Design problems for nonrecursive digital filters

The four main design problems for nonrecursive digital filters in the frequency domain are properly formulated as approximation problems and studied in regard to the existence of solutions and the convergence of the approximation errors. These are the problems of approximating a frequency response and a magnitude response and the problems of simultaneously approximating a magnitude and phase response and a magnitude response and group delay respectively. Linear-phase filters are considered separately. The errors are measured by an arbitrary L"p-resp. l"p-norm, 1#<=#p#<=##infinity#, and constraints on the filter coefficients are permitted. (orig.)Available from TIB Hannover: RR 7760(1997,4) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman