A computationally efficient near-optimal algorithm for capacity-maximization based joint transmit and receive antenna selection

Antenna selection for MIMO systems using biogeography based optimization

“…Values for each scenario are shown in Table II. Taking into consideration the number of channel realizations executed in [14], and in order to ensure that we included a vast variety of them, we executed a Monte Carlo simulation consisted of 10.000 channel realizations, in total.…”

Sub-Modularity and Antenna Selection in MIMO Systems

“…Thus, in light of Theorem 1, and the sub-modularity of the objective function in the receive antenna selection problem (Theorem 4), a greedy algorithm (found in [6], [7]) that selects L out of the N r receive antennas is as follows.…”

“…By making use of results available in the approximation algorithms literature, we have been able to justify the use of greedy approaches for receive antenna selection and derive a lower bound on their performance. Prior work on finding the optimal antenna subset includes the greedy algorithm [1], [6], [7], however, provides only simulation results with no theoretical bounds. The simulated performance of a greedy algorithm in [1], [6], [7] is close to the optimal, and hence better than the theoretical result we have derived.…”

“…T RANSMIT/RECEIVE antenna selection for point-topoint multiple input multiple output (MIMO) channels is a topic that has been extensively studied in literature, see [1]- [7] and references therein. 1 With transmit (receive) antenna selection, a subset of the total number of transmit (receive) antennas is chosen for maximizing various performance metrics such as capacity, reliability or diversity gain and several others.…”

“…For a sufficiently large number of transmit/receive antennas (e.g., massive MIMO applications [13]), a brute-force search is too expensive, and not withstanding the fact that it needs to be done periodically for every coherence interval. There are a large number of papers on reduced-complexity antenna selection algorithms [1], [5]- [7], however, most of them do not provide any theoretical guarantees on the performance of the algorithm. The same holds true for the relay antenna selection algorithms [8]- [11].…”