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ofdm_fading.m
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ofdm_fading.m
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%%%%%%%%%%%%%%%%%%%%% OFDM仿真 %%%%%%%%%
%%%%%%%%%%%%%%%%%%%%% ofdm_fading.m %%%%%%%%%
%%%%%%%%% data:2020年10月16日 author:飞蓬大将军 %%%%%%%%%%
%%%%%程序说明
%%%一径衰落信道下的OFDM传输
%%%% 仿真环境
%软件版本:MATLAB R2019a
%%% sim系列说明
%********************** 程序主体 ************%
%%%%%%%%%%%%%%%%%%%%% 参数设置 %%%%%%%%%%%%%%%%%%%
para = 128; %Number of parallel channel to transmit
fftlen = 128; %FFT length
noc = 128; %Number of carrier
nd = 6; %Number of information OFDM symbol for one loop
ml = 2; %Modulation:QPSK
sr = 250000; %Symbol rate 符号速率
br = sr.*ml; %Bit rate per carrier
gilen = 32; %length of guard interval
ebn0_temp = 3:1:10;
for kkk = 1:length(ebn0_temp)
ebn0 = ebn0_temp(kkk); %Eb/No
%%%%%%%%%%%%%%%%%%%%%%%%%% Fading initialization %%%%%%%%%%%%%%
%time resolution
tstp = 1/sr/(fftlen+gilen);
%每个径的到达时间
itau = [0]; %Delay time for each multipath fading
%每个径的平均功率
dlvl = [0]; %Attenuation level for each multipath fading
n0 = [6]; %Number of waves in order to generate each multipath fading
th1 = [0.0]; %Initialized phase for each multipath fading
%Number of fading counter to skip
itnd0 = nd*(fftlen+gilen)*10;
%Initial value of fading counter
itnd1 = [1000];
now1 = 1;
%Maximum Doppler frequency
fd = 320;
%the variable flat
flat = 1;
%%%%% flat = 1, 只有幅度衰落
%%%%% flat = 0, 有幅度和相位衰落
%%%%%%%%%%%%%%%%%%%%% 主循环 %%%%%%%%%%%%%
nloop = 10000; %Number of sumulation loops
noe = 0; %Number of error data
nod = 0; %Number of transmitted data
eop = 0; %Number of error packet
nop = 0; %Number of transmitted packet
for iii = 1:nloop
%%%%%%%%%%%%%%%%% 发射机 %%%%%%%%%%%%%%%%%%%
seldata = rand(1,para*nd*ml)>0.5; %串行数据
paradata = reshape(seldata,para,nd*ml); %串并转换
[ich,qch] = qpskmod(paradata,para,nd,ml); %调制
kmod = 1/sqrt(2);
ich1 = ich.*kmod;
qch1 = qch.*kmod;
%%%%%%%%%%%% IFFT %%%%%%%%%%
x = ich1 + qch1 *1j;
% spow1 = sum(sum(ich1.^2+ qch1.^2))/nd./para;
y = ifft(x);
ich2 = real(y);
qch2 = imag(y);
% spow2 = sum(sum(ich2.^2+ qch2.^2))/nd./para;
%%%%%%%% 添加保护间隔 %%%%%%%%
[ich3,qch3] = giins(ich2,qch2,fftlen,gilen,nd);
fftlen2 = fftlen + gilen;
%**************** Attenuation Calculation **************
spow = sum(ich3.^2+ qch3.^2)/nd./para;
attn = 0.5*spow*sr/br*10.^(-ebn0/10);
attn = sqrt(attn);
%*************** 衰落信道 Fading channel ***************%
[ifade,qfade] = sefade(ich3,qch3,itau,dlvl,th1,n0,itnd1,now1,length(ich3),tstp,fd,flat);
%%%%
itnd1 = itnd1 +itnd0;
%*********************** 接收机 *******************%
%%%%%%%%%% AWGN addition %%%%%%%%%
[ich4,qch4] = comb(ifade,qfade,attn);
%%%%%%%% 去掉保护间隔 %%%%%%%%
[ich5,qch5] = girem(ich4,qch4,fftlen2,gilen,nd);
%%%%%%%%%%%%%% FFT %%%%%%%%
