Add “Randomized Stepped FR Exploiting BS of ET”
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N = 32e9;
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M = 3;
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eps = 1e-4;
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delta_1 = 24 * sqrt((M-1)/N) * log(M*N) * (2*sqrt(log(M * N) - log(eps)) + 1);
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delta_2 = 3/2 * sqrt((M-1)/N) * (2*sqrt(log(M * 2) - log(eps)) + 1);
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K = N * (1/8 - delta_1 - delta_2)^2 / (81 * M * log(M * N) * (1 + 2/3 * delta_2));
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x = 0:25;
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Ns = N * (1+randn(size(x)));
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delta_1 = 24 * sqrt((M-1)./N) * log(M.*N) * (2*sqrt(log(M .* N) - log(eps)) + 1);
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delta_2 = 3/2 * sqrt((M-1)./N) * (2*sqrt(log(M * 2) - log(eps)) + 1);
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Ks = Ns * (1/8 - delta_1 - delta_2)^2 / (81 * M * log(M .* Ns) * (1 + 2/3 * delta_2));
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rate = K .* M .* log(M .* Ns) ./ Ns;
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plot(x, rate)
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