In other words, although the number of antennas in relay is larger than that in transmitter and receiver, the capacity of MIMO relay system cannot exceed the capacity of original MIMO system [7 10].
For a SISO fading channel with perfect knowledge of the channel at the receiver, the capacity of a SISO link is given as C= log2(1+ρ).
More specifically, we observe Thet for a stream with a largertheate, foreceiverl buffer, the energy saving capacityinly from the transooneron energy component, while for lalle buframesizes, the savings cofes mainly from the receiving energy component.
By supposing no channel knowledge at transmitters and successive decoding at receiver, the capacity of the weak user increases and its outage probability decreases with the increment of extra antennas at the receiver end.
When the number of antennas in relay is less than the number of antennas in the transmitter and receiver, the capacity of MIMO relay system is lower than that of the original MIMO system.
For a instantaneous channel state information (CSI) which is known at the receiver, the capacity region of the M-user MAC can be written as following [23]: ∑ i ∈ S R i < I ( X S ; Y | X S c, H = H ) for all S ⊆ { 1, 2, ⋯, M } (1).
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We remark that, since there is no cooperation between receivers, the capacity region for this channel is the same as the one with the same marginal outputs p ( y 1 n | x 1 n, x 2 n, x 3 n ) and p ( y 3 n | x 1 n, x 2 n, x 3 n ).
Moreover, we can see that due to the degradedness condition in (29), treating interference as noise at the primary receiver (Rx1) achieves capacity.
As described in [7, 8], in the system with only one transmitter and one receiver, the channel capacity is described as follows.