rx = ich5 + qch5.*1i;
ry = fft(rx);
ich6 = real(ry);
qch6 = imag(ry);
%%%%%%%%%%%%%% demoluation %%%%%%%%%%%%%%
ich7 = ich6./kmod;
qch7 = qch6./kmod;
demodata = qpskdemod(ich7,qch7,para,nd,ml);
%%%%%%%%%%%%%% 并串转换 %%%%%%%%%
demodata1 = reshape(demodata,1,para*nd*ml);
%%%%%%%%%%%%%%% Bit Error Rate %%%%%%%%%%%
noe2 = sum(abs(demodata1-seldata));
nod2 = length(seldata);
%%%%cumulative the number of error and data in noe and nod
noe = noe + noe2;
nod = nod + nod2;
%%%计算PER
if noe2~=0
eop = eop +1;
% else
% eop = eop;
end
nop = nop + 1;
% fprintf('%f\t%e\t%d\n',iii,noe2/nod2,eop);
% fprintf('%f\t%e\t%d\n',iii,noe2/nod2,eop);
%
end
%************** output result *************
per = eop/nop;
ber = noe/nod;
fprintf('%f\t%e\t%e\t%d\t\n',ebn0,ber,per,nloop);
fid = fopen('BERofdm.dat','a');
fprintf(fid,'%f\t%e\t%e\t%d\t\n',ebn0,ber,per,nloop);
fclose(fid);
end
%************************* 画误码率曲线进行对比 ******************%
ebn0 = 3:1:10;
rayleign_one_path_theory = [0.0919131757263162,0.0771369160563911,0.0641826854495229,0.0529988839256387,0.0434744067460626,0.0354590676278380,0.0287823671004334,0.0232687053772039];
rayleigh_flat_0 = [1.379502e-01,1.215418e-01,1.059700e-01,9.183802e-02,7.866901e-02,6.675632e-02,5.598379e-02,4.649043e-02];
semilogy(ebn0,rayleign_one_path_theory,'-*',ebn0,rayleigh_flat_0,'-+');
xlabel('比特信噪比');
ylabel('误码率');
title('不同信噪比下误码率仿真曲线');
legend('理论曲线','实验曲线');
grid on;
%*********** 1径瑞利衰落下的OFDM采用BPSK调制的误码率值 **********%
%%%%%%%%%%%%%%%%%%%%%%% 理论值 **************%
%%%%%%%%%%%%% EbN0(dB) 误码率
%%%%%%%%%%%%% 3 0.125000000000000
%%%%%%%%%%%%% 4 0.100000000000000
%%%%%%%%%%%%% 5 0.0833333333333333
%%%%%%%%%%%%% 6 0.0714285714285715
%%%%%%%%%%%%% 7 0.0625000000000000
%%%%%%%%%%%%% 8 0.0555555555555556
%%%%%%%%%%%%% 9 0.0500000000000000
%%%%%%%%%%%%% 10 0.0454545454545455
%%%%%%%%%%%%%%%%%%%%%%% 实验值 **************%
% flat = 0
%%%%%%%%%%%%% EbN0(dB) 误码率 误包率 循环次数
% % % % % 3.000000 4.999334e-01 1.000000e+00 10000
% % % % % 4.000000 5.001447e-01 1.000000e+00 10000
% % % % % 5.000000 4.998994e-01 1.000000e+00 10000
% % % % % 6.000000 5.001079e-01 1.000000e+00 10000
% % % % % 7.000000 5.001012e-01 1.000000e+00 10000
% % % % % 8.000000 5.000331e-01 1.000000e+00 10000
% % % % % 9.000000 5.001562e-01 1.000000e+00 10000
% % % % % 10.000000 4.999725e-01 1.000000e+00 10000
% flat = 1
%%%%%%%%%%%%% EbN0(dB) 误码率 误包率 循环次数
% % % % % % 3.000000 1.379502e-01 9.422000e-01 10000
% % % % % % 4.000000 1.215418e-01 9.060000e-01 10000
% % % % % % 5.000000 1.059700e-01 8.622000e-01 10000
% % % % % % 6.000000 9.183802e-02 8.075000e-01 10000
% % % % % % 7.000000 7.866901e-02 7.536000e-01 10000
% % % % % % 8.000000 6.675632e-02 6.931000e-01 10000
% % % % % % 9.000000 5.598379e-02 6.359000e-01 10000
% % % % % % 10.000000 4.649043e-02 5.725000e-01 10000