In the on-off keying version of an ASK system, symbol 1 is represented by transmitting a sinusoidal

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In the on-off keying version of an ASK system, symbol 1 is represented by transmitting a sinusoidal carrier of amplitude ?2Eb/Tb, where Eb is the signal energy per bit and Tb is the bit duration. Symbol 0 is represented by switching off the carrier. Assume that symbols 1 and 0 occur with equal probability. For an AWGN channel, determine the average probability of error for this ASK system under the following scenarios:

(a) Coherent reception.

(b) Non-coherent reception, operating with a large value of bit energy-to-noise spectral density ratio Eb /N0.

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