(Spatial sampling) Consider a MIMO system with Lt = Lr = 2 in a channel with M = 10 multipaths. The ith multipath makes an angle of iLlcp with the transmit array and an angle of iLlcp with the receive array where Llcp = 1r/M.
1. Assuming there are nt transmit and nr receive antennas, compute the channel matrix.
2. Compute the channel eigenvalues for nt = nr varying from 4 to 8.
3. Describe the distribution of the eigenvalues.