Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels

We propose a mathematical interference model of cognitive wireless networks based on two channels suffering different fading. The primary channel between primary transmitter and primary receiver is under Rayleigh fading. The secondary interference channel between secondary transmitter and primary re...

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Main Authors: Jian Li, Shenghong Li
Format: Article
Language:English
Published: Wiley 2014-03-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1155/2014/236891
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author Jian Li
Shenghong Li
author_facet Jian Li
Shenghong Li
author_sort Jian Li
collection DOAJ
description We propose a mathematical interference model of cognitive wireless networks based on two channels suffering different fading. The primary channel between primary transmitter and primary receiver is under Rayleigh fading. The secondary interference channel between secondary transmitter and primary receiver is under Rice fading. By employing various factors, such as the spectrum sensing scheme and the spatial distribution of the secondary users, the proposed model gives an accurate expression of interference probability compared to the statistical models that just approximate the probability model of the interference or bounds models that aim at finding the bounds of the interference. The proposed probability density function (PDF), cumulative distribution function (CDF), and the mean and variance of interference can be extended to a number of applications including power control, spectrum sensing evaluation, secondary users density analysis, and setting interference toleration threshold. Moreover, the framework developed in this paper can be applied to the interference analysis for the nodes of cognitive networks distributed in irregular geographical shapes like finite or infinite zone. The simulation result verifies our theory and is in agreement with the expectation.
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series International Journal of Distributed Sensor Networks
spelling doaj-art-e3b460fa03484178b8e3b3756e8a596f2025-08-20T03:25:07ZengWileyInternational Journal of Distributed Sensor Networks1550-14772014-03-011010.1155/2014/236891236891Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading ChannelsJian Li0Shenghong Li1 The Third Research Institute of Ministry of Public Security of P.R.C, Shanghai 200031, China Electronic Engineering Department, Shanghai Jiao Tong University, Shanghai 200240, ChinaWe propose a mathematical interference model of cognitive wireless networks based on two channels suffering different fading. The primary channel between primary transmitter and primary receiver is under Rayleigh fading. The secondary interference channel between secondary transmitter and primary receiver is under Rice fading. By employing various factors, such as the spectrum sensing scheme and the spatial distribution of the secondary users, the proposed model gives an accurate expression of interference probability compared to the statistical models that just approximate the probability model of the interference or bounds models that aim at finding the bounds of the interference. The proposed probability density function (PDF), cumulative distribution function (CDF), and the mean and variance of interference can be extended to a number of applications including power control, spectrum sensing evaluation, secondary users density analysis, and setting interference toleration threshold. Moreover, the framework developed in this paper can be applied to the interference analysis for the nodes of cognitive networks distributed in irregular geographical shapes like finite or infinite zone. The simulation result verifies our theory and is in agreement with the expectation.https://doi.org/10.1155/2014/236891
spellingShingle Jian Li
Shenghong Li
Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
International Journal of Distributed Sensor Networks
title Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
title_full Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
title_fullStr Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
title_full_unstemmed Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
title_short Interference of Cognitive Wireless Networks on Rayleigh and Rice Fading Channels
title_sort interference of cognitive wireless networks on rayleigh and rice fading channels
url https://doi.org/10.1155/2014/236891
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AT shenghongli interferenceofcognitivewirelessnetworksonrayleighandricefadingchannels