Question: A transmitter sends a signal X and a receiver makes the observation Y = X + Z, whare Z is a receiver noise that is

A transmitter sends a signal X and a receiver makes the observation Y = X + Z, whare Z is a receiver noise that is independent of X and E[X] = E[Z] = 0.
Since the average power of the signal is E[X2] and the average power of the noise is E[Z2], a quality measure for the received signal is the signal - to - noise ratio

How is T related to the correlation coefficient PX,Y?

E X2 E [22]

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Since EY EX EZ 0 we know that VarY E Y 2 VarX E X 2 V0arZ E Z 2 1 Cov XY EXY E XX Z E X 2 E XZ 2 Si... View full answer

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