Unified Analysis of Low-SNR Energy Detection and Threshold Selection

For spectrum sensing in cognitive radio networks, the IEEE 802.22 standard requires the detection of primary signals with a signal-to-noise ratio (SNR) as low as -20 dB and receiver sensitivity as low as -116 dBm. Under such low-SNR levels, the performance of a conventional energy detector is analyz...

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Published inIEEE transactions on vehicular technology Vol. 64; no. 11; pp. 5006 - 5019
Main Authors Atapattu, Saman, Tellambura, Chintha, Jiang, Hai, Rajatheva, Nandana
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN0018-9545
1939-9359
DOI10.1109/TVT.2014.2381648

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Abstract For spectrum sensing in cognitive radio networks, the IEEE 802.22 standard requires the detection of primary signals with a signal-to-noise ratio (SNR) as low as -20 dB and receiver sensitivity as low as -116 dBm. Under such low-SNR levels, the performance of a conventional energy detector is analyzed in this paper. The analysis includes novel expressions for missed-detection probability and area under the receiver operating characteristic (ROC) curve. Thus, a unified framework covering fading channels, square-law diversity combining, and cooperative spectrum-sensing scenarios is developed. The detection threshold is optimized to minimize the total error rate subject to bounded false-alarm and missed-detection probabilities, which outperforms traditional detection threshold selection. Numerical results and Monte Carlo simulation results with the IEEE 802.22 sensing requirements are provided and discussed.
AbstractList For spectrum sensing in cognitive radio networks, the IEEE 802.22 standard requires the detection of primary signals with a signal-to-noise ratio (SNR) as low as -20 dB and receiver sensitivity as low as -116 dBm. Under such low-SNR levels, the performance of a conventional energy detector is analyzed in this paper. The analysis includes novel expressions for missed-detection probability and area under the receiver operating characteristic (ROC) curve. Thus, a unified framework covering fading channels, square-law diversity combining, and cooperative spectrum-sensing scenarios is developed. The detection threshold is optimized to minimize the total error rate subject to bounded false-alarm and missed-detection probabilities, which outperforms traditional detection threshold selection. Numerical results and Monte Carlo simulation results with the IEEE 802.22 sensing requirements are provided and discussed.
Author Rajatheva, Nandana
Atapattu, Saman
Jiang, Hai
Tellambura, Chintha
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Cites_doi 10.4304/jcm.1.1.38-47
10.1145/1234388.1234400
10.1109/PROC.1967.5573
10.1109/T-WC.2008.070391
10.1109/LCOMM.2011.103111.111884
10.1109/TWC.2010.03.090467
10.1109/TWC.2011.111210.102115
10.1109/WCNC.2013.6555237
10.1109/TWC.2010.100110.091042
10.1109/ICASSP.2012.6288655
10.1109/TCOMM.2011.071111.090349
10.1109/TSP.2012.2212434
10.1109/JSAC.2011.110202
10.1109/MCOM.2009.4752688
10.1109/icc.2011.5963316
10.1109/TWC.2009.12.081710
10.1109/SURV.2009.090109
10.1109/JSTSP.2007.914879
10.1109/TWC.2010.5403535
10.1109/TCOMM.2013.022713.120610
10.1109/TVT.2010.2043966
10.1109/TSP.2008.2008540
10.1109/JSSC.2009.2031044
10.1109/TWC.2011.012411.100611
10.1109/GLOCOMW.2011.6162589
10.1109/APCC.2013.6765974
10.1109/TWC.2010.03.091085
10.1109/TSP.2012.2189767
10.1109/TWC.2008.060869
10.1109/GLOCOM.2008.ECP.569
10.1007/978-0-387-76544-0
10.1109/TWC.2011.080611.101580
10.1109/TCOMM.2006.887483
10.1109/TCSI.2011.2143010
