extra 6 - FSK Receiver r(t) sin(2f1t) z1 z comparison...

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1 FSK Receiver Suppose that the transmitted signal is sin(2 π f 1 t ). Assuming that pulse duration= τ . Then without noise z 1 = sin 2 (2 π f 1 t ) dt = 0.5 z 2 = sin (2 π f 1 t ) sin(2 f 2 t ) dt = 0.5 (cos(2 π( f 1 - f 2 ) t )+cos(2 f 1 +f 2 ) t )) dt 0 Question: (1) What are z 1 and z 2 with noise? (2) Devise a technique to make the optimal decision.
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