TY - GEN
T1 - Error Exponent for Nakagami-m Fading Massive MIMO Channels
AU - Hu, Zhengyang
AU - Zhao, Haixia
AU - Xue, Jiang
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/11
Y1 - 2020/12/11
N2 - In this paper, we analytically investigate the closed form of error exponent expression for Orthogonal Space-Time Block Coded (OSTBC) Nakagami-m fading massive multiple input multiple output (MIMO) channels with Gaussian input. We assume that the transmitter has no channel state information (CSI) and full CSI at the receiver. We study an elementary tradeoff between the communication reliability and information rate of the OSTBC Nakagami-m fading massive MIMO channels by the derived expression which is approached by the Hankel determinant in terms of Painlevé differential equations. It can be used to find the necessary codeword length to achieve a prescribe error probability at a given rate below the channel capacity. Moreover, we derive the approximation expressions for the Gallager's random coding error exponent, expurgated error exponent and cutoff rate based on Coulomb fluid linear statistics methods. Numerical approximation results are presented and verified via the exact analytical results.
AB - In this paper, we analytically investigate the closed form of error exponent expression for Orthogonal Space-Time Block Coded (OSTBC) Nakagami-m fading massive multiple input multiple output (MIMO) channels with Gaussian input. We assume that the transmitter has no channel state information (CSI) and full CSI at the receiver. We study an elementary tradeoff between the communication reliability and information rate of the OSTBC Nakagami-m fading massive MIMO channels by the derived expression which is approached by the Hankel determinant in terms of Painlevé differential equations. It can be used to find the necessary codeword length to achieve a prescribe error probability at a given rate below the channel capacity. Moreover, we derive the approximation expressions for the Gallager's random coding error exponent, expurgated error exponent and cutoff rate based on Coulomb fluid linear statistics methods. Numerical approximation results are presented and verified via the exact analytical results.
KW - Massive MIMO
KW - OSTBC Nakagami-m fading MIMO channel
KW - Painlevé transcendent
KW - Random coding error exponent
UR - https://www.scopus.com/pages/publications/85101703333
U2 - 10.1109/ICCC51575.2020.9345091
DO - 10.1109/ICCC51575.2020.9345091
M3 - 会议稿件
AN - SCOPUS:85101703333
T3 - 2020 IEEE 6th International Conference on Computer and Communications, ICCC 2020
SP - 59
EP - 63
BT - 2020 IEEE 6th International Conference on Computer and Communications, ICCC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 6th IEEE International Conference on Computer and Communications, ICCC 2020
Y2 - 11 December 2020 through 14 December 2020
ER -