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Performance Analysis of Free-Space Optical Links Over Málaga ($\mathcal{M}$) Turbulence Channels with Pointing Errors (1805.05572v1)

Published 15 May 2018 in cs.IT, cs.PF, and math.IT

Abstract: 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) as well as 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.

Citations (322)

Summary

  • The paper derives unified closed-form expressions using Meijer’s G function for analyzing FSO link performance under Málaga turbulence and pointing errors.
  • These expressions enable the analysis of various performance metrics like outage probability, error rates, and capacity, providing insights into detection techniques.
  • The theoretical analysis and results facilitate improved FSO system design and optimization, particularly for urban environments with pointing errors.

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

The research paper provides a comprehensive analysis of free-space optical (FSO) communication links that encounter Málaga (M) turbulence channels, inclusive of pointing errors. The paper's primary objective is to offer unified performance metrics by developing exact closed-form expressions using Meijer’s G function, thus laying a solid foundation for assessing the performance of FSO systems under various atmospheric turbulence conditions.

Key Contributions and Findings

The authors present a unified analysis encompassing both main detection techniques - Intensity Modulation/Direct Detection (IM/DD) and heterodyne detection. Specific contributions of the paper include:

  • Unified Exact Closed-Form Expressions: The paper derives exact closed-form expressions for various statistical measures such as the probability density function (PDF), cumulative distribution function (CDF), moment generating function (MGF), and moments of the end-to-end signal-to-noise ratio (SNR). These are primarily expressed in terms of Meijer’s G function, except for moments which are expressed in elementary functions. These unified results are further utilized to derive performance metrics like outage probability, scintillation index, average error rate for binary and M-ary modulation schemes, and ergodic capacity.
  • Asymptotic Analysis: High and low SNR regime asymptotic expansions are conducted, leading to simpler expressions underpinned by elementary functions. Notably, these asymptotic results yield insights into both the ergodic capacity and diversity order, which are pivotal metrics for designing robust FSO systems.
  • Comparison Across Detection Techniques: By leveraging the newly proposed Málaga (M) turbulence model, along with comparisons to lognormal and Gamma-Gamma turbulence cases, the paper delineates the relative performance benefits of heterodyne versus IM/DD detection methods, notably under varying pointing error conditions.
  • Practical Simulations: The theoretical analysis is substantiated through Monte-Carlo simulations that validate the derived expressions. These simulations provide empirical evidence of the models' robustness over a realistic range of atmospheric and pointing error conditions.

Theoretical and Practical Implications

The theoretical advances presented in this research facilitate a more profound understanding of FSO link behavior under complex atmospheric conditions. The comprehensive modeling and unified expressions offer potential for improved FSO system designs that are resilient to both strong atmospheric turbulence and pointing errors. This work is especially relevant to optical communications in urban environments where building sway-induced pointing errors are prevalent.

Practically, these findings can influence the optimization of FSO systems, tailoring them for specific applications where high data throughput and low error rates are critical, such as in backhaul links or urban networks. Furthermore, the identified performance metrics, particularly the diversity order and coding gain, are indispensable for refining modulation schemes and optimizing link budgets.

Future Research Directions

The paper sets a precedent for further exploration into multi-hop or diversity-exploiting FSO systems leveraging the Málaga (M) model. With rapid developments in atmospheric modeling and optical components, future research could extend this work by incorporating advanced error-correction techniques or integrating with hybrid RF/FSO systems to bolster reliability and efficiency. Moreover, exploration into real-time adaptive techniques for mitigating pointing errors and optimizing ergodic capacity with evolving channel conditions remains an open avenue for investigation.

By providing a robust analytical framework, this paper paves the way for substantial advancements in the efficient deployment and operation of FSO communication systems in challenging environments.