The Use of Multiple Criterion Optimization in Digital Filter Design

435 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.This research explores for the first time the practical applicability of multiple criterion optimization techniques to digital filter design. The potential role of multiple criterion optimization in digital filter design seems rather promising as the examples of Chapter 7 illustrate.The filter design problem specifically considered in the thesis is the simultaneous design in magnitude and group-delay of digital transfer functions. Several classes of filters, namely causal and non-causal recursive filters, non-linear phase FIR filters are considered. Examples of the optimal trade-off filters and optimal magnitude versus group-delay trade-offs (called non-inferior surfaces) are presented.Particularly interesting are the results obtained for the non-causal recursive filters.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD