# Matlab Code for Performance Analysis (BER vs Eb_N0) of BPSK, QPSK & 16QAM, on 4G LTE

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Theman JIrnadu on 17 Feb 2019
Answered: Zinan Nashat Zamil on 18 Dec 2022
Please can someone kindly help to edit this code i got from Nischay Malhan (youtube account) to fit in for BER performance evaluation of bpsk, qpsk and 16qam on 4G LTE. Thank you you assist.
The code below:
clc;
close all;
EbN0dB=-4:1:24;
EbN0lin=10.^(EbN0dB/10);
colors={'k-*','g-o','r-h','c-s','m-s','y-*','k-p','b:s','m:d','g:p'};
index=1;
%BPSK
BPSK = 0.5*erfc(sqrt(EbN0lin));
plotHandle=plot(EbN0dB,log10(BPSK),char(colors(index)));
set(plotHandle,'LineWidth',1.5);
hold on;
index=index+1;
%M-PSK
m=2:1:5;
M=2.^m;
for i=M,
k=log2(i);
berErr = 1/k*erfc(sqrt(EbN0lin*k)*sin(pi/i));
plotHandle=plot(EbN0dB,log10(berErr),char(colors(index)));
set(plotHandle,'LineWidth',1.5);
index=index+1;
end
%Binary DPSK
Pb = 0.5*exp(-EbN0lin);
plotHandle = plot(EbN0dB,log10(Pb),char(colors(index)));
set(plotHandle,'LineWidth',1.5);
index=index+1;
%Differential QPSK
a=sqrt(2*EbN0lin*(1-sqrt(1/2)));
b=sqrt(2*EbN0lin*(1+sqrt(1/2)));
Pb = marcumq(a,b)-1/2.*besseli(0,a.*b).*exp(-1/2*(a.^2+b.^2));
plotHandle = plot(EbN0dB,log10(Pb),char(colors(index)));
set(plotHandle,'LineWidth',1.5);
index=index+1;
%M-QAM
m=2:2:6;
M=2.^m;
for i=M,
k=log2(i);
berErr = 2/k*(1-1/sqrt(i))*erfc(sqrt(3*EbN0lin*k/(2*(i-1))));
plotHandle=plot(EbN0dB,log10(berErr),char(colors(index)));
set(plotHandle,'LineWidth',1.5);
index=index+1;
end
legend('BPSK','QPSK','8-PSK','16-PSK','32-PSK','D-BPSK','D-QPSK','4-QAM','16-QAM','64-QAM');
axis([-4 24 -8 0]);
set(gca,'XTick',-4:1:24);
ylabel('Probability of BER Error - log10(Pb)');
xlabel('Eb/N0 (dB)');
title('Probability of BER Error log10(Pb) Vs Eb/N0');
grid on;
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### Accepted Answer

Sriram Tadavarty on 5 Jan 2021
Edited: Darel on 13 Jul 2021
Hi Theman,
Bit error rate (BER) performance of a modulation scheme is independent of the technology used.
To get BER of PDSCH in LTE, you can look after this page. Do note that this example includes Turbo coding and HARQ, both of which can impact BER.
Hope this helps.
Regards,
Sriram
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### More Answers (2)

Kulith udara on 3 Jun 2022
thanks man
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Zinan Nashat Zamil on 18 Dec 2022
how do i run this code?
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