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Unilateral left-tail anderson darling test based spectrum sensing with Laplacian noise

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Jiang, Lijuan, Li, Yongzhao, Ye, Yinghui, Chen, Yunfei, Jin, Ming and Zhang, Hailin (2019) Unilateral left-tail anderson darling test based spectrum sensing with Laplacian noise. IET Communications, 13 (6). pp. 696-705. doi:10.1049/iet-com.2018.5598 ISSN 1751-8628.

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Official URL: https://doi.org/10.1049/iet-com.2018.5598

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Abstract

This study focuses on spectrum sensing under Laplacian noise. To mitigate the negative effects caused by the heavy‐tailed behaviour of Laplacian noise, the fractional lower order moments (FLOM) technology is employed to pre‐process the received samples before spectrum sensing. Through exploiting the asymmetrical difference between the distribution for the FLOM of received samples in the absence and presence of primary users, the authors formulate the spectrum sensing problem under Laplacian noise as a unilateral goodness‐of‐fit (GoF) test problem. Based on this test problem, they propose a new GoF‐based detector, which is called a unilateral left‐tail Anderson Darling (ULAD) detector. The analytical expressions for the theoretical performance, in terms of false‐alarm and detection probabilities, of the ULAD are derived. Moreover, a closed‐form expression for the optimal detection threshold is also derived to minimise the total error rate. Simulation results are provided to validate the theoretical analyses and to demonstrate the superior performance of the proposed detector than others.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Journal or Publication Title: IET Communications
Publisher: The Institution of Engineering and Technology
ISSN: 1751-8628
Official Date: April 2019
Dates:
DateEvent
April 2019Published
7 January 2019Available
5 January 2019Accepted
Volume: 13
Number: 6
Page Range: pp. 696-705
DOI: 10.1049/iet-com.2018.5598
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): "This paper is a postprint of a paper submitted to and accepted for publication in IET Communications and is subject to Institution of Engineering and Technology Copyright. The copy of record is available at the IET Digital Library".
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 7 January 2019
Date of first compliant Open Access: 28 January 2019
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