📄 ofdm3.m
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% Faculty of Engineering, University of Fukui. 2003/11/11
% Coded by Sokthai Chan (sokthai@msn.com)
% OFDM signal and its spectrum ( Guard Interval insertion )
% -------------------------------------------------------------------------
% 本程序中得到的收端OFDM信号的频谱波形,是与其发端信号的排步有关的。在发端的
% 载波安排上,128个载波有前后各32个载波是null载波(如果这前后各32各载波是带外频段,
% 那么理论上它们都应该是零!),中间的64个载波是数据载波。这样的排步很明显就是一个
% 两边低,中间高的频谱形式。所以,收端也应该是这个轮廓。
% -------------------------------------------------------------------------
% revised by lavabin 2006.07.30
% -------------------------------------------------------------------------
clc;clear all;close all;echo off;tic;
% -------------------------------------------------------------------------
% Parameter Definition
% -------------------------------------------------------------------------
Fd = 1; % symbol rate (1Hz)
Fs = 1*Fd; % number of sample per symbol
M = 4; % kind(range) of symbol (0,1,2,3)
Ndata = 1024; % all transmitted data symbol
Sdata = 64; % 64 data symbol per frame to ifft
Slen = 128; % 128 length symbol for IFFT
Nsym = Ndata/Sdata; % number of frames -> Nsym frame
GIlen = 144; % symbol with GI insertion GIlen = Slen + GI
GI = 16; % guard interval length
% -------------------------------------------------------------------------
% Vector Initialization
% -------------------------------------------------------------------------
X = zeros(Ndata,1);
Y1 = zeros(Ndata,1);
Y2 = zeros(Ndata,1);
Y3 = zeros(Slen,1);
z0 = zeros(Slen,1);
z1 = zeros(Ndata/Sdata*Slen,1);
g = zeros(GIlen,1);
z2 = zeros(GIlen*Nsym,1);
z3 = zeros(GIlen*Nsym,1);
% random integer generation by M kinds
X = randint(Ndata, 1, M);
% digital symbol mapped as analog symbol
% Y1 is a Ndata-by-2 matrix, is changed into Y2 by "amodce"
Y1 = modmap(X, Fd, Fs, 'qask', M);
% covert to complex number
Y2 = amodce(Y1,1,'qam');
% figure(1);
% scatterplot(Y2,length(Y2),0,'bo');grid on;
scatterplot(Y2,Fd,0,'bo');grid on;
title('4-QAM Constellation');
Tx_spectrum = zeros(size(Y3));
for j=1:Nsym;
for i=1:Sdata;
Y3(i+Slen/2-Sdata/2,1)=Y2(i+(j-1)*Sdata,1);
Tx_spectrum = Tx_spectrum + abs(Y3);
end
z0=ifft(Y3);
for i=1:Slen; % generate time-domain vector, z1, without GI
z1(((j-1)*Slen)+i)=z0(i,1);
end
%
for i=1:Slen;
g(i+16)=z0(i,1);
end
for i=1:GI;
g(i)=z0(i+Slen-GI,1);
end
for i=1:GIlen; % generate time-domain vector, z2, with GI
z2(((j-1)*GIlen)+i)=g(i,1);
end
end
% graph on time domain
figure(2);
f = linspace(-Sdata,Sdata,length(z1));
plot(f,abs(z1));
Y4 = fft(z1); % FFT operation, at receiver
% if Y4 is under 0.01 Y4=0.001
for j=1:Ndata/Sdata*Slen;
if abs(Y4(j)) < 0.01
Y4(j)=0.01;
end
end
Y4 = 10*log10(abs(Y4)); % Y4 is used for spectrum display.
% graph on frequency domain
figure(3);
f = linspace(-Sdata,Sdata,length(Y4));
plot(f,Y4);grid on;
axis([-Slen/2 Slen/2 -20 20]);
title('Received OFDM signal spectrum');
figure(4);
f = linspace(-Sdata,Sdata,length(Y3));
plot(f,abs(Y3),'b-','LineWidth',6);grid on;
axis([-Slen/2 Slen/2 -2 2]);
title('Transmitted OFDM signal spectrum');
simulation_time = toc
% -------------------------------------------------------------------------
% End of Script
% -------------------------------------------------------------------------
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