Application of nonlinear regression in recognizing distribution of signals in wireless channels

In many applications, it is important to recognise the distribution of empirical data in almost real time. One of the specific applications is the identification of statistical models for fading in wireless systems of the base station receivers. This is one of the most important problems in spatial...

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Main Authors: Dragiša Miljković, Siniša Ilić, Dragana Radosavljević, Stefan Pitulić
Format: Article
Language:English
Published: Estonian Academy Publishers 2023-03-01
Series:Proceedings of the Estonian Academy of Sciences
Subjects:
Online Access:https://kirj.ee/wp-content/plugins/kirj/pub/proc-2-2023-105-114_20230317012741.pdf
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author Dragiša Miljković
Siniša Ilić
Dragana Radosavljević
Stefan Pitulić
author_facet Dragiša Miljković
Siniša Ilić
Dragana Radosavljević
Stefan Pitulić
author_sort Dragiša Miljković
collection DOAJ
description In many applications, it is important to recognise the distribution of empirical data in almost real time. One of the specific applications is the identification of statistical models for fading in wireless systems of the base station receivers. This is one of the most important problems in spatial diversity. In this paper, we describe the methodology and the results of a nonlinear regression approach for recognising the distribution of the input signal with the values of its parameters. Furthermore, the proposed approach could be used for the real-time recognition of the probability distributions without any prior knowledge about the input signal. To prove its performance, the LevenbergâMarquardt nonlinear least-squares algorithm is tested on a large set of randomly generated signals with the Gamma, Rayleigh, Rician, Nakagami-m, and Weibull distributions. The experimental results demonstrate that this approach is accurate in recognizing statistical distributions from the signal.
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spelling doaj.art-20612af7cffc4b599d025f859389a4a12023-05-02T12:08:05ZengEstonian Academy PublishersProceedings of the Estonian Academy of Sciences1736-60461736-75302023-03-01722105114https://doi.org/10.3176/proc.2023.2.01https://doi.org/10.3176/proc.2023.2.01Application of nonlinear regression in recognizing distribution of signals in wireless channelsDragiša Miljković0Siniša Ilić1Dragana Radosavljević2Stefan Pitulić3Faculty of Technical Sciences, University of Pristina in Kosovska Mitrovica, Knjaza Milosa 7, 38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Pristina in Kosovska Mitrovica, Knjaza Milosa 7, 38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Pristina in Kosovska Mitrovica, Knjaza Milosa 7, 38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Pristina in Kosovska Mitrovica, Knjaza Milosa 7, 38220 Kosovska Mitrovica, SerbiaIn many applications, it is important to recognise the distribution of empirical data in almost real time. One of the specific applications is the identification of statistical models for fading in wireless systems of the base station receivers. This is one of the most important problems in spatial diversity. In this paper, we describe the methodology and the results of a nonlinear regression approach for recognising the distribution of the input signal with the values of its parameters. Furthermore, the proposed approach could be used for the real-time recognition of the probability distributions without any prior knowledge about the input signal. To prove its performance, the LevenbergâMarquardt nonlinear least-squares algorithm is tested on a large set of randomly generated signals with the Gamma, Rayleigh, Rician, Nakagami-m, and Weibull distributions. The experimental results demonstrate that this approach is accurate in recognizing statistical distributions from the signal.https://kirj.ee/wp-content/plugins/kirj/pub/proc-2-2023-105-114_20230317012741.pdfdata miningclassificationnonlinear regressioncurve fittingprobability distribution.
spellingShingle Dragiša Miljković
Siniša Ilić
Dragana Radosavljević
Stefan Pitulić
Application of nonlinear regression in recognizing distribution of signals in wireless channels
Proceedings of the Estonian Academy of Sciences
data mining
classification
nonlinear regression
curve fitting
probability distribution.
title Application of nonlinear regression in recognizing distribution of signals in wireless channels
title_full Application of nonlinear regression in recognizing distribution of signals in wireless channels
title_fullStr Application of nonlinear regression in recognizing distribution of signals in wireless channels
title_full_unstemmed Application of nonlinear regression in recognizing distribution of signals in wireless channels
title_short Application of nonlinear regression in recognizing distribution of signals in wireless channels
title_sort application of nonlinear regression in recognizing distribution of signals in wireless channels
topic data mining
classification
nonlinear regression
curve fitting
probability distribution.
url https://kirj.ee/wp-content/plugins/kirj/pub/proc-2-2023-105-114_20230317012741.pdf
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