M. Abozahhad et al., SYNTHESIS OF IIR DIGITAL-FILTERS EXHIBITING SIMULTANEOUS AMPLITUDE AND PHASE RESPONSES FOR VLSI IMPLEMENTATIONS, International journal of circuit theory and applications, 25(1), 1997, pp. 1-14
A method is described for the design and implementation, in a double-l
attice form, of selective linear phase digital filters. It is shown th
at these filters are optimum in the sense that all available degrees o
f freedom are used in adjusting the filter parameters to meet the spec
ified 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 base
d on computing the complex cepstrum is proposed for the construction o
f orthogonal double-lattice structures that realize the designed filte
rs. It is based on the important property of cepstrum functions, namel
y decomposing mixed sequences into both minimum and maximum phase sequ
ences. Illustrative examples are given to support the theoretical anal
ysis. (C) 1997 John Wiley & Sons, Ltd.