Abstract
AbstractIn the fields of signal transmission and its processing, compensation of phase or group delay distortion is an important problem.This paper proposes an approximation method of group delay characteristic of one‐dimensional (1‐D) and 2‐D discrete‐time systems using an extended equation error function as its performance index. Since the phase approximation problem is inherently nonlinear, some iterative approaches have been proposed. Its disadvantage is in the increase of the amount of computation.Another method to transform group delay approximation problem to power spectrum approximation problem is presented. This indirect approach leads to the minimum squared error problem which is easily solved but does not yield a satisfactory result.In the first part of this paper, the 1‐D group delay approximation problem is formulated to a linear problem in group delay domain. Then we apply the quasi‐least mean squared method to it. In the latter part of this paper, the 1‐D method is extended to the 2‐D group delay approximation problem. Some examples are shown to verify the effectiveness of the method.
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