Simultaneously estimating with ease the three parameters of the generalized gamma distribution

Wong, Jsun Y.

doi:10.1016/0026-2714(93)90063-5

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…The ensuing M-step maximizes the expected log-likelihood with respect to the parameters, where the log-likelihood function can be expressed as [41]…”

Section: B Mle For the Parameters Of The Ggd Modelmentioning

confidence: 99%

Channel Modeling for Orbital Angular Momentum Based Underwater Wireless Optical Systems

Zhu

Yao

Wang

et al. 2022

IEEE Trans. Veh. Technol.

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The underwater turbulence channel is modelled and a unified statistical distribution is applied for characterizing orbital angular momentum (OAM) propagation in underwater wireless optical communication (UWOC) systems. Based on Monte-Carlo simulations, the effects of turbulences are characterized by the multiple phase screens model considering both the coherence width and scintillation index. The phase screen samples are processed by the randomized spectral sampling discrete Fourier transform (DFT) technique. To validate the propagated field distribution, both the phase structure function and optical transfer function are derived and evaluated with the aid of ensemble-averaged results. The Generalized Gamma Distribution (GGD) enriched by an additional independent parameter is applied for modelling the probability density function (PDF) of both the reference-channels, fluctuating irradiance as well as the intermodal crosstalk irradiance between different OAM modes. Furthermore, based on the PDF, the performance metrics of both single input multiple output (SISO) and multiple input multiple output (MIMO) systems are analyzed, based on the average capacity, the bit-error rate and the outage probability.

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“…The ensuing M-step maximizes the expected log-likelihood with respect to the parameters, where the log-likelihood function can be expressed as [41]…”

Section: B Mle For the Parameters Of The Ggd Modelmentioning

confidence: 99%

Channel Modeling for Orbital Angular Momentum Based Underwater Wireless Optical Systems

Zhu

Yao

Wang

et al. 2022

IEEE Trans. Veh. Technol.

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“…We use a maximumlikelihood (ML) estimation in order to estimate the parameters a, b, and c of I mn . The ML estimator computes the loglikelihood function given by [38]:…”

Section: Ggd Fitting Comparison With Simulationsmentioning

confidence: 99%

“…The estimated parameters a, b, and c represent the values for which the previous function is maximized and are giving by [38], [39]:…”

Section: Ggd Fitting Comparison With Simulationsmentioning

confidence: 99%

A Unified Statistical Model for Atmospheric Turbulence-Induced Fading in Orbital Angular Momentum Multiplexed FSO Systems

Amhoud

Ooi

Alouini

2020

IEEE Trans. Wireless Commun.

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This paper proposes a unified statistical channel model to characterize the atmospheric turbulence induced distortions faced by orbital angular momentum (OAM) in free space optical (FSO) communication systems. In this channel model, the self-channel irradiance of OAM modes as well as crosstalk irradiances between different OAM modes are characterized by a Generalized Gamma distribution (GGD). The latter distribution is shown to provide an excellent match with simulated data for all regimes of atmospheric turbulence. Therefore, it can be used to overcome the computationally complex numerical simulations to model the propagation of OAM modes through atmospheric turbulent FSO channels. The GGD allows obtaining very simple tractable closed-form expressions for a variety of performance metrics. Indeed, the average capacity, the bit-error rate, and the outage probability are

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Quantitative IT portfolio management

Verhoef

2002

Science of Computer Programming

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Simultaneously estimating with ease the three parameters of the generalized gamma distribution

Cited by 3 publications

References 13 publications

Channel Modeling for Orbital Angular Momentum Based Underwater Wireless Optical Systems

Channel Modeling for Orbital Angular Momentum Based Underwater Wireless Optical Systems

A Unified Statistical Model for Atmospheric Turbulence-Induced Fading in Orbital Angular Momentum Multiplexed FSO Systems

Quantitative IT portfolio management

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