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Open AccessJournal ArticleDOI

Performance of an Energy Detector over Channels with Both Multipath Fading and Shadowing

TLDR
This paper analyzes the performance of an energy detector over wireless channels with composite multipath fading and shadowing effects using the K and K_G channel models to find cases with diversity receptions including maximal ratio combining (MRC) and selection combining (SC).
Abstract
This paper analyzes the performance of an energy detector over wireless channels with composite multipath fading and shadowing effects. These effects are modeled by using the K and K_G channel models. Closed-form average detection probabilities are derived for both K and K_G channel models for the no-diversity reception case. A simple approximation is also derived for large values of energy threshold in the energy detector. The analysis is then extended to cases with diversity receptions including maximal ratio combining (MRC) and selection combining (SC). Analytical results are verified by Monte Carlo simulation and by numerical methods. Receiver operating characteristic (ROC) curves are presented for different degrees of multipath fading and shadowing. Finally, the Rayleigh-lognormal distribution and the K distribution are numerically compared, and the validity of the K channel model for representing the impact of shadowing on the performance of energy detection is affirmed.

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Citations
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Journal ArticleDOI

Energy Detection Based Cooperative Spectrum Sensing in Cognitive Radio Networks

TL;DR: Detection performance of an energy detector used for cooperative spectrum sensing in a cognitive radio network is investigated over channels with both multipath fading and shadowing and can be extended to channels with Nakagami-m multipath fades and lognormal shadowing as well.
Journal ArticleDOI

Spatial-Temporal Opportunity Detection for Spectrum-Heterogeneous Cognitive Radio Networks: Two-Dimensional Sensing

TL;DR: A two-dimensional sensing framework is proposed to improve the opportunity detection performance and classify the spatial opportunities for SUs into three groups: black, grey, and white, and proposes a TDS-based distributed power control scheme to further improve the spectrum utilization by exploiting both grey and white spectrum opportunities.
Journal ArticleDOI

A Mixture Gamma Distribution to Model the SNR of Wireless Channels

TL;DR: A mixture gamma (MG) distribution for the signal-to-noise ratio (SNR) of wireless channels is proposed, which is not only a more accurate model for composite fading, but is also a versatile approximation for any fading SNR.
BookDOI

Energy Detection for Spectrum Sensing in Cognitive Radio

TL;DR: This Springer Brief focuses on the current state of theart research on spectrum sensing by using energy detection, a low-complexity and low-cost technique, and careful analysis enables reader to identify the most efficient techniques for improving energy detection performance.
Journal ArticleDOI

Analysis of area under the ROC curve of energy detection

TL;DR: This paper comprehensively analyze the AUC of an energy detector with no-diversity reception and with several popular diversity schemes, and derives the average AUC for diversity reception cases including maximal ratio combining (MRC), square-law combining (SLC) and selection combining (SC).
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI

Energy detection of unknown deterministic signals

H. Urkowitz
TL;DR: By using Shannon's sampling formula, the problem of the detection of a deterministic signal in white Gaussian noise, by means of an energy-measuring device, reduces to the consideration of the sum of the squares of statistically independent Gaussian variates.
Journal ArticleDOI

On the Energy Detection of Unknown Signals Over Fading Channels

TL;DR: This letter addresses the problem of energy detection of an unknown signal over a multipath channel with the no-diversity case, and presents some alternative closed-form expressions for the probability of detection to those recently reported in the literature.
Journal ArticleDOI

IEEE 802.22: The first cognitive radio wireless regional area network standard

TL;DR: This article presents a high-level overview of the IEEE 802.22 standard for cognitive wireless regional area networks (WRANs) that is under development in the IEEE802 LAN/MAN Standards Committee.