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Unified Statistical Channel Model for Turbulence-Induced Fading in Underwater Wireless Optical Communication Systems (1810.06314v1)

Published 15 Oct 2018 in cs.IT and math.IT

Abstract: A unified statistical model is proposed to characterize turbulence-induced fading in underwater wireless optical communication (UWOC) channels in the presence of air bubbles and temperature gradient for fresh and salty waters, based on experimental data. In this model, the channel irradiance fluctuations are characterized by the mixture Exponential-Generalized Gamma (EGG) distribution. We use the expectation maximization (EM) algorithm to obtain the maximum likelihood parameter estimation of the new model. Interestingly, the proposed model is shown to provide a perfect fit with the measured data under all channel conditions for both types of water. The major advantage of the new model is that it has a simple mathematical form making it attractive from a performance analysis point of view. Indeed, we show that the application of the EGG model leads to closed-form and analytically tractable expressions for key UWOC system performance metrics such as the outage probability, the average bit-error rate, and the ergodic capacity. To the best of our knowledge, this is the first-ever comprehensive channel model addressing the statistics of optical beam irradiance fluctuations in underwater wireless optical channels due to both air bubbles and temperature gradient.

Citations (172)

Summary

  • The paper proposes a novel unified statistical channel model based on the Exponential-Generalized Gamma (EGG) distribution to accurately characterize turbulence-induced fading in UWOC systems.
  • The EGG model provides a strong fit with experimental data and enables the derivation of closed-form expressions for key performance metrics like outage probability and average BER.
  • This accurate model improves the design and performance analysis of underwater wireless optical communication systems operating under various turbulence conditions.

Analysis of Turbulence-Induced Fading in UWOC Systems

The paper "Unified Statistical Channel Model for Turbulence-Induced Fading in Underwater Wireless Optical Communication Systems" addresses a critical problem in underwater wireless optical communication (UWOC), namely the characterization of turbulence-induced fading. Emna Zedini and colleagues propose a novel unified statistical model that incorporates both air bubbles and temperature gradients affecting irradiance fluctuations in UWOC channels. This comprehensive model focuses on enhancing UWOC system performance metrics by utilizing the Exponential-Generalized Gamma (EGG) distribution, delineating a significant advance in the channel modeling domain.

Core Contributions

The authors introduce the EGG model as a solution to the inadequacies observed in previous models like the Exponential-Lognormal distribution, which failed to capture all regimes of turbulence and presented difficulties in deriving closed-form performance metrics. The EGG model, by contrast, provides a perfect fit with experimental data across a range of channel conditions and supports analytically tractable expressions for key performance metrics such as:

  • Outage Probability: The closed-form expressions derived allow straightforward calculation of outage probabilities, a vital metric for assessing communication reliability under turbulent propagation conditions.
  • Average Bit-Error Rate (BER): The authors detail the performance impact on different modulation schemes including OOK, BPSK, M-QAM, and M-PSK, providing useful implications for modulation technique selection based on system requirements.
  • Ergodic Capacity: Utilizing the moments-based approach, the EGG model facilitates asymptotic analysis at high SNRs, yielding simple yet effective expressions for ergodic capacity estimations.

Experimental Validation

The paper employs comprehensive experimental setups involving both fresh and salty waters, incorporating various turbulence scenarios induced by differing levels of air bubbles and temperature gradients. This methodology underpins the robustness of the authors' findings, as illustrated by the consistency between simulation results and experimental data under both heterodyne detection and IM/DD techniques. Notably, the authors demonstrate that as the turbulence severity increases—either due to higher air bubble levels or greater temperature gradients—the UWOC system performance metrics deteriorate, thus emphasizing the need for robust modeling such as the one proposed.

Implications and Future Research Directions

The implications of this research are manifold, affecting both theoretical and practical aspects of UWOC systems. By providing a more accurate and tractable model for turbulent channels, the authors pave the way for improved design and deployment of underwater optical communication systems, addressing challenges in fields such as environmental monitoring and maritime security. The model’s ability to capture both air bubble and temperature gradient effects positions it as a potential template for further refinement that includes salinity gradients, as per indications that the Weibull distribution fits the salinity-induced turbulence well.

Future research might explore integrating additional environmental variability factors, such as varying salinity levels, into the EGG model to ensure its adaptability across increasingly diverse underwater conditions. Additionally, exploration into real-time adaptability of the model in response to dynamic underwater environments could beneficially impact UWOC reliability and robustness.

By effectively synthesizing theoretical expertise with empirical rigor, this paper offers valuable insights into UWOC challenges and presents actionable solutions which other researchers can build upon in the quest for groundbreaking advancements in underwater wireless networks.