In the on-off keying version of an ASK system, symbol 1 is

In the on-off keying version of an ASK system, symbol 1 is represented by transmitting a sinusoidal carrier of amplitude v2Eb/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.