1. A set of M equally likely signals is defined by , where is a known deterministic signal and the are amplitudes that are used to distinguish the different signals (and, hence, carry information). The allowed amplitudes are the members of the set { -(M-1)d, -(M-3)d, . . . , -3d, -d, d, 3d, . . . , (M-3)d, (M-1)d }. For example, if , the amplitudes are {-7d, -5d, -3d, -d, d 3d 5d 7d }. This scheme is called Pulse Amplitude Modulation (PAM). Draw the diagram of an optimum receiver using only one correlator (or one matched filter). Include the demodulator part and the detector part. Start with the optimum receiver structure at the end of lecture 1 for the specific signals used in this problem, and then show that it can be implemented using only one correlator. 2.In M-Ary phase modulation, a set of M equally likely signals is defined on the interval 0=<t=<T by Sm(t)=Acos{Wot+(2pi/M)m} m=0,1,2,....,M-1 where Wo is a known carrier frequency, and the index,m, determines the phases that are used to distinguish the different signals (and, hence, carry information). Draw the diagram of an optimum receiver using only two correlators (or two matched filters). Include the demodulator part and the detector part. Hint: cos{Wot+(2pi/M)m}=cos{(2pi/M)m}﹡cos{Wot}-sin{(2pi/M)m}﹡sin{Wot} show that it can be implemented using only two correlators. 請教版上各位大大，作題目遇到這兩題不會，請問要怎樣作呢謝謝~ --

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