Design and Realization of Efficient IIR Digital Filter Structures Based on Sensitivity Minimizations

It is shown in this paper how sensitivity minimization over specific frequency ranges and even only for several frequencies in the case of narrow-band filters permits a usage of a very short coefficient word-length, leading to a higher accuracy, lower power consumption and simple multiplierless implementation. Similar results are obtained for variable and complex digital filters, for fractional delay filter realizations and for adaptive real and complex filters. The proposed methods and procedures are verified experimentally. They are simple and easily applicable in the standard engineering design and they do not require complicated optimizations.