Further results on area under the ROC curve of energy detectors over generalized fading channels

Alam, Shumon; Odejide, O.; Olabiyi, O.; Annamalai, A.

doi:10.1109/sarnof.2011.5876481

Cited by 22 publications

(14 citation statements)

References 15 publications

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“…Though, it is not shown here, we obtained that the increase of the time-bandwidth product (u) does not increase the AUC value for fixed relay number. Large sample (u) values do not necessarily increase the Average AUC; as u increases, the false alarm increases faster with larger samples, which is supported by [16]. Finally, in Fig.…”

Section: Numerical Results For Blind Af Relay Networksupporting

confidence: 54%

“…The random guessing produces the diagonal ROC line between (0, 0) and (1, 1) which has an area of 0.5. Thus, for practical detectors, the AUC value will not be less than 0.5 [16]. Thus, AUC is a good measure of detection probability; it represents the probability that choosing the correct decision at the detector is more likely than choosing the incorrect decision.…”

Section: Introductionmentioning

confidence: 99%

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Performance Analysis of Amplify-and-Forward Relay Based Cooperative Spectrum Sensing in Fading Channels

Alam¹

2012

IJWMN

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Relay based cooperative spectrum sensing elevates the spectrum sensing problems in harsh propagation conditions if the relay nodes are positioned suitably for the dynamic spectrum access systems. This article investigates the performance of relay based spectrum sensing (energy detection based) in myriad fading environments using the area under the receiver operating characteristic curve (AUC) performance metric. AUC is a single statistical parameter, which provides better insight of detection probability compared to the receiver operating characteristic curve (ROC). The article includes the performance analysis of two-hop multi-relay amplify-and-forward (AF) relay network with channel state information (CSI) assisted relaying (variable relay gain) and blind (fixed) relay gain. A unified model is also

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Section: Numerical Results For Blind Af Relay Networksupporting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Amplify-and-Forward Relay Based Cooperative Spectrum Sensing in Fading Channels

Alam¹

2012

IJWMN

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“…As a result, for N odd, l = N + 2k is also odd. Thus, (12) can be rewritten using (8) for the odd case which results in (13), where…”

Section: Probability Of Detection and False Alarm Under Awgn Channelsmentioning

confidence: 99%

“…Although several research papers have investigated the detection process using energy detector over a variety of fading channels (cf. [8][9][10][11][12][13]), the expressions derived for the probability of detection and the probability of false alarms were mainly evaluated for even degrees of freedom (e.g., [14,Eq. 10]).…”

Section: Introductionmentioning

confidence: 99%

A new mathematical analysis of the probability of detection in cognitive radio over fading channels

Altrad

Muhaidat

2013

J Wireless Com Network

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Cognitive radio (CR) enriches wireless technology systems by harnessing spectrum white spaces. Such systems require continuous and reliable sensing to provide high-quality service to their users and to minimize the interference they may cause to legacy networks. As the simplicity of implementation of energy detectors and their incoherent requirements make them an ideal candidate for this type of application, this work provides a further mathematical analysis to the probability of detection over different fading channels. We derive a tight closed-form expression for the probability of detection over Nakagami channels. In addition, we introduce an accurate recursive algorithm to compute the probability of detection for an odd degree of freedom over additive white Gaussian noise channels, which has been overlooked in the literature so far. Finally, we present the simulation results which concur with the numerical results and which are also a perfect match with the mathematical expressions derived.

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“…[30], [34]. Based on this, the authors in [35] analyzed the AUC by means of the semi-analytic MGF approach for the case of Nakagami−m and η−µ fading channels while similar analyses based on the MGF approach were reported in [36], [37].…”

Section: Introductionmentioning

confidence: 89%

Area under ROC curve of energy detection over generalized fading channels

Bagheri

Sofotasios

Tsiftsis

et al. 2015

2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)

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Abstract-A fast and reliable detection scheme is essential in several wireless applications such as radar and cognitive radio systems. Energy detection is such a method as it does not require a priori information of the received signal while it exhibits low implementation complexity and costs. Since the detection capability of ED is largely affected by the effects of multipath fading, this paper is devoted to a thorough analysis of energy detection based spectrum sensing over generalized fading conditions. To this end, analytical expressions are firstly derived using the area under the receiver operating characteristic curve (AUC) under additive white Gaussian noise. This analysis is subsequently extended to the case of generalized fading conditions characterized by κ−µ and η−µ fading distributions. The offered results are novel and are employed in analyzing the corresponding performance. It is shown that fading phenomena result to detrimental effects on the performance of spectrum sensing since the deviation between severe and non-severe conditions is rather substantial.

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Further results on area under the ROC curve of energy detectors over generalized fading channels

Cited by 22 publications

References 15 publications

Performance Analysis of Amplify-and-Forward Relay Based Cooperative Spectrum Sensing in Fading Channels

Performance Analysis of Amplify-and-Forward Relay Based Cooperative Spectrum Sensing in Fading Channels

A new mathematical analysis of the probability of detection in cognitive radio over fading channels

Area under ROC curve of energy detection over generalized fading channels

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