Theory of the optimum discrete running approximation of multi-dimensional approximately band-limited signals
Yuichi Kida, Takuro Kida · 2009
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.