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% CRB_final %CRB CALCULATION clear all nFFT = 64; % fft size MSym = 64; % lenght of each OFDM block nb = 150; % number of symbols montcarlo=10; EsN0dB = [-10:5:25]; % bit to noise ratio % Discrete Fourier Transform Matrix F for iii=1:nFFT; for jjj=1:nFFT; F(iii,jjj)=(1/sqrt(nFFT))*exp(j*(2*pi*(iii-1)*(jjj-1))/nFFT); end; end; % multipath channel nTap = 3; k=0:2; multipath=exp(-(k)/10); multipath=multipath/sum(multipath); for k=1:3 ht(:,k)=(randn(1,1)+ sqrt(-1)*randn(1,1))*sqrt(0.5)*sqrt(multipath(k)); %% rayleigh fading end % computing and storing the frequency response of the channel, for use at recevier hF =sqrt(nFFT)*F(:,1:nTap)*(ht.'); hF_diag=diag(hF); % producing matrix Hh , circulant channel matrix htt=[ht(1, zeros(1,nFFT-nTap)]; for i=1:nFFT for j=1:nFFT H_cir(i,j)=htt(mod((i-j),nFFT)+1); end end nt = (1/sqrt(2))*[randn(MSym,nb)+ sqrt(-1)*randn(MSym,nb)]; %Precoding t=nFFT/4; for m=1:nFFT for q=1:nFFT if (m==q)&(m==t) W(m,q)=2; elseif m==q W(m,q)=1; elseif q==t W(m,q)=1; else W(m,q)=0; end end end P=W*(W'); % noise production b =(1/sqrt(2))*[randn(1,MSym)+ sqrt(-1)*randn(1,MSym)]; moy=mean(b); bc = b - moy; varb = (1/(MSym))*trace((diag(bc)*(diag(bc))')); %%%%%%%%%%%%%%%%%%%%%% Rs=1; for ii = 1:length(EsN0dB) noise = sqrt(((0.5*10^(-EsN0dB(ii)/10))/varb))* conj(bc'); Var = std(noise)^2; Rx=Rs* H_cir*(F')*P*F*( H_cir')+Var*eye(nFFT); for l=1:nTap for i=1:nFFT for j=1:nFFT if (mod((i-j),nFFT))==(l-1) Hl(i,j)=1; else Hl(i,j)=0; end end end Al=Rs*(Rx^(-.5))*Hl*(F')*P*F*(hF_diag')*(Rx^(-.5)); G1(:,l)=reshape((Al+(Al')),[],1); G2(:,l)=reshape((sqrt(-1)*Al-sqrt(-1)*(Al')),[],1); end v=reshape(((Rx^(-.5))*H_cir*(F')*P*F*(H_cir')*(Rx^(-.5))),[],1); u=reshape((Rx^(-1)),[],1); G=[G1 G2]; delta=[u v]; P_delta=eye(nFFT*nFFT)-delta*(((delta')*delta)^(-1))*(delta'); CRB=(1/150)*pinv((G')*P_delta*G); CRB_plot(ii)=(trace(CRB)); end plot(EsN0dB,CRB_plot) axis([-10 25 10^(-5) 10^(-1)]); [ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ] |
27Â¥2014-05-22 23:23:39
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