### Abstract

Original language | English |
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Title of host publication | 19th European Signal Processing Conference, 2011 |

Subtitle of host publication | EUSIPCO 2011 |

Place of Publication | Barcelona, Spain |

Publisher | IEEE |

Pages | 1214-1218 |

Edition | 2011 |

Publication status | Published - 2011 |

Externally published | Yes |

### Publication series

Name | European Signal Processing Conference |
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Publisher | IEEE |

ISSN (Print) | 2076-1465 |

### Cite this

*19th European Signal Processing Conference, 2011: EUSIPCO 2011*(2011 ed., pp. 1214-1218). (European Signal Processing Conference ). Barcelona, Spain: IEEE.

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*19th European Signal Processing Conference, 2011: EUSIPCO 2011.*2011 edn, European Signal Processing Conference , IEEE, Barcelona, Spain, pp. 1214-1218.

**Collaborative spectrum sensing based on upper bound on joint PDF of extreme eigenvalues.** / Shakir, Muhammad Zeeshan; Tang, Wuchen; Imran, Muhammad Ali; Alouini, Mohamed-Slim.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Collaborative spectrum sensing based on upper bound on joint PDF of extreme eigenvalues

AU - Shakir, Muhammad Zeeshan

AU - Tang, Wuchen

AU - Imran, Muhammad Ali

AU - Alouini, Mohamed-Slim

PY - 2011

Y1 - 2011

N2 - Detection based on eigenvalues of received signal covariance matrix is currently one of the most effective solution for spectrum sensing problem in cognitive radios. However, the results of these schemes often depend on asymptotic assumptions since the distribution of ratio of extreme eigenvalues is exceptionally mathematically complex to compute in practice. In this paper, a new approach to determine the distribution of ratio of the largest and the smallest eigenvalues is introduced to calculate the decision threshold and sense the spectrum. In this context, we derive a simple and analytically tractable expression for the distribution of the ratio of the largest and the smallest eigenvalues based on upper bound on the joint probability density function (PDF) of the largest and the smallest eigenvalues of the received covariance matrix. The performance analysis of proposed approach is compared with the empirical results. The decision threshold as a function of a given probability of false alarm is calculated to illustrate the effectiveness of the proposed approach.

AB - Detection based on eigenvalues of received signal covariance matrix is currently one of the most effective solution for spectrum sensing problem in cognitive radios. However, the results of these schemes often depend on asymptotic assumptions since the distribution of ratio of extreme eigenvalues is exceptionally mathematically complex to compute in practice. In this paper, a new approach to determine the distribution of ratio of the largest and the smallest eigenvalues is introduced to calculate the decision threshold and sense the spectrum. In this context, we derive a simple and analytically tractable expression for the distribution of the ratio of the largest and the smallest eigenvalues based on upper bound on the joint probability density function (PDF) of the largest and the smallest eigenvalues of the received covariance matrix. The performance analysis of proposed approach is compared with the empirical results. The decision threshold as a function of a given probability of false alarm is calculated to illustrate the effectiveness of the proposed approach.

M3 - Conference contribution

T3 - European Signal Processing Conference

SP - 1214

EP - 1218

BT - 19th European Signal Processing Conference, 2011

PB - IEEE

CY - Barcelona, Spain

ER -