Performance Analysis of Free-Space Optical Links Over Malaga (M) Turbulence Channels With Pointing Errors

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Ansari I. S., Yilmaz F., Alouini M.

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, vol.15, no.1, pp.91-102, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1109/twc.2015.2467386
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.91-102
  • Keywords: Free-space optical (FSO) communications, optical wireless communications, pointing errors, Lognormal turbulence channels, Gamma-Gamma turbulence channels, Malaga (M) turbulence channels, outage probability (OP), binary modulation schemes, bit error rate (BER), symbol error rate (SER), scintillation index (SI), ergodic capacity, Meijer's G function, WIRELESS COMMUNICATION-SYSTEMS, AVERAGE CAPACITY, BER PERFORMANCE, COHERENT, TRANSMISSION, MODULATION, SELECTION, NETWORKS
  • Yıldız Technical University Affiliated: Yes


In this work, we present a unified performance analysis of a free-space optical (FSO) link that accounts for pointing errors and both types of detection techniques [i.e., intensity modulation/direct detection (IM/DD) and heterodyne detection]. More specifically, we present unified exact closed-form expressions for the cumulative distribution function, the probability density function, the moment generating function, and the moments of the end-to-end signal-to-noise ratio (SNR) of a single link FSO transmission system, all in terms of the Meijer's G function except for the moments that is in terms of simple elementary functions. We then capitalize on these unified results to offer unified exact closed-form expressions for various performance metrics of FSO link transmission systems, such as the outage probability, the scintillation index (SI), the average error rate for binary and M-ary modulation schemes, and the ergodic capacity (except for IM/DD technique, where we present closed-form lower bound results), all in terms of Meijer's G functions except for the SI that is in terms of simple elementary functions. Additionally, we derive the asymptotic results for all the expressions derived earlier in terms of Meijer's G function in the high SNR regime in terms of simple elementary functions via an asymptotic expansion of the Meijer's G function. We also derive new asymptotic expressions for the ergodic capacity in the low as well as high SNR regimes in terms of simple elementary functions via utilizing moments. All the presented results are verified via computer-based Monte-Carlo simulations.