Abstract
This paper analyzes the carrier-to-interference ratio (CIR) of the so-called shotgun cellular systems (SCSs) in $$\tau $$ dimensions ( $$\tau =1, 2,$$ and 3). SCSs are wireless communication systems with randomly placed base stations (BSs) over the entire plane according to a Poisson point process in $$\tau $$ dimensions. Such a system can model a dense cellular or wireless data network deployment, where locations of BSs end up being close to random due to constraints other than optimal coverage. In this paper we apply SCSs in $$\tau $$ dimensions and also, in addition to path-loss and shadow fading, consider Rayleigh fading as a most commonly used distribution to model multi-path fading, and analyze the CIR over the composite fading channel [i.e., Rayleigh–Lognormal (or Suzuki) fading channel], and determine a generalized expression for the distribution of CIR and obtain the tail probability of CIR.
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