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 ρ M t C • h 1 h 2 ‚ + • η 1 η 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 η 1 and η 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 η 1 and η 2 are also modeled as CN (0 , 1)....
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