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

VL - 27

SP - 1078

EP - 1092

JO - IEEE Journal on Selected Areas in Communications

JF - IEEE Journal on Selected Areas in Communications

SN - 0733-8716

IS - 7

M1 - 5226961

ER -