Computationally Tractable Model of Energy Detection Performance over Slow Fading Channels

Energy detection (ED) has been widely used for detecting unknown deterministic signals in many wireless communication applications, e.g., cognitive radio, and ultra-wideband (UWB). However, the performance analysis of ED over slow fading channels is cumbersome, because it is difficult to derive closed-form expressions for the average probability of detection involving the generalised Marcum Q-function and the log-normal distribution. In this letter, we derive an approximation of the average probability of detection over a slow fading channel by replacing the log-normal distribution with a Wald distribution. In addition, we analyze the detection performance of the ED using a square-law combining scheme over multiple independent and identically distributed slow fading channels.

[1]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels, Second Edition , 2004 .

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

[3]  Kalle Ruttik,et al.  Detection of Unknown Signals in a Fading Environment , 2009, IEEE Communications Letters.

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

[5]  Vladimir I. Kostylev,et al.  Energy detection of a signal with random amplitude , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[6]  Xuemin Hong,et al.  Cognitive radio network management , 2008, IEEE Vehicular Technology Magazine.

[7]  A. Ghasemi,et al.  Collaborative spectrum sensing for opportunistic access in fading environments , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[8]  J. Leroy Folks,et al.  The Inverse Gaussian Distribution: Theory: Methodology, and Applications , 1988 .

[9]  Rajeev Agrawal,et al.  On efficacy of Rayleigh‐inverse Gaussian distribution over K‐distribution for wireless fading channels , 2007 .

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

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

[12]  Mohamed-Slim Alouini,et al.  On the energy detection of unknown signals over fading channels , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[13]  Allan H. Marcus.  Power Sum Distributions: An Easier Approach Using the Wald Distribution , 1976 .

[14]  Armin Wittneben,et al.  Low Complexity Location Fingerprinting With Generalized UWB Energy Detection Receivers , 2010, IEEE Transactions on Signal Processing.

[15]  Hirofumi Suzwi,et al.  A Statistical Model for Urban Radio Propagation , 1977 .

[16]  H. Suzuki,et al.  A Statistical Model for Urban Radio Propogation , 1977, IEEE Trans. Commun..