ECE 6604 Midterm: ECE 6604 GT Examf14

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Tuesday december 9, 8:00am - 10:50pm: attempt all questions, all questions are of equal value, open book, open notes, exam, the scattering function for a wssus channel is given by. Gaussian random variables, i. e. , e[wi,jwi,k] = 2 jk, i = 1, 2, where. 1, j (cid:4)= k j = k: 7 marks: derive the discrete autocorrelation function. Gi gi (n) = e[gi,kgi,k+n: 3 marks: derive the discrete cross-correlation function. Gi gq(n) = e[gi,kgq,k+n: suppose that an uncorrelated binary data sequence is transmitted by using binary. Psk (bpsk) with a root-gaussian amplitude shaping pulse. S(t) = a(cid:5)n xnha(t nt ) , where xn { 1, +1} and ha(t) is the amplitude shaping pulse. The data sequence {xn} is correlated such that. E[x kxk+n] = |n| : 10 marks: derive the power density spectrum of the complex envelope, s s s(f ), consider alamouti"s transmit diversity scheme. The receiver diversity combiner for 2 2 transmit diversity is given by.

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