EXAMPLE 7.2 Consider the two equally-likely signals s1 (t) and s2(t) that are transmitted, over an AWGN channel with the noise power spectral density of No/2, to represent bits 1 and 0, where we have: S1(t)=-S2(t)=√√2 exp(-2t)u(t) The receiver makes its decision solely based on observation of the received signal over a restricted interval of interest. Determine the average bit error rate in terms of Q-function, assuming the interval is [0,3]. Contrast numerically with the performance of an optimum receiver that observes. all the received signal, i.e., the interval of interest is (-∞, ∞). EXAMPLE 7.4 An input bit sequence consisting of 100111000 is applied to a DBPSK system. Determine the cor- responding transmitted bits, and show how the phase comparison can be used to determine the output sequence.

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