📄 awgn.m
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%%*************************************************************************
%%此程序用来仿真OFDM系统在AWGN信道中的误码特性
%%Function information:
%%
%%-------------------------------------------------------------------------
%% Created by Wei Zhao 2003-04-17 (Version 1.0)
%%-------------------------------------------------------------------------
%% Recreated by Kunji Wang
%%*************************************************************************
%%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
%% MAIN PROGRAM
%%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
clear;
clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% System Parameters
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NumOfSubcarrier = 64;
LengthOfGI = 16; % the subcarriers GI(guard interval)contains
modulation_mode = 4;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Simulation Parameters
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
NumOfSymbolPerFrame=5;
NumOfFrames=100;
SNR_in_dB=[0:2:10];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Simulation Starting!!!
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
tic;
for counter=1:length(SNR_in_dB)
P=1; % energy per symbol
snr=10^(SNR_in_dB(counter)/10); % signal to noise ratio
sgma=sqrt(P/(2*snr)); % noise variance
%Clear the all the counters
NumOfErrorBit = 0;
SampleIndex=0;
for Frame_counter = 1:NumOfFrames
%--------------------------------------------------------------------------------------------
% Tx
%--------------------------------------------------------------------------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Source Bit Sequence
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Source_Bits=randint(1,2*NumOfSubcarrier*NumOfSymbolPerFrame);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% QPSK Modulation
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Modulated_Sequence=modulation(Source_Bits,modulation_mode);
R_Modulated_Sequence=reshape(Modulated_Sequence,NumOfSubcarrier,NumOfSymbolPerFrame);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% IFFT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
IFFT_Out_Data(:,:) =sqrt(NumOfSubcarrier)* ifft (R_Modulated_Sequence);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% adding guard interval for DATA
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
GI_Added_Frame(1:LengthOfGI,:) = IFFT_Out_Data((NumOfSubcarrier-LengthOfGI+1):NumOfSubcarrier,:);
GI_Added_Frame((LengthOfGI+1):(NumOfSubcarrier+LengthOfGI),:) = IFFT_Out_Data(1:NumOfSubcarrier,:);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% P -> S
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Serial_Signal = reshape(GI_Added_Frame,1,NumOfSymbolPerFrame*(NumOfSubcarrier+LengthOfGI));
%%%------------------------------------------------------------------------------------------------------------
%% CHANNEL
%%%------------------------------------------------------------------------------------------------------------
%--------------------------------------------------------------------------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% AWGN channel
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:NumOfSymbolPerFrame*(NumOfSubcarrier+LengthOfGI)
[n_I n_Q]=gngauss(sgma);
noise(i)=n_I+j*n_Q;
end
Noised_Transmited_Signal=Serial_Signal+noise;
%--------------------------------------------------------------------------------------------
% Rx
%--------------------------------------------------------------------------------------------
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Remove the GI
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for jj=1:NumOfSymbolPerFrame
for ii=1:NumOfSubcarrier
GI_Removed_Rx_Signal(ii+(jj-1)*NumOfSubcarrier)=Noised_Transmited_Signal(LengthOfGI*jj+ii+(jj-1)*NumOfSubcarrier);
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% S -> P
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Parallel_Rx_Signal = reshape(GI_Removed_Rx_Signal,NumOfSubcarrier,NumOfSymbolPerFrame);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% FFT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Freq_Rx_Signal = fft(Parallel_Rx_Signal)/sqrt(NumOfSubcarrier);
Demod_In_Data(1:NumOfSubcarrier,1:NumOfSymbolPerFrame) = Freq_Rx_Signal(1:NumOfSubcarrier,1:NumOfSymbolPerFrame);
FFT_Out = conj(Demod_In_Data(:,1:NumOfSymbolPerFrame)');
Serial_Output = reshape(Demod_In_Data,1,NumOfSubcarrier*NumOfSymbolPerFrame);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Demodulation
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Demod_Sequence= demodulation(Serial_Output,modulation_mode);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Calculate the BER
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for jj = 1:(length(Source_Bits))
if Demod_Sequence(jj) ~= Source_Bits(jj)
NumOfErrorBit = NumOfErrorBit + 1;
end
end
end
BER(counter) = NumOfErrorBit/(NumOfFrames*NumOfSubcarrier*2*NumOfSymbolPerFrame)
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Simulation Completed
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
elapse=toc
clock_time = clock;
present = fix(clock_time)
%---------------------------------------------%
%% Draw BER figure
%---------------------------------------------%
h=figure;
semilogy(SNR_in_dB,BER,'ro-');
xlabel('SNR(dB)');
ylabel('BER(bit error rate)');
title( 'BER performance of OFDM in AWGN Channel');
grid on ;
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