필터 지우기
필터 지우기

How to get ber vs snr graph of received signal?

조회 수: 6 (최근 30일)
Dipsikha Roy
Dipsikha Roy 2021년 4월 24일
clc;
M =8; %here we initialize the number of constellation point of qam
no_of_data_bits=1024;
Fm=10^6;%Max freq
block_size = 16; %Size of each OFDM block to add cyclic prefix
cp_len = floor(0.1 * block_size); %Length of the cyclic prefix
data_source= abs(round(randn(1,no_of_data_bits)));%here we take random normal function
figure(1);
x=1:no_of_data_bits;
stem (x*(1/Fm),data_source);
grid minor;
xlabel('time(Microsecond)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
title('Transmitted Data','Fontsize',16);%here we plot that transmitted data
qam_modulated_data = qammod(data_source, M);%here we perform 8bit qam on the random normal function
nqdata = length(qam_modulated_data);
data = 0:M-1;
scatterplot(qam_modulated_data,1,0,'r*');
[udata, uidx] = unique(qam_modulated_data);
nudata = length(udata);
grid minor
for k=1:nudata
text(real(udata(k))-0.4,imag(udata(k))+0.4,num2str(data_source(uidx(k))));
end
axis([-4 4 -2 2])
qm = abs(qam_modulated_data);
figure(3);
stem(qm)
title('MODULATED TRANSMITTED DATA','Fontsize',16);%here we plot those constellation point
y=ifft(qam_modulated_data);
figure(4);
x=1:nqdata;
stem(x(2:end)*Fm,abs(y(2:end)));
grid minor;
xlabel('freq(Mhz)','Fontsize',16);
ylabel('amplitude of ifft','Fontsize',16);
title('without hermitian ifft','Fontsize',16);
udata1(1:(M/2))=qam_modulated_data(1:(M/2)); %here we introduce another array named qam_modulated_data1 where first four element is first four constellation point
udata1(((M/2)+1):M)=qam_modulated_data(1:(M/2));% in my qam_modulated_data1 array last four point is Hermitian of first four point
figure(5);
x=1:M;
stem (x*Fm,abs(udata1));
grid minor;
xlabel('frequency(MHZ)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
title('Hermitian symmetry','Fontsize',16);
y1=ifft(udata1); %here we apply fast Fourier transform on the data of udata1
figure(6);
x=1:M;
stem(x*Fm,abs(y1)); %here we plot that fft result
grid minor;
xlabel('Freq(Mhz)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
title('even frequency suppressed output','Fontsize',16);
y1c=conj(y1);
real_y1=y1.*y1c ;
figure(7);
x=1:M;
stem(x*Fm,real_y1);
grid on;
xlabel('Freq(Mhz)','Fontsize',16);
ylabel('amplitude of real values of ifft','Fontsize',16);
title('real value of ifft','Fontsize',16);
number_of_subcarriers=M;
assert(number_of_subcarriers <= M);
cp_start=block_size-cp_len;
ifft_Subcarrier = zeros(16, number_of_subcarriers);
cyclic_prefix = zeros(cp_len, number_of_subcarriers);
Append_prefix = zeros(16+cp_len, number_of_subcarriers);
for i=1:number_of_subcarriers
S2P = reshape(qam_modulated_data, no_of_data_bits/M,M);
ifft_Subcarrier(:,i) = ifft((S2P(:,i)),16);% 16 is the ifft point
for j=1:cp_len
cyclic_prefix(j,i) = ifft_Subcarrier(j+cp_start,i);
end
Append_prefix(:,i) = vertcat( cyclic_prefix(:,i), ifft_Subcarrier(:,i));
% Appends prefix to each subcarriers
end
A1=Append_prefix(:,1);
A2=Append_prefix(:,2);
A3=Append_prefix(:,3);
A4=Append_prefix(:,4);
A5=Append_prefix(:,5);
A6=Append_prefix(:,6);
A7=Append_prefix(:,7);
A8=Append_prefix(:,8);
figure(12), subplot(8,1,1),plot(real(A1),'r'),title('Cyclic prefix added to all the odd sub-carriers','Fontsize',16)
subplot(8,1,2),plot(real(A2),'y')
subplot(8,1,3),plot(real(A3),'b')
subplot(8,1,4),plot(real(A4),'g')
subplot(8,1,5),plot(real(A5),'m')
subplot(8,1,6),plot(real(A6),'k')
subplot(8,1,7),plot(real(A7),'c')
subplot(8,1,8),plot(real(A8),'g')
xlabel('frequency(MHZ)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
%Convert to serial from parallel
[rows_Append_prefix cols_Append_prefix]=size(Append_prefix)
len_ofdm_data = rows_Append_prefix*cols_Append_prefix;
% OFDM signal to be transmitted
ofdm_signal = reshape(Append_prefix, 1, len_ofdm_data);
figure(13),
plot(real(ofdm_signal)); xlabel('Time','Fontsize',16); ylabel('Amplitude','Fontsize',16);
