Abstract

In this paper, the phase equalization problem for continuous-time us well as for 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. In a first step 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 in Sec. 4.2 of the paper.

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