Using the asymptotic approximations of the Bessel function[19], one can obtain the approximation of the PDF for high SNR (e.g., as γ ̄ → ∞ ) as, f γ n ( γ n ) ≐ − 1 γ ̄ ln γ n γ ̄, if L = 1 ; 1 ( L − 1 ) γ ̄, if L > 1. (9).
By defining a packet error outage metric, we showed how to use the asymptotic approximation to derive a performance evaluation of systems subject to both fading and shadowing effects simultaneously.
We finally use the asymptotic approximation to derive the optimal power allocation for different relaying protocols, where we derive complementary results to [10-12] [10-12]ay channels where forl cooperelayn is not techannelsy achievable.
We used the asymptotic approximation to h n, k(t; N) when both n ≥ 40 and tD ≤ 0.1, and we used Equation 1 otherwise.
The national average for coverage was used as a target value, and the 95% and 99.8% control limits were plotted around it using the asymptotic normal approximation, with a variance inflation factor for extra-binomial variation (details available from NJM).
b Using the asymptotic standard error assuming the null hypothesis.
It can also be of use when the asymptotic approximation does not exist, which is the case for the log-normal fading model whose p.d.f.f
Using the formal asymptotic approximation of the Mode I stress intensity factor for an edge crack in a thermoelastic half plane containing several small voids obtained in [Nieves, M.J., Movchan, A.B., and Jones, I.S., 2011.
This approach uses the asymptotic Chi-square approximation to the log-ratio, which is applicable in these contexts as described in their paper (Hu and Smyth, 2009).
