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| clear; close all; clc;
L = 1:1000; N = 16; v = 40 / 3.6; f_c = 800e6; C = physconst('lightspeed'); R = 9600;
ramda = C / f_c; T = 1 / R; FDT = v * f_c / C * T;
theta = zeros([N, 1]); for n = 1 : N if(n == 1) theta(n) = rand() * 2 * pi / 16; else theta(n) = theta(n - 1) + rand() * 2 * pi / 16; end end
phi = rand([N, 1]) * 2 * pi;
alpha = 2 * pi * FDT * cos(theta);
k = 1 : 1000;
Fk = exp(1j * ((alpha * k) + phi)); Fk = sum(Fk, 1) / sqrt(N); Fk = 20 * log10(abs(Fk));
figure(1); plot(Fk); xlabel('k'), ylabel('F(k)/dB');
X = 1 : 100; Y = 1 : 100;
F = zeros(100, 100); for x = X for y = Y F(x, y) = abs(sum(exp(1j * ((y / 100 * cos(theta) - x / 100 * sin(theta)) * 2 * pi / ramda + phi))) / sqrt(N)); end end
figure(2); mesh(F); xlabel('x'), ylabel('y'), zlabel('F(x, y)');
snr_in_db = 0 : 20; M = 1e6;
data = zeros([M, 1]); for i = 1 : M temp = rand(); if(temp > 0.5) data(i) = 1; else data(i) = 0; end end
signal = zeros([M, 1]);
for i = 1 : M signal(i) = 2 * data(i) - 1; end
pf = zeros([length(snr_in_db), 1]); for i = 1 : length(snr_in_db) numoferr = 0; k = 1 : M; Fk = exp(1j * ((alpha * k) + phi)); Fk = sum(Fk, 1) / sqrt(N); rk = awgn(signal .* Fk', snr_in_db(i)); dk = real(rk .* conj(Fk')); for k = 1 : M if (dk(k) > 0) a_cd = 1; else a_cd = 0; end if (a_cd ~= data(k)) numoferr = numoferr + 1; end end pf(i) = numoferr / M; end
pa = zeros([length(snr_in_db), 1]); for i = 1 : length(snr_in_db) numoferr = 0; snr = power(10, snr_in_db(i) / 10);
rk = signal + wgn(length(signal), 1, 10 * log10(1 / 2 / snr)); dk = rk; for k = 1 : M if (dk(k) > 0) a_cd = 1; else a_cd = 0; end if (a_cd ~= data(k)) numoferr = numoferr + 1; end end pa(i) = numoferr / M; end
figure(3); semilogy(snr_in_db, [pf, pa]); grid on; xlabel('SNR'), ylabel('BER');
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