Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model
This paper proposes a novel multi-parameter estimation algorithm for the <i>k-µ</i> fading channel model to analyze wireless transmission performance in complex time-varying and non-line-of-sight communication scenarios involving moving targets. The proposed estimator offers a mathematic...
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MDPI AG
2023-05-01
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Online Access: | https://www.mdpi.com/1424-8220/23/10/4760 |
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author | Jie Tian Zhongqing Fan Zhengyu Ji Xianglu Li Peng Fei Dong Hou |
author_facet | Jie Tian Zhongqing Fan Zhengyu Ji Xianglu Li Peng Fei Dong Hou |
author_sort | Jie Tian |
collection | DOAJ |
description | This paper proposes a novel multi-parameter estimation algorithm for the <i>k-µ</i> fading channel model to analyze wireless transmission performance in complex time-varying and non-line-of-sight communication scenarios involving moving targets. The proposed estimator offers a mathematically tractable theoretical framework for the application of the <i>k-µ</i> fading channel model in realistic scenarios. Specifically, the algorithm obtains expressions for the moment-generating function of the <i>k-µ</i> fading distribution and eliminates the gamma function using the even-order moment value comparison method. It then obtains two sets of solution models for the moment-generating function at different orders, which enable the estimation of the <i>k</i> and <i>µ</i> parameters using three sets of closed-form solutions. The <i>k</i> and <i>µ</i> parameters are estimated based on received channel data samples generated using the Monte Carlo method to restore the distribution envelope of the received signal. Simulation results show strong agreement between theoretical and estimated values for the closed-form estimated solutions. Additionally, the differences in complexity, accuracy exhibited under different parameter settings, and robustness under decreasing SNR may make the estimators suitable for different practical application scenarios. |
first_indexed | 2024-03-11T03:20:32Z |
format | Article |
id | doaj.art-8ea390673bc64e21a27350c37ab1eb77 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-11T03:20:32Z |
publishDate | 2023-05-01 |
publisher | MDPI AG |
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series | Sensors |
spelling | doaj.art-8ea390673bc64e21a27350c37ab1eb772023-11-18T03:12:11ZengMDPI AGSensors1424-82202023-05-012310476010.3390/s23104760Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel ModelJie Tian0Zhongqing Fan1Zhengyu Ji2Xianglu Li3Peng Fei4Dong Hou5Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, ChinaInstitute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, ChinaInstitute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, ChinaInstitute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, ChinaHigh-Tech Institute, The First School, Rocket Force University of Engineering, Xi’an 710025, ChinaThe School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis paper proposes a novel multi-parameter estimation algorithm for the <i>k-µ</i> fading channel model to analyze wireless transmission performance in complex time-varying and non-line-of-sight communication scenarios involving moving targets. The proposed estimator offers a mathematically tractable theoretical framework for the application of the <i>k-µ</i> fading channel model in realistic scenarios. Specifically, the algorithm obtains expressions for the moment-generating function of the <i>k-µ</i> fading distribution and eliminates the gamma function using the even-order moment value comparison method. It then obtains two sets of solution models for the moment-generating function at different orders, which enable the estimation of the <i>k</i> and <i>µ</i> parameters using three sets of closed-form solutions. The <i>k</i> and <i>µ</i> parameters are estimated based on received channel data samples generated using the Monte Carlo method to restore the distribution envelope of the received signal. Simulation results show strong agreement between theoretical and estimated values for the closed-form estimated solutions. Additionally, the differences in complexity, accuracy exhibited under different parameter settings, and robustness under decreasing SNR may make the estimators suitable for different practical application scenarios.https://www.mdpi.com/1424-8220/23/10/4760<i>k-µ</i> distributionfading channel modelmulti-parameter estimationclosed-form solution |
spellingShingle | Jie Tian Zhongqing Fan Zhengyu Ji Xianglu Li Peng Fei Dong Hou Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model Sensors <i>k-µ</i> distribution fading channel model multi-parameter estimation closed-form solution |
title | Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model |
title_full | Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model |
title_fullStr | Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model |
title_full_unstemmed | Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model |
title_short | Multi-Parameter Estimation Method and Closed-Form Solution Study for <i>k-µ</i> Channel Model |
title_sort | multi parameter estimation method and closed form solution study for i k µ i channel model |
topic | <i>k-µ</i> distribution fading channel model multi-parameter estimation closed-form solution |
url | https://www.mdpi.com/1424-8220/23/10/4760 |
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