RELATIONSHIP BETWEEN MAXIMIZING THE SIGNAL-TO-NOISE RATIO AND MINIMIZING THE CLASSIFICATION ERROR-PROBABILITY FOR CORRELATION FILTERS

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.