EE620-homework_02

EE620-homework_02 - EE620: MIMO Wireless Communications...

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Unformatted text preview: EE620: MIMO Wireless Communications Homework 2 (due on Mar. 17, before the class) Consider a MIMO system with M t = 2 transmit and M r = 1 receive antennas. It uses a set of two ST signals: C = 1 1- 1 1 , C 1 = - 1- 1 1- 1 . The transceiver signal can be modeled as: y 1 y 2 = r M t C h 1 h 2 + 1 2 , (1) where C is either C or C 1 , y 1 and y 2 are received signals at time slots 1 and 2 respectively, h 1 and h 2 are channel coefficients from the two transmit antennas to the receive antenna respectively, and 1 and 2 are noise. The channels h 1 and h 2 are modeled as independent complex Gaussian random variables with mean zero and variance one, i.e., CN (0 , 1). Assume that the channel is quasi-static, i.e., h 1 and h 2 do not change in one block (codeword or signal matrix) transmission, and they change from one block to another independently. The noise 1 and 2 are also modeled as CN (0 , 1)....
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