Consider a binary orthogonal signalling system where Eb
denotes the energy for each of the waveforms. The two signals are thus defined
a. Assuming that s1 was transmitted in an AWGN channel with
zero mean and noise variance N0/2, write down the observation vector, x = (x1
x2), at the output of the demodulator.
b. Write down the pdfs of x1 and x2.
c. Determine the probability of error when s1 and s2 was
transmitted. Determine the total probability of error, assuming that s1 and s2
d. Determine the total probability of error when s1 and s2
are defined as below.
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