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Volumn 12, Issue 3, 2013, Pages 974-983

On the decision threshold of eigenvalue ratio detector based on moments of joint and marginal distributions of extreme eigenvalues

Author keywords

Copula; correlation coefficient; eigenvalue ratio based detection; non asymptotic Gaussian approximation; Spectrum sensing

Indexed keywords

COPULA; CORRELATION COEFFICIENT; EIGENVALUE RATIO BASED DETECTIONS; GAUSSIAN APPROXIMATIONS; SPECTRUM SENSING;

EID: 84875617607     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2012.011513.111486     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 79952854699 scopus 로고    scopus 로고
    • Eigeninference for energy estimation of multiple sources
    • Apr.
    • R. Couillet, J. W. Silverstein, B. Zhidong, and M. Debbah, "Eigeninference for energy estimation of multiple sources," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2420-2439, Apr. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.4 , pp. 2420-2439
    • Couillet, R.1    Silverstein, J.W.2    Zhidong, B.3    Debbah, M.4
  • 3
    • 67650712199 scopus 로고    scopus 로고
    • Eigenvalue based spectrum sensing algorithms for cognitive radios
    • June
    • Y. Zeng and Y. C. Liang, "Eigenvalue based spectrum sensing algorithms for cognitive radios," IEEE Trans. Commun., vol. 57, no. 6, pp. 1784-1793, June 2009.
    • (2009) IEEE Trans. Commun , vol.57 , Issue.6 , pp. 1784-1793
    • Zeng, Y.1    Liang, Y.C.2
  • 4
    • 68349139430 scopus 로고    scopus 로고
    • Cooperative spectrum sensing based on the limiting eigenvalue ratio distribution in Wishart matrices
    • July
    • F. Penna, R. Garello, and M. A. Spirito, "Cooperative spectrum sensing based on the limiting eigenvalue ratio distribution in Wishart matrices," IEEE Commun. Lett., vol. 13, no. 7, pp. 507-509, July 2009.
    • (2009) IEEE Commun. Lett , vol.13 , Issue.7 , pp. 507-509
    • Penna, F.1    Garello, R.2    Spirito, M.A.3
  • 6
    • 0035641726 scopus 로고    scopus 로고
    • On the distribution of the largest eigenvalue in principal component analysis
    • July
    • I. Johnstone, "On the distribution of the largest eigenvalue in principal component analysis," Ann. Statist., vol. 29, pp. 295-327, July 2001.
    • (2001) Ann. Statist , vol.29 , pp. 295-327
    • Johnstone, I.1
  • 7
    • 84875581119 scopus 로고    scopus 로고
    • On the distribution of the ratio of the largest eigenvalue to the trace of a Wishart Matrix
    • Sept
    • B. Nadler, "On the distribution of the ratio of the largest eigenvalue to the trace of a Wishart Matrix," Elsevier J. Multivariate Analysis, Sept. 2010.
    • (2010) Elsevier J. Multivariate Analysis
    • Nadler, B.1
  • 8
    • 79952832913 scopus 로고    scopus 로고
    • Performance of statistical tests for source detection using random matrix theory
    • Apr.
    • P. Bianchi, M. Debbah, M. Maida, and J. Najim, "Performance of statistical tests for source detection using random matrix theory," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2400-2019, Apr. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.4 , pp. 2400-2019
    • Bianchi, P.1    Debbah, M.2    Maida, M.3    Najim, J.4
  • 9
    • 76949104039 scopus 로고    scopus 로고
    • Multiple antenna spectrum sensing in cognitive radios
    • Feb.
    • T. Abbas, N.-K. Masoumeh, and G. Saeed, "Multiple antenna spectrum sensing in cognitive radios," IEEE Trans. Wireless Commun., vol. 9, no. 2, pp. 814-823, Feb. 2010.
    • (2010) IEEE Trans. Wireless Commun , vol.9 , Issue.2 , pp. 814-823
    • Abbas, T.1    Masoumeh, N.-K.2    Saeed, G.3
  • 10
    • 84858328427 scopus 로고    scopus 로고
    • Sensing and probing cardinalities for active cognitive radios
    • Apr.
    • T. V. Nguyen, H. Shin and T. Q. S. Quek, and M. Z. Win, "Sensing and probing cardinalities for active cognitive radios," IEEE Trans. Signal Process., vol. 60, no. 4, pp. 1833-1848, Apr. 2012.
    • (2012) IEEE Trans. Signal Process , vol.60 , Issue.4 , pp. 1833-1848
    • Nguyen, T.V.1    Shin, H.2    Quek, T.Q.S.3    Win, M.Z.4
  • 11
    • 79960564832 scopus 로고    scopus 로고
    • Optimal sensing cardinality for cognitive radios
    • July
    • T. V. Nguyen, H. Shin, and M. Z. Win, "Optimal sensing cardinality for cognitive radios," IEEE Trans. Signal Process., vol. 15, no. 7, pp. 716-718, July 2011.
    • (2011) IEEE Trans. Signal Process , vol.15 , Issue.7 , pp. 716-718
    • Nguyen, T.V.1    Shin, H.2    Win, M.Z.3
  • 12
    • 33847674846 scopus 로고    scopus 로고
    • On the energy detection of unknown signals over fading channels
    • DOI 10.1109/TCOMM.2006.887483
    • F. F. Digham, M.-S. Alouini, and M. K. Simon, "On the energy detection of unknown signals over fading channels," IEEE Trans. Commun., vol. 55, no. 1, pp. 21-24, Jan. 2007. (Pubitemid 46351039)
