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Consider the binary digital data transmission system illustrated in Fig. A.1, in which the transmitted signals representing binary bits 1 and 0 are s(t) and the absence of s(t), respectively. It is assumed that the signal duration is T seconds. The receiver consists of a linear filter with an impulse response h(t) of duration T, a sampler that samples the output of the filter at a bit rate of R = 1/T , and a one-bit quantizer, as shown in Fig. A.2. The output of the quantizer is an estimate of the transmitted binary bit.
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