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Bounds on the SIR distribution for a class of channel models in ad hoc networks
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/2030
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| Title: | Bounds on the SIR distribution for a class of channel models in ad hoc networks |
| Authors: | Weber, Steven P.
Andrews, Jeffrey |
| Issue Date: | 2006 |
| Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
| Citation: | Paper presented at IEEE GLOBECOM 2006 - 2006 Global Telecommunications Conference. San Francisco, CA. |
| Abstract: | We provide closed form upper and lower bounds on
the distribution of the signal to interference ratio (SIR) seen by a
typical receiver in an ad hoc network where transmitter locations
form a Poisson process. The aggregate co-channel interference in
such a network is known to be a power law shot noise process and
the distribution is known to be symmetric stable; we will show
the same is true of the SIR. Stable distributions are unwieldy
in that there is no closed form expression for their PDF and
CDF; this is the motivation behind seeking simple bounds on
the SIR. We consider a broad class of channel models that
have a deterministic, distance dependent path-loss component
and a random, distance-independent component. This class of
channel models includes lognormal shadowing, Rayleigh fading,
the Nakagami model, and others. We show that the lower bound
on SIR is tight and that the upper bound has a bounded error
that depends on the path loss exponent but not on the random
channel variation. Numerical plots of the SIR distribution for a
variety of common channel models are provided to illustrate the
bounds. The bounds are useful for computing common network
performance metrics like outage probability and BER. |
| URI: | http://dx.doi.org/10.1109/GLOCOM.2006.621
http://hdl.handle.net/1860/2030 |
| Appears in Collections: | Faculty Research and Publications (MSE)
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