Abstract
The performance of a binary digital system in the presence of an uncorrelated Gaussian variable is considered here. The mean square value or expectation of the uncorrelated variables has zero mean and square root of spread of the distributed function with respect to these variables is variance of the noise components. On the basis of linear combination of two received signals one have to detect the value of controlled parameter, k optimally so that the probability of error should be minimized in the total binary communication system.
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