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homework4 - Stochastic Processes nctuee07f Homework 4 Due...

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Stochastic Processes nctuee07f Homework 4 Due on 12/25/2007 , Tuesday, in class Reading assignments: 1. Sec. 6.1 Sec. 6.7, textbook. 2. Sec. 7.1 Sec. 7.6, textbook. Problem assignments: 1. Consider a multiple access wireless system with N mobile users. At the base-station, M antennas are equipped to achieve a more reliable receiving of the signals transmitted from N mobile users. The base-station tries to detect the symbols transmitted by each of the users using the received signals from the multiple antennas. Let h ij be the channel gain from user i to the j th antenna. At the j th antenna, the received signal Y j is corrupted by N (0 , σ 2 ) additive Gaussian noise Z j , independent across the antennas. The transmitted symbol X i from user i is equally likely to be - 1 or 1, independent among all users and independent of the noise. Furthermore, we assume the base-station has the knowledge of h ij for all i, j . (a) An explicit mathematical model that describes the relation between the received signal Y j and transmitted X i
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