    • (2007) IEEE Transactions on Communications , vol.55 , Issue.1 , pp. 21-24
    • Digham, F.F.1    Alouini, M.-S.2    Simon, M.K.3
  • 15
  • 16
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and symplectic matrix ensembles Springer
    • C. Tracy and H. Widom, "On orthogonal and symplectic matrix ensembles," Springer J. Commun. Mathematical Physics., vol. 177, no. 3, pp. 727-754, 1996.
    • (1996) J. Commun. Mathematical Physics , vol.177 , Issue.3 , pp. 727-754
    • Tracy, C.1    Widom, H.2
  • 17
    • 79953195871 scopus 로고    scopus 로고
    • A review on spectrum sensing for cognitive radio: Challenges and solutions
    • Article ID 381465 2010
    • Y. Zeng, Y.-C. Liang, A. T. Hoang, and R. Zhang, "A review on spectrum sensing for cognitive radio: Challenges and solutions," EURASIP J. Advances Signal Process., vol. 2010, Article ID 381465, 2010.
    • (2010) EURASIP J. Advances Signal Process
    • Zeng, Y.1    Liang, Y.-C.2    Hoang, A.T.3    Zhang, R.4
  • 18
    • 84862805120 scopus 로고    scopus 로고
    • The PDF of the lth largest eigenvalue of central Wishart matrices and its application to the performance analysis of MIMO systems
    • A. Zanella and M. Chiani, "The PDF of the lth largest eigenvalue of central Wishart matrices and its application to the performance analysis of MIMO systems," in Proc. 2008 IEEE Intl. Conf. Commun., pp. 1-6.
    • Proc. 2008 IEEE Intl. Conf. Commun , pp. 1-6
    • Zanella, A.1    Chiani, M.2
  • 19
    • 65649136568 scopus 로고    scopus 로고
    • On the marginal distribution of the eigenvalues of Wishart matrices
    • Apr
    • A. Zanella, M. Chiani, and M. Z. Win, "On the marginal distribution of the eigenvalues of Wishart matrices," IEEE Trans. Commun., vol. 57, no. 4, pp. 1050-1060, Apr. 2009.
    • (2009) IEEE Trans. Commun , vol.57 , Issue.4 , pp. 1050-1060
    • Zanella, A.1    Chiani, M.2    Win, M.Z.3
  • 20
    • 0001990372 scopus 로고
    • The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type
    • A. Edelman, "The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type," J. Linear Algebra Appl., vol. 159, pp. 55-80, 1991.
    • (1991) J. Linear Algebra Appl , vol.159 , pp. 55-80
    • Edelman, A.1
  • 21
    • 0344014390 scopus 로고    scopus 로고
    • Error probability for optimum combining of m-ary psk signals in the presence of interference and noise
    • Nov
    • M. Chiani, M. Z. Win, and A. Zanella, "Error probability for optimum combining of m-ary psk signals in the presence of interference and noise," IEEE Trans. Commun., vol. 51, no. 11, pp. 1949-1957, Nov. 2003.
    • (2003) IEEE Trans. Commun , vol.51 , Issue.11 , pp. 1949-1957
    • Chiani, M.1    Win, M.Z.2    Zanella, A.3
  • 22
    • 39749113105 scopus 로고    scopus 로고
    • Asymptotic statistics of mutual information for doubly correlated MIMO channels
    • DOI 10.1109/TWC.2008.060271, 4450824
    • H. Shin, M. Z. Win, and M. Chiani, "Asymptotic statistics of mutual information for doubly correlated mimo channels," IEEE Trans. Wireless Commun., vol. 7, no. 2, pp. 562-573, Feb. 2008. (Pubitemid 351305874)
    • (2008) IEEE Transactions on Wireless Communications , vol.7 , Issue.2 , pp. 562-573
    • Shin, H.1    Win, M.Z.2    Chiani, M.3
  • 24
    • 69949126565 scopus 로고    scopus 로고
    • Joint distribution of an arbitrary subset of the ordered eigenvalues of Wishart matrices
    • Indoor Mobile Radio Commun
    • M. Chiani, and A. Zanella, "Joint distribution of an arbitrary subset of the ordered eigenvalues of Wishart matrices," in Proc. 2008 IEEE Intl. Symp. Personal, Indoor Mobile Radio Commun.
    • Proc. 2008 IEEE Intl. Symp. Personal
    • Chiani, M.1    Zanella, A.2
  • 25
    • 0242365588 scopus 로고    scopus 로고
    • On the capacity of spatially correlated MIMO Rayleigh-fading channels
    • Mar
    • M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2363-2371, Mar. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.10 , pp. 2363-2371
    • Chiani, M.1    Win, M.Z.2    Zanella, A.3
  • 27
    • 33847116745 scopus 로고    scopus 로고
    • Copula for bivariate probability distribution
    • Feb
    • T. S. Durrani and X. Zeng, "Copula for bivariate probability distribution," IET Electron. Lett., vol. 43, no. 4, pp. 248-249, Feb. 2007.
    • (2007) IET Electron. Lett , vol.43 , Issue.4 , pp. 248-249
    • Durrani, T.S.1    Zeng, X.2
  • 28
    • 0000354596 scopus 로고
    • On the ratio of two correlated normal random variables
    • Dec
    • D. V. Hinkley, "On the ratio of two correlated normal random variables," Oxford J. Biometrika, vol. 56, no. 3, pp. 635-639, Dec. 1969.
    • (1969) Oxford J. Biometrika , vol.56 , Issue.3 , pp. 635-639
    • Hinkley, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.