Title :
On the performance of eigenvalue-based signal detection
Author_Institution :
Coll. of Modern Sci. & Technol., China Jiliang Univ., Hangzhou, China
Abstract :
Comparing to GLRT which should have some prior information, eigenvalue-based spectrum sensing is a totally blind detection technique without knowing the information of signal, channel and noise power. Existing eigenvalue-based spectrum sensing techniques are based on the approximated methods to determine the threshold. The performance of this approach is satisfactory for multipath channels in low SNR environments, however, at the cost of a long detection latency and high computational complexity due to the fact that a large number of samples are required. To tackle this problem, the thresholds can be calculated by a joint eigenvalue distribution. Unfortunately, this kind of distribution functions hardly meet the requirements of signal detection. In this paper, we explore the usage of an exact probability density function (PDF) of Demmel condition number for complex Wishart matrices. We show that the potential gain obtained by using the proposed function is rather large compared to the traditional approximated methods with smaller size of samples.
Keywords :
approximation theory; cognitive radio; computational complexity; covariance matrices; eigenvalues and eigenfunctions; multipath channels; radio spectrum management; signal detection; wireless channels; Demmel condition number; approximation methods; blind detection technique; complex Wishart matrices; computational complexity; detection latency; eigenvalue-based signal detection performance; eigenvalue-based spectrum sensing; exact PDF; exact probability density function; joint eigenvalue distribution; low SNR environments; multipath channels; noise power; potential gain; sample size; signal information; Approximation algorithms; Covariance matrix; Eigenvalues and eigenfunctions; Receiving antennas; Sensors; Signal to noise ratio; Signal detection; cognitive radio; covariance matrix; eigenvalues; sensing algorithm; spectrum sensing;
Conference_Titel :
ITS Telecommunications (ITST), 2012 12th International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4673-3071-8
Electronic_ISBN :
978-1-4673-3069-5
DOI :
10.1109/ITST.2012.6425193