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-µ 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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