📄 qam16_basic.m
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% qam16_basic.m
%
% Simulate basic 16 QAM with AWGN
%
% 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 = 2^10; % Number of symbols htat simulates in
% each loop
IPOINT = 8; % Number of oversamples
SNR_dB = 1:12; % 仿真信噪比范围
SNR1_dB = 0:0.1:12;
%******************** 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,'*');
QAM_mod = ich + i*qch;
[ich1,qch1] = compoversamp(ich,qch,length(ich),IPOINT);
[ich2,qch2] = compconv(ich1,qch1,xh);
for ebn0 = 1:12
%******************** 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(ich2.*ich2+qch2.*qch2)/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(ich2,qch2,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,'*');
QAM_demod = ich5 + i*qch5;
%******************** 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;
ber(ebn0) = noe/nod;
end % for iii = 1:nloop
%******************** Output result *********************************
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,'*');
% %******************** end of file ***********************************
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