Analytical SIR for cross layer channel model

This paper presents a new generalized path loss equation that takes in to account both small-scale multipath fading as well as large-scale path loss including lognormal shadowing. The probability density function (pdf) of the signal to interference ratio (SIR) for wireless networks with Nakagami-m channel model is analytically derived using the new path loss equation. We choose the Nakagami-m channel fading model because it encompasses a large class of fading channels. Using convolution, Fourier or Mellin transforms, the results obtained for a single interference scenario can be extended to multiple interference scenario. The results presented show good agreement between the analytical and Monte Carlo based methods.