Average Worst-Case PEP Optimality of Repetition Coding among Rate-1 DC-Offset STBCs for MIMO Optical Intensity Channels
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Online Publication Date2018-08-22
Print Publication Date2018-12
Permanent link to this recordhttp://hdl.handle.net/10754/628771
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AbstractAn 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.
CitationAverage Worst-Case PEP Optimality of Repetition Coding among Rate-1 DC-Offset STBCs for MIMO Optical Intensity Channels (2018). IEEE Transactions on Communications: 1–1. Available: http://dx.doi.org/10.1109/TCOMM.2018.2866542.
SponsorsHis work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).