TY - JOUR
T1 - On unbounded path-loss models
T2 - Effects of singularity on wireless network performance
AU - Inaltekin, Hazer
AU - Chiang, Mung
AU - Poor, H. Vincent
AU - Wicker, Stephen B.
N1 - Funding Information:
Manuscript received 27 August 2008; revised 31 January 2009. An earlier version of this work appeared in the Fourth Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, San Diego, CA, USA. This research was supported in part by the National Science Foundation under Grants ANI-03-58807, CNS-06-25637, CCF-0448012, and by ONR Grant N00014-07-1-0864.
PY - 2009/9
Y1 - 2009/9
N2 - This paper addresses the following question: how reliable is it to use the unbounded path-loss model G(d) = d -α, where α is the path-loss exponent, to model the decay of transmitted signal power in wireless networks? G(d) is a good approximation for the path-loss in wireless communications for large values of d but is not valid for small values of d due to the singularity at 0. This model is often used along with a random uniform node distribution, even though in a group of uniformly distributed nodes some may be arbitrarily close to one another. The unbounded path-loss model is compared to a more realistic bounded path-loss model, and it is shown that the effect of the singularity on the total network interference level is significant and cannot be disregarded when nodes are uniformly distributed. A phase transition phenomenon occurring in the interference behavior is analyzed in detail. Several performance metrics are also examined by using the computed interference distributions. In particular, the effects of the singularity at 0 on bit error rate, packet success probability and wireless channel capacity are analyzed.
AB - This paper addresses the following question: how reliable is it to use the unbounded path-loss model G(d) = d -α, where α is the path-loss exponent, to model the decay of transmitted signal power in wireless networks? G(d) is a good approximation for the path-loss in wireless communications for large values of d but is not valid for small values of d due to the singularity at 0. This model is often used along with a random uniform node distribution, even though in a group of uniformly distributed nodes some may be arbitrarily close to one another. The unbounded path-loss model is compared to a more realistic bounded path-loss model, and it is shown that the effect of the singularity on the total network interference level is significant and cannot be disregarded when nodes are uniformly distributed. A phase transition phenomenon occurring in the interference behavior is analyzed in detail. Several performance metrics are also examined by using the computed interference distributions. In particular, the effects of the singularity at 0 on bit error rate, packet success probability and wireless channel capacity are analyzed.
KW - Bit error rate
KW - Bounded path-loss models
KW - Multiple-access interference
KW - Packet success probability
KW - Unbounded path-loss models
KW - Wireless channel capacity
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U2 - 10.1109/JSAC.2009.090906
DO - 10.1109/JSAC.2009.090906
M3 - Article
AN - SCOPUS:84055212368
SN - 0733-8716
VL - 27
SP - 1078
EP - 1092
JO - IEEE Journal on Selected Areas in Communications
JF - IEEE Journal on Selected Areas in Communications
IS - 7
M1 - 5226961
ER -