Determine the correlator output assuming a noiseless input-


Consider the optimum detection of the sinusoidal signal in AWGN:

1781_Equation.jpg

a. Determine the correlator output assuming a noiseless input.

b. Determine the corresponding matched filter output, assuming that the filter includes a delay T to make it causal.

c. Hence, show that these two outputs are exactly the same only at the time instant t = T.

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