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For a given channel fading, the average achievable multicast rate of ECOMF,, can be optimized by selecting and.
As shown in (5), this effective multicast rate of the BU opportunistic approach is likely to be reduced when increases.
Using Normal approximation to in (27), the effective multicast rate of ECOMP can be rewritten as (A1).
Again, I2DO has the best performance and it can achieve almost twice the multicast rate of the SDR-based scheme.
As a result, the average achievable multicast rate of the ECOMF scheme with RS is given by (23).
Therefore, effectively, the average achievable multicast rate of the ECOM scheme with RS code is given by (27).
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In this part, an analytical derivation is given to compare the average achievable multicast rates of ECOMF and ECOMP.
Numerical results illustrate that for small multicast group size, full channel gain knowledge can offer better multicast throughput than partial channel knowledge; however, for large group size, the difference in multicast rates of these two cases is just negligible.
Performance Comparison. Figure 12 compares the effective multicast rates of the WU, BU, and ECOMP schemes in a 5-tap multipath fading environment for a wide range of SNR.
The proposed algorithm facilitates the optimisation of the wireless multicast rate, data flow of wireless links, energy supply and lifetime of nodes through a novel cross-layer design.
Then, we also plot the achieved secrecy rates and the approximated secrecy rates in Fig. 2. The general observation of Fig. 1 is also applicable to Fig. 2. Fig. 1 DC algorithm: convergence of the multicast rate Fig. 2 DC algorithm: convergence of the secrecy rate.
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