Title :
Comments on `Expected Interference in Wireless Networks with Geometric Path Loss: A Closed-Form Approximation´
Author :
Zaidi, Syed Ali Raza ; Ghogho, Mounir ; McLernon, Desmond C.
Author_Institution :
Sch. of Electron. & Electr. Eng., Univ. of Leeds, Leeds, UK
fDate :
10/1/2011 12:00:00 AM
Abstract :
In a recent letter, Lichte et al. proposed a closed-form approximation of the expected aggregate interference caused by a random network of interferers. Modeling the positions of the latter by a Poisson point process with density λ and assuming a guard disc of radius g around the receiver, the authors derived the expected interference as 2λπ P/((α-2)gα-2) where α is the path loss exponent and P is the transmit power of each interferer. In this letter, we demonstrate that this result can be obtained by applying the well-known Campbell´s theorem in a straight-forward manner. We also point out that the Laplace transform of the aggregate interference is well known in the literature, and hence moments of the interference can be easily obtained from existing results.
Keywords :
Laplace transforms; interference (signal); radio networks; stochastic processes; Campbell theorem; Laplace transform; Poisson point process; aggregate interference; closed-form approximation; geometric path loss; interferers; wireless networks; Aggregates; Approximation methods; Indexes; Interference; Laplace equations; Stochastic processes; Wireless networks; Campbell´s theorem; Interference; Poisson process;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2011.081211.111282