<1::aid-cta943>3.0.co;2-2
Subject(s) - infinite impulse response , linear phase , cepstrum , digital filter , algorithm , mathematics , control theory (sociology) , prototype filter , very large scale integration , lattice phase equaliser , 2d filters , network synthesis filters , linear filter , filter (signal processing) , finite impulse response , lattice (music) , electronic engineering , computer science , low pass filter , adaptive filter , engineering , speech recognition , acoustics , control (management) , artificial intelligence , computer vision , physics
A method is described for the design and implementation, in a double‐lattice form , of selective linear phase digital filters. It is shown that these filters are optimum in the sense that all available degrees of freedom are used in adjusting the filter parameters to meet the specified characteristics. The designed filters, apart from satisfying the linear phase requirement, exhibit equiripple loss response over both the pass‐ and stopbands. A novel computationally efficient method based on computing the complex cepstrum is proposed for the construction of orthogonal double‐lattice structures that realize the designed filters. It is based on the important property of cepstrum functions, namely decomposing mixed sequences into both minimum and maximum phase sequences. Illustrative examples are given to support the theoretical analysis. © 1997 John Wiley & Sons, Ltd.