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.
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Vijaya Kumar
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Brasher