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online_windowed_DMD_ERP.m
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online_windowed_DMD_ERP.m
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clc
clearvars
close all
resultdir_all='Results';
if (~exist(resultdir_all,'dir'))
mkdir(resultdir_all);
end
figures_resultdir_all=strcat(resultdir_all,'\Figures');
if (~exist(figures_resultdir_all,'dir'))
mkdir(figures_resultdir_all);
end
mat_resultdir_all=strcat(resultdir_all,'\mat files');
if (~exist(mat_resultdir_all,'dir'))
mkdir(mat_resultdir_all);
end
ERP_Recon_figures=strcat(figures_resultdir_all,'\ERP Reconstruction');
if (~exist(ERP_Recon_figures,'dir'))
mkdir(ERP_Recon_figures);
end
ERP_Pred_figures=strcat(figures_resultdir_all,'\ERP Prediction');
if (~exist(ERP_Pred_figures,'dir'))
mkdir(ERP_Pred_figures);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%% Weights
weight_vec=[0.1 0.2 0.4 0.8];weight_str_vec={''}; weight_legends={''};
for w_idx=1:length(weight_vec)
weight_str_vec{w_idx}=strcat('w',num2str(weight_vec(w_idx)*100));
weight_legends{w_idx}=strcat('\rho=',num2str(weight_vec(w_idx)));
end
FS=512;dt=1/FS;initail_pre_event_time=1;
wind=floor(initail_pre_event_time*FS);future_pred_samples=FS/8;
elec_FCz_num=47;
data_event_str={'correcteeg_BPF_110','erroneouseeg_BPF_110'};
event_name={'Correct','Erroneous'};
reg_data_dir=strcat('processed data\');
for event_idx1=1:length(event_name)
eegcarhpfsetfile=strcat(reg_data_dir,data_event_str{event_idx1},'.mat');
fprintf('loading data for %s events.... \n',event_name{event_idx1});
EEG=matfile(eegcarhpfsetfile);
Data=EEG.ERP;Time=EEG.time;
test_time_f=0.40;
[~,erp_ind_f]=min(abs(Time-test_time_f));erp_ind_f=erp_ind_f+wind;
test_time_0=0.20;
[~,erp_ind_0]=min(abs(Time-test_time_0));erp_ind_0=erp_ind_0+wind;
Datax=Data(:,1:end-1);
Datay=Data(:,2:end);
[n_data,m_data]=size(Datax);
Data_x_wind=Datax(:,1:wind);Data_y_wind=Datay(:,1:wind);
alpha_weight=10;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%% Initial DMD model
cov_A00=alpha_weight*eye(n_data);Ar00=zeros(n_data);
for sample_idx0=1:wind
xu=Data_x_wind(:,sample_idx0); yu=Data_y_wind(:,sample_idx0);
err1=(yu-Ar00*xu);
gamma=1/(1+ xu'*cov_A00*xu);
Ar01=Ar00 +gamma*err1*xu'*cov_A00;
cov_A01=cov_A00-gamma*(cov_A00*xu)*(xu'*cov_A00');
Ar00=Ar01;
cov_A00=cov_A01;
end
Ar10= Ar00;cov_A0=cov_A00;
err_rms_pred=zeros(length(1:m_data-wind),1);
err_time_pred=zeros(length(1:m_data-wind),1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%% Online Weighted DMD
for sample_idx=1: m_data-(wind+future_pred_samples)
fprintf('iteration # %d out of %d .... \n',sample_idx,m_data-(wind+future_pred_samples));
UX=[Datax(:,sample_idx) Datax(:,sample_idx+wind)];
VX=[Datay(:,sample_idx) Datay(:,sample_idx+wind)];
C=[-1 0;0 1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%% Weighted Online DMD Model Update
Err1=(VX-Ar10*UX);
Gamma=eye(2)/((eye(2)/(C))+UX'*cov_A0*UX);
Ar11=Ar10+Err1*Gamma*UX'*cov_A0;
cov_A1=cov_A0-(cov_A0*UX)*Gamma*(UX'*cov_A0);
Ar10=Ar11;
cov_A0=cov_A1;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% DMD model
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
A=Ar10;[W_telda,D_telda]=eig(A);lambda_telda=diag(D_telda);
omega_telda=log(lambda_telda)/dt;
phi=W_telda;
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%ERP Prediction
if (sample_idx+wind==erp_ind_0)
x1=Datax(:,erp_ind_0-1);b= pinv(phi)*x1;time=(1:erp_ind_f-erp_ind_0+1)./FS;
time_dynamics=zeros(length(b),length(time));