10.1109/7.481289
10.1007/s11277-010-0009-5
10.1109/TWC.2011.071411.101929
10.1109/GLOCOM.2011.6133986
10.1109/LCOMM.2012.030512.112164
10.1109/GLOCOM.2008.ECP.578
10.1109/TVT.2011.2116815
10.1109/TCOMM.2014.020314.130448
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Keywords energy detection
low signal-to-noise ratio (SNR)
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References ref35
ref13
ref12
ref37
ref15
ref14
ref31
ref30
ref33
ref11
ref10
ref2
ref39
ref17
ref38
ref16
ref19
ref18
(ref1) 2012
(ref43) 2011
ref46
ref24
ref45
ref23
ref48
ref26
ref47
ref25
ref20
ref42
ref41
ref22
ref44
ref21
gradshteyn (ref32) 2000
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref6
ref5
ref40
trees (ref36) 2001
shellhammer (ref3) 0
prudnikov (ref34) 1986; 2
References_xml – ident: ref2
  doi: 10.4304/jcm.1.1.38-47
– ident: ref42
  doi: 10.1145/1234388.1234400
– ident: ref5
  doi: 10.1109/PROC.1967.5573
– ident: ref24
  doi: 10.1109/T-WC.2008.070391
– ident: ref41
  doi: 10.1109/LCOMM.2011.103111.111884
– ident: ref28
  doi: 10.1109/TWC.2010.03.090467
– year: 2001
  ident: ref36
  publication-title: Detection Estimation and Modulation Theory Part I
– ident: ref33
  doi: 10.1109/TWC.2011.111210.102115
– ident: ref19
  doi: 10.1109/WCNC.2013.6555237
– ident: ref8
  doi: 10.1109/TWC.2010.100110.091042
– ident: ref11
  doi: 10.1109/ICASSP.2012.6288655
– ident: ref7
  doi: 10.1109/TCOMM.2011.071111.090349
– ident: ref10
  doi: 10.1109/TSP.2012.2212434
– ident: ref40
  doi: 10.1109/JSAC.2011.110202
– ident: ref4
  doi: 10.1109/MCOM.2009.4752688
– volume: 2
  year: 1986
  ident: ref34
  publication-title: Integrals and Series
– ident: ref30
  doi: 10.1109/icc.2011.5963316
– ident: ref37
  doi: 10.1109/TWC.2009.12.081710
– start-page: 1
  year: 0
  ident: ref3
  article-title: Spectrum sensing in IEEE 802.22
  publication-title: Proc 1st IAPR Workshop Cogn Inf Process
– ident: ref20
  doi: 10.1109/SURV.2009.090109
– year: 2012
  ident: ref1
– ident: ref46
  doi: 10.1109/JSTSP.2007.914879
– ident: ref21
  doi: 10.1109/TWC.2010.5403535
– ident: ref17
  doi: 10.1109/TCOMM.2013.022713.120610
– ident: ref29
  doi: 10.1109/TVT.2010.2043966
– ident: ref23
  doi: 10.1109/TSP.2008.2008540
– ident: ref44
  doi: 10.1109/JSSC.2009.2031044
– ident: ref9
  doi: 10.1109/TWC.2011.012411.100611
– ident: ref22
  doi: 10.1109/GLOCOMW.2011.6162589
– start-page: 1
  year: 2011
  ident: ref43
– ident: ref47
  doi: 10.1109/APCC.2013.6765974
– ident: ref35
  doi: 10.1109/TWC.2010.03.091085
– ident: ref12
  doi: 10.1109/TSP.2012.2189767
– ident: ref25
  doi: 10.1109/TWC.2008.060869
– ident: ref38
  doi: 10.1109/GLOCOM.2008.ECP.569
– ident: ref48
  doi: 10.1007/978-0-387-76544-0
– ident: ref15
  doi: 10.1109/TWC.2011.080611.101580
– ident: ref6
  doi: 10.1109/TCOMM.2006.887483
– ident: ref45
  doi: 10.1109/TCSI.2011.2143010
– ident: ref31
  doi: 10.1109/7.481289
– ident: ref18
  doi: 10.1007/s11277-010-0009-5
– year: 2000
  ident: ref32
  publication-title: Table of Integrals Series and Products
– ident: ref14
  doi: 10.1109/TWC.2011.071411.101929
– ident: ref39
  doi: 10.1109/GLOCOM.2011.6133986
– ident: ref13
  doi: 10.1109/LCOMM.2012.030512.112164
– ident: ref26
  doi: 10.1109/GLOCOM.2008.ECP.578
– ident: ref16
  doi: 10.1109/TVT.2011.2116815
– ident: ref27
  doi: 10.1109/TCOMM.2014.020314.130448
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SubjectTerms Cognitive radio
Detectors
Diversity reception
energy detection
low-SNR
Rayleigh channels
Signal to noise ratio
spectrum sensing
threshold selection
Title Unified Analysis of Low-SNR Energy Detection and Threshold Selection
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