The Optimum Discrete Approximation of FIR Filter Banks Realizing the Minimum Worst-Case Measures of Error

摘要

Extended interpolatory approximation is discussed for some classes of signals expressed by the finite sum of sinusoidal signals in the time domain. We assume that these signals have weighted norms smaller than a given positive number. The presented method has the minimum measure of approximation error among all the linear and the nonlinear approximations using the same measure of error and generalized sample values.