Abstract

Wiener filters are often used for the restoration of images embedded in additive noise. However, it is often desirable to have a simpler filter structure that is easily implemented and performs well. In this paper we present the necessary conditions for a filter with an optimum piecewise-constant frequency-response function. Such a filter has a simpler implementation than the Wiener filter, and, in general, it suffers only a small loss in mean-square-error performance, as is illustrated in numerical examples.

© 1981 Optical Society of America

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