Matrix analysis
Topics in matrix analysis
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Convex Optimization
Tunable Channel Decomposition for MIMO Communications Using Channel State Information
IEEE Transactions on Signal Processing
Receive antenna selection for MIMO spatial multiplexing: theory and algorithms
IEEE Transactions on Signal Processing
Fast antenna subset selection in MIMO systems
IEEE Transactions on Signal Processing
Capacity of MIMO systems with antenna selection
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Receive antenna selection for MIMO flat-fading channels: theory and algorithms
IEEE Transactions on Information Theory
Lattice coding and decoding achieve the optimal diversity-multiplexing tradeoff of MIMO channels
IEEE Transactions on Information Theory
STBC-schemes with nonvanishing determinant for certain number of transmit antennas
IEEE Transactions on Information Theory
Approximately universal codes over slow-fading channels
IEEE Transactions on Information Theory
Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff
IEEE Transactions on Information Theory
Perfect Space–Time Block Codes
IEEE Transactions on Information Theory
Outage Theorems for MIMO Block-Fading Channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Diversity and Multiplexing Tradeoff in General Fading Channels
IEEE Transactions on Information Theory
Antenna selection in MIMO systems
IEEE Communications Magazine
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The large gain promised by the multi-input multi-output (MIMO) technology comes with a cost. In particular, multiple analog radio frequency (RF) chains, which are expensive and power consuming, are required at both the transmitter and receiver sides. On the other hand, the antennas connecting to the RF chains are less expensive. Hence, one engineering compromise is to implement more antennas than RF chains and to use only a subset of them based on some antenna selection (AS) algorithm. An interesting question therefore arises: given a RF chain limited MIMO system, what is the fundamental performance gain by adding more antennas? In this two-part paper, we answer this question by using the diversity-multiplexing (D-M) gain tradeoff metric. Consider a Rayleigh fading channel with Mt antennas and Lt (Lt ≤ Mt) RF chains at the transmitter while Mr antennas and Lr (Lr ≤ Mr) RF chains at the receiver. We obtain the fundamental D-M tradeoff as a function of Mt, Mr, and min(Lr, Lt). Referring to the special case where Lt = Mt and Lr = Mr as the RF unlimited system (or full system) and RF limited system (or pruned system) otherwise, we prove that the pruned system with optimal channel-dependent AS has the same D-M tradeoff as the full system if the multiplexing gain is less than some integer threshold P, while it suffers from some diversity gain loss for multiplexing gains larger than P. In particular, if min(Lr, Lt) = K = min(Mr, Mt), then P = K, i.e. the D-M tradeoffs of the pruned system and the full system are the same. Moreover, this result can be extended to more general fading channels such as Nakagami channel. A fast and D-M tradeoff-optimal AS algorithm is proposed as a byproduct of our analysis.