A Novel Approach to Approximating Generalized Pointing Errors Modeled by Beckmann Distribution in FSO Communication Systems
In this paper, we introduce a new and accurate approximation for the Beckmann distribution, a widely employed model for describing generalized pointing errors in the context of free-space optical (FSO) communication systems. More specifically, this four-parameter distribution, which considers distin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2025-01-01
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| Series: | IEEE Open Journal of the Communications Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10816714/ |
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| Summary: | In this paper, we introduce a new and accurate approximation for the Beckmann distribution, a widely employed model for describing generalized pointing errors in the context of free-space optical (FSO) communication systems. More specifically, this four-parameter distribution, which considers distinct jitter variances along horizontal and vertical displacements and accounts for nonzero boresight errors at the receiver, is approximated using a Gamma distribution with shape and scale parameters. By applying this approximation to the generalized pointing error model and incorporating angle-of-arrival (AOA) variations, we present novel analytical equations for the cumulative distribution function and the probability density function of the composite Gamma-Gamma turbulence channel. These unified formulations are applicable to intensity modulation with direct detection and heterodyne detection methods, and are expressed using the generalized Meijer's-G function. Utilizing these results, we provide expressions for the moments, the ergodic capacity, the average bit-error rate for several modulations, and the outage probability. Additionally, employing a moments-based approach, we derive a highly accurate asymptotic approximation for the ergodic capacity for high signal-to-noise ratio (SNR) regimes using simple functions. All analytical expressions are validated using Monte-Carlo simulations. |
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| ISSN: | 2644-125X |