PROJECT TITLE :
Upper and Lower Bounds of Two-Way Opportunistic Amplify-and-Forward Relaying Channels
With the high signal-to-noise ratio (SNR) approximation, the statistical descriptions of the two-approach opportunistic relaying amplify-and-forward channels (TWOR-AF) are investigated through the suitable mathematic proof and simulations. Firstly, we obtain the tractable closed-type expressions of the cumulative distribution perform (CDF) and outage probability by defining the equivalent instantaneous end-to-finish channels variance λ _eq - k(θ ), where two ≤ θ ≤ three. Then, we have a tendency to study the performance bounds of the TWOR-AF systems. The simulations show that, in high SNR, the derivation is the tight lower sure of the outage probability when θ=a pair of, and is that the higher bound when θ=three. Finally, we have a tendency to present the approximate analysis of the outage chance by taking θ=2.3 and θ=two.five, respectively. The results show that we tend to can get the a lot of precise approximate evaluation of the systems performance when θ=a pair of.3, particularly in low SNR region. However, when θ=two.five, we tend to will approximately evaluate the upper certain of the systems performance over the entire SNR region. This yields that the TWOR-AF systems can achieve regarding 1dB of SNR gain at ten^-4 of outage chance over θ=three case.
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