Abstract

The optimum spatial filter for the detection of randomly located patterns is discussed. When the signal-to-noise (S/N) ratio is low, the optimum filter is described by the product of the Fourier transform of the probability distribution describing the signal location and the conjugate of the signal spatial spectrum divided by the noise spectral density. The fabrication of such a filter is described. Other cases discussed are those of high S/N ratio and uniform probability distribution.

© 1971 Optical Society of America

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