Optimum Reception of M-ary Gaussian Signals in Gaussian Noise

01 November 1965

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Before we formulate the general problem of optimum reception of M-ary signals in noise, let us review a simplified version of the classical problem: optimum reception of M-ary sure signals in Gaussian noise. Suppose there are M sure signals mk{t), k = 1, · · · , M, with a priori probabilities ak·, 0