for iter=1:length(time)
time_dynamics(:,iter)=(b.*exp(omega_telda*time(iter)));
end
erp_hat=real(phi*time_dynamics);
R_y=max(Datay(elec_FCz_num,erp_ind_0:erp_ind_f))-min(Datay(elec_FCz_num,erp_ind_0:erp_ind_f));
erp_pred_rms=(rms(erp_hat(elec_FCz_num,:)-Datay(elec_FCz_num,erp_ind_0:erp_ind_f)))/R_y;
eeg_hat_best=erp_hat(elec_FCz_num,:);
dynamics_windowed_online.(event_name{event_idx1}).rms_erp_pred=erp_pred_rms;
x1=Datax(:,wind);b= pinv(phi)*x1;time=(1:erp_ind_f-wind)./FS;
time_dynamics=zeros(length(b),length(time));
for iter=1:length(time)
time_dynamics(:,iter)=(b.*exp(omega_telda*time(iter)));
end
erp_hat=real(phi*time_dynamics); erp_hat=erp_hat(elec_FCz_num,:);
dynamics_windowed_online.(event_name{event_idx1}).erp_pred=erp_hat';
dynamics_windowed_online.(event_name{event_idx1}).time_pred=time;
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%ERP Reconstruction
x1=Datax(:,wind);b= pinv(phi)*x1;time=(1:erp_ind_f-wind)./FS;
time_dynamics=zeros(length(b),length(time));
for iter=1:length(time)
time_dynamics(:,iter)=(b.*exp(omega_telda*time(iter)));
end
erp_hat=real(phi*time_dynamics);
eeg_recon=erp_hat(elec_FCz_num,:);
time_recon=time;
R_y=max(Datay(elec_FCz_num,erp_ind_0:erp_ind_f))-min(Datay(elec_FCz_num,erp_ind_0:erp_ind_f));
err_rms_recon=(rms(erp_hat(elec_FCz_num,erp_ind_0-wind:erp_ind_f-wind)-Datay(elec_FCz_num,erp_ind_0:erp_ind_f)))/R_y;
dynamics_windowed_online.(event_name{event_idx1}).erp_recon=erp_hat(elec_FCz_num,:);
dynamics_windowed_online.(event_name{event_idx1}).time_recon=time_recon;
dynamics_windowed_online.(event_name{event_idx1}).rms_erp_recon=err_rms_recon;
dynamics_windowed_online.(event_name{event_idx1}).eegdata_rec=Datay(elec_FCz_num,wind+1:erp_ind_f);
end
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% Plotting Predicted ERP
close all
fig_num=0;
ymax=[5 10];ymin=[-2,-5];
pred_rms_mat=zeros(1,event_idx1);
for event_idx2=1:event_idx1
fig_num=fig_num+1;
H_pred_erp=figure(fig_num);
set(gcf,'PaperPositionMode', 'manual','Position',get(0, 'Screensize'),'PaperOrientation', 'landscape');
pred_rms_mat(event_idx2)=dynamics_windowed_online.(event_name{event_idx2}).rms_erp_pred;
pred_time= dynamics_windowed_online.(event_name{event_idx2}).time_pred;
pred_erp= dynamics_windowed_online.(event_name{event_idx2}).erp_pred;
plot(pred_time,pred_erp, 'LineWidth',3);
hold on
plot(pred_time,dynamics_windowed_online.(event_name{event_idx2}).eegdata_rec, 'LineWidth',3);
hold off
%%%%Axes
axis_font=30;lgd_font=28;
ax=gca;
ax.YLabel.String = 'Potential(\muV)';ax.XLabel.String = 'Time(sec)';
ax.FontSize = axis_font;ax.FontWeight = 'bold';
ax.YLabel.FontSize=axis_font; ax.XLabel.FontSize=axis_font;
ax.YLabel.FontWeight='b'; ax.XLabel.FontWeight='b';
ax.XLim=[pred_time(1),pred_time(end)];
ax.YLim=[ymin(event_idx2),ymax(event_idx2)];
grid on
%%%%Legends
lgd = legend('windowed','original ERP');
lgd.Box='on';lgd.LineWidth=2;lgd.Location='north';
lgd.FontSize = lgd_font;lgd.FontWeight = 'b';lgd.Orientation='horizontal';
%lgd.NumColumns =3;
%%%%Title
ax.Title.String = sprintf('Online Windowed DMD for %s Event',event_name{event_idx2});
ax.Title.FontWeight = 'bold';ax.Title.FontSize = axis_font;
%%%%%%%
rms_thr_fig=strcat(ERP_Pred_figures,'\',event_name{event_idx2},'_online_windowed_DMD_pred.fig');
rms_thr_pdf=strcat(ERP_Pred_figures,'\',event_name{event_idx2},'_online_windowed_DMD_pred');
saveas(H_pred_erp,rms_thr_fig);
print(rms_thr_pdf,'-dpdf','-fillpage')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
