Fast and Accurate Approximations for the Analysis of Energy Detection in Nakagami-m Channels

Previous research has identified several exact methods for the evaluation of the probability of detection for energy detectors operating on Nakagami-m faded channels. However, these methods rely on discrete summations of complicated functions, and so can take a prohibitively long time to evaluate. In this paper, three approximations for the probability of detection in Nakagami-m faded channels, having distinct regions of applicability, are derived. All have closed forms, and enable the fast and accurate computation of key performance metrics.

[1]  Geoffrey Ye Li,et al.  Soft Combination and Detection for Cooperative Spectrum Sensing in Cognitive Radio Networks , 2008, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[2]  Oluwatobi Olabiyi,et al.  Unified analysis of energy detection of unknown signals over generalized fading channels , 2011, 2011 7th International Wireless Communications and Mobile Computing Conference.

[3]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .

[4]  Aarnout Brombacher,et al.  Probability... , 2009, Qual. Reliab. Eng. Int..

[5]  Fernando Casadevall,et al.  Versatile, Accurate, and Analytically Tractable Approximation for the Gaussian Q-Function , 2011, IEEE Transactions on Communications.

[6]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[7]  E. Drakopoulos,et al.  Optimum multisensor fusion of correlated local decisions , 1991 .

[8]  A. Leon-Garcia,et al.  Probability, statistics, and random processes for electrical engineering , 2008 .

[9]  Mohamed-Slim Alouini,et al.  On the Energy Detection of Unknown Signals Over Fading Channels , 2007, IEEE Transactions on Communications.

[10]  R. M. A. P. Rajatheva,et al.  Energy Detection of Unknown Signals in Fading and Diversity Reception , 2011, IEEE Transactions on Communications.

[11]  H. Urkowitz.  Energy detection of unknown deterministic signals , 1967 .

[12]  Serge Winitzki.  Computing the Incomplete Gamma Function to Arbitrary Precision , 2003, ICCSA.

[13]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[14]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[15]  J. Borwein,et al.  On the complexity of familiar functions and numbers , 1988 .