TY - JOUR
T1 - Average Worst-Case PEP Optimality of Repetition Coding among Rate-1 DC-Offset STBCs for MIMO Optical Intensity Channels
AU - Chaaban, Anas
AU - Sapenov, Yerzhan
AU - Rezki, Zouheir
AU - Alouini, Mohamed-Slim
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: His work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).
PY - 2018/8/22
Y1 - 2018/8/22
N2 - An optical wireless intensity-modulation directdetection multiple-input multiple-output communication system is considered. The performance of M-PAM rate-1 direct current offset space-time block codes is studied in terms of average worst-case pairwise error probability (WC-PEP) in quasi-static channels. It is shown that within this code class, the average WC-PEP is minimized by repetition coding (RC) under both electrical and optical individual power constraints, irrespective of channel statistics. This agrees with previously published results related to on-off keying RC. This is further extended to sum power constraints, where it is shown that spatial beamforming minimizes the average WC-PEP within this code class, which simplifies to RC if the channel matrix has independent and indentically distributed columns and a sum electrical power constraint. Under a sum optical power constraint, this also holds true at high signal-to-noise ratio (SNR), but not at low SNR. Generally, the time dimension of this code class is redundant from an average WC-PEP perspective. Numerical results are provided to support the theoretical findings and to show that the average WC-PEP leads to a good approximation of the actual error probability at high SNR.
AB - An optical wireless intensity-modulation directdetection multiple-input multiple-output communication system is considered. The performance of M-PAM rate-1 direct current offset space-time block codes is studied in terms of average worst-case pairwise error probability (WC-PEP) in quasi-static channels. It is shown that within this code class, the average WC-PEP is minimized by repetition coding (RC) under both electrical and optical individual power constraints, irrespective of channel statistics. This agrees with previously published results related to on-off keying RC. This is further extended to sum power constraints, where it is shown that spatial beamforming minimizes the average WC-PEP within this code class, which simplifies to RC if the channel matrix has independent and indentically distributed columns and a sum electrical power constraint. Under a sum optical power constraint, this also holds true at high signal-to-noise ratio (SNR), but not at low SNR. Generally, the time dimension of this code class is redundant from an average WC-PEP perspective. Numerical results are provided to support the theoretical findings and to show that the average WC-PEP leads to a good approximation of the actual error probability at high SNR.
UR - http://hdl.handle.net/10754/628771
UR - https://ieeexplore.ieee.org/document/8444466/
UR - http://www.scopus.com/inward/record.url?scp=85052703007&partnerID=8YFLogxK
U2 - 10.1109/TCOMM.2018.2866542
DO - 10.1109/TCOMM.2018.2866542
M3 - Article
SN - 0090-6778
VL - 66
SP - 6409
EP - 6422
JO - IEEE Transactions on Communications
JF - IEEE Transactions on Communications
IS - 12
ER -