📄 qam16_gain_pd.m
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% qam16_Gain_PD.m
%
% Simulate 16QAM system with Gain PD
%
% Programmed by linxiaochen
%******************** Preparatin part *******************************
sr = 256000.0; % Symbol rate
m1 = 4; % m1:Number of modulation levels
% (BPSK:m1=1, QPSK:m1=2, 16QAM:m1=4)
br = sr .* m1; % Bit rate
nd = 1024; % Number of symbols htat simulates in
% each loop
IPOINT = 8; % Number of oversamples
SNR_dB = 1:15; % 仿真信噪比范围
SNR1_dB = 0:0.1:15;
Ar = 2.0; % TWTA的Dong-Seog Han参数
Br = 1;
Ap = pi/3;
Bp = 1;
%******************** Filter initialization *************************
irfn = 21; % Number of taps
alfs = 0.5; % Rolloff factor
[xh] = hrollfcoef(irfn,IPOINT,sr,alfs,1);
% Transmitter filter coefficients
[xh2] = hrollfcoef(irfn,IPOINT,sr,alfs,0);
% Receiver filter coefficients
%******************** Data generation *******************************
data1 = rand(1,nd*m1) > 0.5; % rand:built in function
%******************** 16QAM Modulation ******************************
[ich,qch] = qammod(data1,1,nd,m1);
% figure(1);
% plot(ich,qch,'*');
[ich1,qch1] = compoversamp(ich,qch,length(ich),IPOINT);
[ich2,qch2] = compconv(ich1,qch1,xh);
%***************************************************************
%
% 预失真之前的归一化和功率回退
%
%***************************************************************
IBO_dB = 4.5; % 功率回退系数
nf_ibo = 10^(-IBO_dB/10); % 功率回退复系数
Ht_out = ich2 +i * qch2;
nf = sqrt(0.5*mean(abs(Ht_out).^2)); % 归一化系数
PD_in = nf_ibo*Ht_out/nf; % 归一化和功率回退
PD_in_Env = abs(PD_in);
PD_in_Phase = angle(PD_in);
%***************************************************************
%
% Ideal Predistortion
%
%***************************************************************
% for n=1:length(PD_in_Env)
% if (PD_in_Env(1,n)==0)
% PD_in_Env(1,n)=0.000000001;
% end;
% end;
% PD_out_Env = (1-sqrt(1-PD_in_Env.^2))./PD_in_Env;
%
% PD_out_Phase = (-pi/3)*(PD_out_Env.^2)./(1+PD_out_Env.^2) + PD_in_Phase;
%
% PD_out = PD_out_Env.*exp(j*PD_out_Phase);
%***************************************************************
%
% 增益预失真的查找表 ( LUT )
%
%***************************************************************
delta = 1/2^6; % 查找表精度
t = [delta:delta:1]; % 表格长度
Fr = (1-sqrt(1-(t/2).^2))./((t/2).^2); % 存储的幅值
Fp = (-pi/3)*((Fr.*(t/2)).^2)./(1+(Fr.*(t/2)).^2); % 存储的相位
F = Fr.*exp(j*Fp); % 增益预失真的函数
%******************************************************************
%
% 增益预失真 ( Gain Based Predistortion )
%
%******************************************************************
num = fix(PD_in_Env/delta) + 1; % 将信号对应到相应的表格
for n=1:length(num)
FF(n) = F(num(n));
end;
PD_out = PD_in.*FF;
%******************************************************************
%
% 行波管放大器 ( TWTA )
%
%*******************************************************************
PA_out_r = Ar*abs(PD_out)./(1+Br*abs(PD_out).^2); % 幅度非线性放大
PA_out_p = Ap*abs(PD_out).^2./(1+Bp*abs(PD_out).^2) + angle(PD_out); % 相位非线性放大
PA_out = PA_out_r.*exp(j*PA_out_p)/nf_ibo*nf; % 去归一化和去功率回退
PA_out_i = real(PA_out);
PA_out_q = imag(PA_out);
for ebn0 = 1:length(SNR_dB)+1
%******************** START CALCULATION *****************************
nloop = 10; % Number of simulation loops
noe = 0; % Number of error data
nod = 0; % Number of transmitted data
for iii = 1:nloop
%******************** Attenuation Calculation ***********************
spow = sum(PA_out_i.*PA_out_i+PA_out_q.*PA_out_q)/nd;
% sum:built in function
attn = 0.5*spow*sr/br*10.^(-(ebn0-1)/10);
attn = sqrt(attn);
% sqrt:built in function
%************** Add White Gaussian Noise (AWGN) *********************
[ich3,qch3] = comb(PA_out_i,PA_out_q,attn);
% add white gaussian noise
[ich4,qch4] = compconv(ich3,qch3,xh2);
sampl = irfn*IPOINT+1;
ich5 = ich4(sampl:IPOINT:length(ich4));
qch5 = qch4(sampl:IPOINT:length(qch4));
ich6 = ich5(1:1000);
qch6 = qch5(1:1000);
figure(2);
plot(ich6,qch6,'*');
%******************** 16QAM Demodulation ****************************
[demodata] = qamdemod(ich5,qch5,1,nd,m1);
%******************** Bit Error Rate (BER) **************************
noe2 = sum(abs(data1-demodata));
nod2 = length(data1);
noe = noe + noe2;
nod = nod + nod2;
end % for iii = 1:nloop
%******************** Output result *********************************
ber(ebn0) = noe/nod;
end
t1 = [0:0.1:12];
tt1=exp(t1*log(10)/10);
B1 = 3/8.*erfc(sqrt(2/5.*tt1))-9/64.*erfc(sqrt(2/5.*tt1)).*erfc(sqrt(2/5.*tt1));
t11=[0:(length(ber)-1)];
figure(3);
semilogy(t1,B1,t11,ber,'*-');
[pxx1,f1] = pwelch(Ht_out,256);
pxxdB1 = 10 * log10(pxx1 / max(pxx1));
[pxx2,f2] = pwelch(PA_out,256);
pxxdB2 = 10 * log10(pxx2 / max(pxx2));
figure(4); % OFDM调制、解调信号功率谱密度
plot(f1,pxxdB1,f2,pxxdB2,'r');
eyediagram((ich+qch*i),2);
eyediagram((ich5(1:500)+qch5(1:500)*i),2);
%******************** end of file ***********************************
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