Relationship between maximizing the signal-to-noise ratio and minimizing the classification error probability for correlation filters

Abstract

For some correlation filters, maximizing the signal-to-noise ratio is equivalent to minimizing the probability of classification error (P_e) when the underlying probability distribution functions are Gaussian. For other filters, maximizing the signal-to-noise ratio does not automatically minimize P_e, so both should be considered separately when optimizing filter performance.

© 1992 Optical Society of America

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