TY - GEN
T1 - Random coding exponent for MIMO channels
AU - Sarkar, Md Zahurul I.
AU - Shin, Hyundong
AU - Win, Moe Z.
PY - 2008
Y1 - 2008
N2 - We derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight into a fundamental tradeoff between the communication reliability and information rate of MIMO channels, enabling to determine the required codeword length to achieve a prescribed error probability at a given rate below the channel capacity. We quantify the effects of the number of antennas, channel coherence time, and spatial fading correlation on the MIMO exponent. In addition, the general formulae for the ergodic capacity and the cutoff rate in the presence of spatial correlation are deduced from the exponent expressions. These formulae are applicable to arbitrary structures of transmit and receive correlation, encompassing all the previously known results as special cases of our expressions.
AB - We derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight into a fundamental tradeoff between the communication reliability and information rate of MIMO channels, enabling to determine the required codeword length to achieve a prescribed error probability at a given rate below the channel capacity. We quantify the effects of the number of antennas, channel coherence time, and spatial fading correlation on the MIMO exponent. In addition, the general formulae for the ergodic capacity and the cutoff rate in the presence of spatial correlation are deduced from the exponent expressions. These formulae are applicable to arbitrary structures of transmit and receive correlation, encompassing all the previously known results as special cases of our expressions.
UR - https://www.scopus.com/pages/publications/47749086332
U2 - 10.1109/VETECS.2008.126
DO - 10.1109/VETECS.2008.126
M3 - Conference contribution
AN - SCOPUS:47749086332
SN - 9781424416455
T3 - IEEE Vehicular Technology Conference
SP - 559
EP - 563
BT - 2008 IEEE 67th Vehicular Technology Conference-Spring, VTC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 67th IEEE Vehicular Technology Conference, VTC 2008-Spring
Y2 - 11 May 2008 through 14 May 2008
ER -