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For a set of signals that each signal is defined by means of a certain spectrum-vector composed of a finite number of extended Fourier transforms of component waves, one of the authors presents an extended optimum approximation but a running approximation is not treated. In this paper, we show the outline of the result given in as a premise of the arguments, firstly. Then, under the conditions that...
In this paper, we present an n-dimensional running discrete approximation that minimizes various worst-case measures of error, simultaneously. We derive continuous space-limited n-dimensional interpolation-functions satisfying condition that is called discrete orthogonality. Then, we present a set of signals that satisfies two conditions of the optimum approximation.
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