Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation

In this article, the challenges of effective channel estimation for the lognormal-Rician turbulence model are addressed. We present a novel maximum likelihood estimation algorithm involving a saddlepoint approximation (SAP) method to estimate the shaping parameters of the lognormal-Rician distributi...

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Main Authors: Maoke Miao, Xiaofeng Li
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9167206/
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author Maoke Miao
Xiaofeng Li
author_facet Maoke Miao
Xiaofeng Li
author_sort Maoke Miao
collection DOAJ
description In this article, the challenges of effective channel estimation for the lognormal-Rician turbulence model are addressed. We present a novel maximum likelihood estimation algorithm involving a saddlepoint approximation (SAP) method to estimate the shaping parameters of the lognormal-Rician distribution. An additional parameter k needs to be estimated in addition to r and &#x03C3;<sub>z</sub><sup>2</sup> under the SAP representation. The accuracy of the proposed estimator is investigated by using the mean square error and normalized mean square error. The simulated results show that the proposed estimator exhibits satisfactory performance over a wide range of turbulence conditions, and it can be easily applied to both noiseless and noisy situations. The effect of the estimated shaping parameters errors on the bit error rate (BER) for the on-off key (OOK) modulation is also investigated; it is shown that the BER performance derived with the SAP estimator becomes closer to the system performance with perfect shaping parameters as r increases. In particular, we present a qualitative comparison between the proposed SAP estimator and other algorithms available in the literature.
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spelling doaj.art-ff5e9aac1eee47c9b0ca6c874c4faeb02022-12-21T22:49:39ZengIEEEIEEE Access2169-35362020-01-01815292415293110.1109/ACCESS.2020.30166839167206Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint ApproximationMaoke Miao0https://orcid.org/0000-0001-5220-0926Xiaofeng Li1https://orcid.org/0000-0002-0490-1717School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, ChinaIn this article, the challenges of effective channel estimation for the lognormal-Rician turbulence model are addressed. We present a novel maximum likelihood estimation algorithm involving a saddlepoint approximation (SAP) method to estimate the shaping parameters of the lognormal-Rician distribution. An additional parameter k needs to be estimated in addition to r and &#x03C3;<sub>z</sub><sup>2</sup> under the SAP representation. The accuracy of the proposed estimator is investigated by using the mean square error and normalized mean square error. The simulated results show that the proposed estimator exhibits satisfactory performance over a wide range of turbulence conditions, and it can be easily applied to both noiseless and noisy situations. The effect of the estimated shaping parameters errors on the bit error rate (BER) for the on-off key (OOK) modulation is also investigated; it is shown that the BER performance derived with the SAP estimator becomes closer to the system performance with perfect shaping parameters as r increases. In particular, we present a qualitative comparison between the proposed SAP estimator and other algorithms available in the literature.https://ieeexplore.ieee.org/document/9167206/Maximum likelihood estimation (MLE)SAP methodlognormal-Rician turbulence modelOOK modulationqualitative comparison
spellingShingle Maoke Miao
Xiaofeng Li
Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
IEEE Access
Maximum likelihood estimation (MLE)
SAP method
lognormal-Rician turbulence model
OOK modulation
qualitative comparison
title Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
title_full Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
title_fullStr Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
title_full_unstemmed Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
title_short Parameter Estimation of the Lognormal-Rician Channel Model Using Saddlepoint Approximation
title_sort parameter estimation of the lognormal rician channel model using saddlepoint approximation
topic Maximum likelihood estimation (MLE)
SAP method
lognormal-Rician turbulence model
OOK modulation
qualitative comparison
url https://ieeexplore.ieee.org/document/9167206/
work_keys_str_mv AT maokemiao parameterestimationofthelognormalricianchannelmodelusingsaddlepointapproximation
AT xiaofengli parameterestimationofthelognormalricianchannelmodelusingsaddlepointapproximation