Abstract. To
estimate the distribution of the signal strength of a wireless network indoor,
simulation models of spatial frequency planning based on ray tracing of signals
are used. The main limitation of these models is the approximation of the
smoothness of the walls and ceilings of the building.
In
this paper, the problem of accounting for irregularities of reflecting surfaces
in the multipath analysis of WLAN signal indoors is solved. Presence of door
and window apertures, beams of overlapping, niches, columns, pilasters,
furniture items is taken into account with the help of statistical estimation
of influence of constructive irregularities of reflecting surfaces. This method
is the best option for the proportion between the preparatory stage, the
required computing resources and the result accuracy.
The
analysis is based on the method of deterministic calculation of the volumetric
distribution of the intensity of a WLAN signal in a room with obstacles. The
deviations of the reflecting surface from the flat profile are simulated by
randomly changing the coordinates that determine the position of the plane. The
normal and uniform law of distribution of a random coordinate value is
considered.
A
set of simulation tests was performed, which resulted in the getting of the
aggregate values of the WLAN transmission factor for each room volume point.
Statistical processing of these data sets has been performed. The statistical
characteristics of the set of calculated arrays are calculated: arithmetic
mean, variance, standard deviation, skewness.
It
is established that the maximum deviation of the arithmetic mean from the
deterministic value of about 5% is observed in the region of predominance of
reflected rays, for which the position of the reflecting surface is the
determining one.
The
minimum deviation of the arithmetic mean from the deterministic value is less
than 1% in the shadow area of the obstacle for the direct beam, where the
effect of the reflected rays is insignificant. The results of modeling using
the normal and uniform laws of the distribution of coordinate values differ by
not more than 0.5%. The distributions of the WLAN transmission coefficient
module are significantly different from the normal distribution.
Key words: multipath
propagation, ray tracing, geometrical optics, algorithm, irregularity, WLAN,
IEEE 802.11.
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