Average Worst-Case PEP Optimality of Repetition Coding among Rate-1 DC-Offset STBCs for MIMO Optical Intensity Channels

Anas Chaaban, Yerzhan Sapenov, Zouheir Rezki, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.
Original languageEnglish (US)
Pages (from-to)6409-6422
Number of pages14
JournalIEEE Transactions on Communications
Volume66
Issue number12
DOIs
StatePublished - Aug 22 2018

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