Entwurf minimalphasiger nichtrekursiver digitaler Filter mit Verfahren der nichtlinearen Optimierung

Abstract

The design of minimum-phase nonrecursive digital filters in the Chebyshev sense with respect to prescriptions on the magnitude response has been frequently discussed already. This filters make the best of given tolerance schemes of magnitude response at minimum degree and offer minimum signal delay. Both characteristics let the minimum phase filters be superior to linear phase filters at some distinct applications. Commonly, for some special characteristics, the filters will be designed indirectly via the design of a related linear phase filter from which the desired minimum-phase filter will be separated. Alternatively, we propose nonlinear optimization which then allows solutions of more general and constrained design problems. In this connection, the design problems will be discussed in view of optimization. Three numerical examples demonstrate the advantages of optimization for the task of designing this interesting class of digital filters where we care much about the easy application of available general purpose optimization software.