title('OFDM Signal','Fontsize',16);grid on;
% Frequency selective channel with 4 taps
Ts = 1e-3; % Sampling period of channel
Fd = 0; % Max Doppler frequency shift
tau = [0 .2e-9 .5e-9 1.6e-9 2.3e-9 5e-9]; % Path delays
pdb = [0.189 0.379 0.239 0.095 0.061 0.037]; % Avg path power gains
h = comm.RayleighChannel('SampleRate', 1/Ts, ...
'MaximumDopplerShift', Fd, ...
'PathDelays', tau, ...
'AveragePathGains', pdb, ...
'PathGainsOutputPort', false);
reset(h); %ResetBeforeFiltering equivalent
channel = step(h, ofdm_signal(:,j).'); %second output is PathGains
after_channel = filter(channel, 1, ofdm_signal);
awgn_noise = awgn(zeros(1,length(after_channel)),0);
recvd_signal = awgn_noise+after_channel; % With AWGN noise
%Converts from serial back to parallel
figure(14),
plot(real(recvd_signal)),xlabel('Time','Fontsize',16); ylabel('Amplitude','Fontsize',16);
title('OFDM Signal after rayleigh fading passing through channel','Fontsize',16);grid on;
recvd_signal_paralleled = reshape(recvd_signal,rows_Append_prefix, cols_Append_prefix);
%now that the signal has passed through the channel we begin to work
%backawards, but we are first going to remove the CP
% Remove cyclic Prefix
%Now that the signal has already passed through the channel, we can get rid
%of the CP
recvd_signal_paralleled(1:cp_len,:)=[];
R1=recvd_signal_paralleled(:,1);
R2=recvd_signal_paralleled(:,2);
R3=recvd_signal_paralleled(:,3);
R4=recvd_signal_paralleled(:,4);
R5=recvd_signal_paralleled(:,5);
R6=recvd_signal_paralleled(:,6);
R7=recvd_signal_paralleled(:,7);
R8=recvd_signal_paralleled(:,8);
figure(15),plot((imag(R1)),'r'),subplot(8,1,1),plot(real(R1),'r'),
title('Cyclic prefix removed from the eight sub-carriers','Fontsize',16)
subplot(8,1,2),plot(real(R2),'y')
subplot(8,1,3),plot(real(R3),'g')
subplot(8,1,4),plot(real(R4),'b')
subplot(8,1,5),plot(real(R5),'k')
subplot(8,1,6),plot(real(R6),'c')
subplot(8,1,7),plot(real(R7),'m')
subplot(8,1,8),plot(real(R8),'b')
xlabel('frequency(MHZ)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
% Fourier Transofrm of the received signal
%Similarly to how we took the IFFT of the original signal, as we are back
%tracking we are now taking the FFT
for i=1:number_of_subcarriers
fft_data(:,i) = fft(recvd_signal_paralleled(:,i),16);
end
F1=fft_data(:,1);
F2=fft_data(:,2);
F3=fft_data(:,3);
F4=fft_data(:,4);
F5=fft_data(:,5);
F6=fft_data(:,6);
F7=fft_data(:,7);
F8=fft_data(:,8);
figure(16), subplot(8,1,1),plot(real(F1),'r'),title('Fourier Transform of all the eight sub-carriers','Fontsize',16)
subplot(8,1,2),plot(real(F2),'y')
subplot(8,1,3),plot(real(F3),'g')
subplot(8,1,4),plot(real(F4),'b')
subplot(8,1,5),plot(real(F5),'K')
subplot(8,1,6),plot(real(F6),'c')
subplot(8,1,7),plot(real(F7),'m')
subplot(8,1,8),plot(real(F8),'g')
xlabel('Time(microsec)','Fontsize',16);
ylabel('amplitude','Fontsize',16);
% Conversion to serial and demodulation
%The orignal data was in series, so we are taking the demodulated data
%which is still in parallel form and we are converting back into series to
%hopefully show the same data
recvd_serial_data = reshape(fft_data, 1,(16*8));
qam_demodulated_data = qamdemod(recvd_serial_data,M);
figure(17),
subplot(2,1,1),
x=1:no_of_data_bits;
stem(x*(1/Fm),data_source);
grid on;xlabel('Data Points(time in microsec)','Fontsize',16);ylabel('Amplitude','Fontsize',16);
title('Original Data','Fontsize',16)
subplot (2,1,2),
num_sent = length(data_source);
lie_about_the_time = linspace(x(1)/Fm, x(end)/Fm, length(qam_demodulated_data));
stem(lie_about_the_time, qam_demodulated_data);
grid on;xlabel('Data Points(time in microsec)','Fontsize',16);ylabel('Amplitude','Fontsize',16);
title('Received Data','Fontsize',16);
Now I want ber vs snr graph of qam_demodulated_data,can anyone please help?

답변 (0개)

카테고리

Help CenterFile Exchange에서 Waveform Generation에 대해 자세히 알아보기

태그

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by