end
axis_font=30;
fig_num=fig_num+1;
H_pred_rms_bar=figure(fig_num);
set(gcf,'PaperPositionMode', 'manual','Position',get(0, 'Screensize'),'PaperOrientation', 'landscape');
bar(pred_rms_mat)
%%%%Axes
ax=gca;
ax.YLabel.String = 'Normalized RMS Error';
ax.FontSize = axis_font;ax.FontWeight = 'b';
ax.YLabel.FontSize=axis_font; ax.XLabel.FontSize=axis_font;
ax.YLabel.FontWeight='b'; ax.XLabel.FontWeight='b';
ax.XTickLabel=event_name;
ax.YLim=[0,max(max(pred_rms_mat))+0.2];
grid on
%%%%Title
ax.Title.String = strcat('Online Windowed DMD');
ax.Title.FontWeight = 'bold';ax.Title.FontSize = axis_font;
%%%% Saving Image
erprms_thr_fig=strcat(ERP_Pred_figures,'\','online_windowed_DMD_pred_rms.fig');
erprms_thr_pdf=strcat(ERP_Pred_figures,'\','online_windowed_DMD_pred_rms');
saveas(H_pred_rms_bar,erprms_thr_fig);
print(erprms_thr_pdf,'-dpdf','-fillpage')
%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% Plotting Reconstructed ERP
ymax=[3 10];ymin=[-2,-4];
recon_rms_mat=zeros(1,event_idx1);
for event_idx2=1:event_idx1
fig_num=fig_num+1;
H_recon_erp=figure(fig_num);
set(gcf,'PaperPositionMode', 'manual','Position',get(0, 'Screensize'),'PaperOrientation', 'landscape');
recon_rms_mat(event_idx2)=dynamics_windowed_online.(event_name{event_idx2}).rms_erp_recon;
recon_time= dynamics_windowed_online.(event_name{event_idx2}).time_recon;
recon_eeg= dynamics_windowed_online.(event_name{event_idx2}).erp_recon;
plot(recon_time,recon_eeg, 'LineWidth',3);
hold on
plot(recon_time,dynamics_windowed_online.(event_name{event_idx2}).eegdata_rec, 'LineWidth',3);
hold off
%%%%Axes
axis_font=30;lgd_font=28;
ax=gca;
ax.YLabel.String = 'Potential(\muV)';ax.XLabel.String = 'Time(sec)';
ax.FontSize = axis_font;ax.FontWeight = 'bold';
ax.YLabel.FontSize=axis_font; ax.XLabel.FontSize=axis_font;
ax.YLabel.FontWeight='b'; ax.XLabel.FontWeight='b';
ax.XLim=[recon_time(1),recon_time(end)];
ax.YLim=[ymin(event_idx2),ymax(event_idx2)];
grid on
%%%%Legends
lgd = legend('windowed','original ERP');
lgd.Box='on';lgd.LineWidth=2;lgd.Location='north';
lgd.FontSize = lgd_font;lgd.FontWeight = 'b';lgd.Orientation='horizontal';
%lgd.NumColumns =3;
%%%%Title
ax.Title.String = sprintf('Online Windowed DMD for %s Event',event_name{event_idx2});
ax.Title.FontWeight = 'bold';ax.Title.FontSize = axis_font;
%%%%%%%
rms_thr_fig=strcat(ERP_Recon_figures,'\',event_name{event_idx2},'_online_windowed_DMD_recon');
rms_thr_png=strcat(ERP_Recon_figures,'\',event_name{event_idx2},'_online_windowed_DMD_recon');
saveas(H_recon_erp,rms_thr_fig);
print(rms_thr_png,'-dpdf','-fillpage')
end
axis_font=30;lgd_font=30;
fig_num=fig_num+1;
H_recon_rms_bar=figure(fig_num);
set(gcf,'PaperPositionMode', 'manual','Position',get(0, 'Screensize'),'PaperOrientation', 'landscape');
bar(recon_rms_mat)
%%%%Axes
ax=gca;
ax.YLabel.String = 'Normalized RMS Error';
ax.FontSize = axis_font;ax.FontWeight = 'b';
ax.YLabel.FontSize=axis_font; ax.XLabel.FontSize=axis_font;
ax.YLabel.FontWeight='b'; ax.XLabel.FontWeight='b';
ax.XTickLabel=event_name;
ax.YLim=[0,max(max(recon_rms_mat))+0.1];
grid on
%%%%Title
ax.Title.String = strcat('Online Windowed DMD');
ax.Title.FontWeight = 'bold';ax.Title.FontSize = axis_font;
%%%% Saving Image
erprms_thr_fig=strcat(ERP_Recon_figures,'\','online_windowed_DMD_recon_rms.fig');
erprms_thr_png=strcat(ERP_Recon_figures,'\','online_windowed_DMD_recon_rms');
saveas(H_recon_rms_bar,erprms_thr_fig);
print(erprms_thr_png,'-dpdf','-fillpage')