Title :
Arbitrarily tight phase approximation: mathematical feasibility proof
Author :
Kummert, Anton ; Fettweis, Alfred
Author_Institution :
Lehrstuhl fur Nachrichtentech., Ruhr-Univ., Bochum, West Germany
Abstract :
The phase-equalization problem for continuous-time and discrete-time linear systems is considered from a theoretical point of view. The purpose is thus not to present an efficient algorithm for solving this problem in practice, but to offer a mathematical proof that an arbitrarily tight approximation of the linear phase behavior in any given finite frequency interval is always feasible. It is shown that the problem can be reduced to the equalization of the phase of a real first-order all-pass section. This simplified problem is investigated
Keywords :
discrete time systems; linear network synthesis; linear systems; transfer functions; algorithm; arbitrarily tight phase approximation; continuous time systems; discrete-time linear systems; linear communication system; linear phase behavior; mathematical feasibility proof; phase-equalization problem; real first order all-pass circuit; transfer function; Approximation error; Attenuation; Circuits; Communication systems; Delay; Frequency; Linear systems; Linearity; Polynomials; Transfer functions;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112160
