The area-mean power corresponds to the logarithmic average of the received local mean power
, that is the area-mean is
E[log power].
The linear average and higher-order
moments of local-mean power are
Multiple log-normal signals
With shadowing, the interference power accumulates more rapidly than proportionally
with the number of signals. The accumulation of multiple signals with shadowing is a relevant issue in the planning of cellular networks.
Mean mt and standard deviation st (both in dB) of the joint power of n signals with uncorrelated shadowing, each with mean 0 dB and with identical standard deviation.
0 dB 6 dB 8.3 dB 12 dB n mt st mt st mt st mt st 1 0.00 0.00 0.00 6.00 0.00 8.30 0.00 12.00 2 3.00 0.00 4.58 4.58 5.61 6.49 7.45 9.58 3 4.50 0.00 6.90 3.93 8.45 5.62 11.20 8.40 4 6.00 0.00 8.43 3.54 10.29 5.08 13.62 7.66 5 7.00 0.00 9.57 3.26 11.64 4.70 15.37 7.13 6 7.50 0.00 10.48 3.04 12.69 4.41 16.74 6.74