Response to the following problem:
The channel matrix in an NT = NR = 2 MIMO system with AWGN is
H = [0.4 0.5]
[0.7 0.3]
a. Determine the SVD of H.
b. Based on the SVD of H, determine an equivalent MIMO system having two independent channels, and find the optimal power allocation and channel capacity when H is known at the transmitter and the receiver.
c. Determine the channel capacity when H is known only at the receiver.