"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 11, 2016

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Statistical analysis of the average probability of correct detection for energy-based detection in the presence of multipath fading


A. S. Gvozdarev, M. A. Gulyaeva

P.G.Demidov Yaroslavl State University


The paper is received on November 7, 2016


Abstract. The dependency of an average probability of correct detection upon the parameters of the multipath fading channel is studied on the example of an energy-based scheme for white space detection in cognitive radio systems. The k-μ and η composite channel models (which are the generalization of a wide variety of existing models, like Rayleigh, Rice, Nakagami, Hoyt, log-normal, one sided normal, etc) are used. For the case of integer-valued parameters we obtained closed analytical expression for averaged probability of detection. This expression was obtained on the base of earlier solution for more general channel model which takes into account possible loss of visibility (shadow effects). A numerical analysis (with subsequent physical interpretation) is carried out for the dependence of signal-to-noise ratio, which is required for correct detection probability on the 0.9 level, upon the parameters of the considered models: the number of multipath clusters µ (which represents multipath clustering effects) and the ratio between the total power of the dominant components and the total power of the scattered waves k for k-μ; the ratio between in-phase and quadrature components η and the number of multipath clusters µ for η-µ; number of degrees of freedom u (a parameter of the energy-based detection scheme). The performed study of the parameters’ joined influence upon the channel characteristics can be used at the channel estimation stage (for further compensation or equalization).

Key words: energy detection, probability of detection, multipath fading


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