1. Problems MIMO transceivers Adaptive Antenna Systems Persefoni Kyritsi November 18, 2010

2. Transmission techniques for MIMO Spatial multiplexing ZF receiver BLAST receiver Eigenmode transmission

3. Problem 0 From slide 6 (Slides_transceivers): ompute the covariance matrix of:

4. Problem 1 What is the matrix that a ZF, MMSE receiver would use? What is the post-processing SNR of both streams? Assume you send What are the detector decisions?

5. Problem 2 What is the matrix that a ZF, MMSE receiver would use? What is the post-processing SNR of both streams Assume you send What are the detector decisions? Why?

6. Problem 3 Do Problem 2 assuming a V-BLAST receiver. Comment on the results

7. Problem 4 Find the eigenvectors and the eigenchannels of the channel transfer matrices in problem 1 and 2. What is the difference?

8. Problem 5 MISO System. Consider a MISO channel with two transmit antennas. The channel from the first transmit antenna to the receiver is h 1 and the channel from the second transmit antenna is h 2. A signal s is to be transmitted. The average power available to the transmitter is P, i.e., E{|s| 2 } = P. The noise power at the receiver is N 0. Assume for now that h 1 = h 2 = 1. If we transmit simultaneously from each transmit antenna what is the total transmit power? What is the SNR at the receiver? What is the array gain? (How does this compare to the SISO case where we transmit s from just one antenna and 0 from the other?) Now if h 1 and h 2 = −1 and we were to transmit from each antenna, what is the array gain? If h 1 = 1 and h 2 = −1 is transmit array gain possible? What does this imply about the requirement of channel knowledge at the transmitter to exploit transmit array gain?