Problem 4 Assume that A 0 <1 < T A T < < 21" 510?
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eesm5536.jpgProblem 4 Assume that

sw=ffc, ostst, and $20=fe, ists2r. (0, otherwise otherwise are known signals in the presence of additive white Gaussian noise. (a) Design a matched filter for the two signals, and give the general block diagram for the matched filter implementation of the optimum receiver. (b) Sketch the waveform at the output of the matched filter. (c) Now assume that a correlation detector is used instead. Give the general block diagram for the correlator receiver implementation of the optimum receiver. (d) Sketch the waveform at the output of the correlation detector. What is the signal dimension and appropriate basis function for the modulation?

eesm5536.jpg

Problem 4 Assume that
A 0 <1 < T A T < < 21"
510?): Tt’ ‘t— . and $20): rt’ ‘t— .
0. otherwise 0, otherwise are known signals in the presence of additive white Gaussian noise. (a) Design a matched filter for the two signals, and give the general block diagram for the matched filter
implementation of the optimum receiver. (b) Sketch the wavefonn at the output of the matched filter. (0) Now assume that a correlation detector is used instead. Give the general block diagram for the correlator
receiver implementation of the optimum receiver. (d) Sketch the waveform at the output of the correlation detector. What is the signal dimension and
appropriate basis function for the modulation?

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