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time_test.m
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clear all
%% Synthetic stationary signal with PAC
% Synthesize a stationary signal with PAC with the following parameters
amplitude_frequency = 7; % Amplitude-giving frequency in Hz
phase_frequency = 3; % Phase-giving frequency in Hz
modulated_amp = .3; % Amplitude of the amplitude-giving signal
% relative to the phase-giving signal
nonmodulated_amp = .3; % Amplitude of the non-modulated portion of the amplitude-given signal relative to the amplitude of the modulation part
noise_amp = 0.1; % Amplitude of noise relative to the phase-giving signal
modulation_center = 5.0265; % Phase with preffered modulation
modulation_width = 0.75; % Width of modulation
regularity = .5; % Regularity of modulation
duration = 100; % Signal total duration, in seconds
sampling_rate = 500; % Sampling rate, in Hz
jitter = [15.0 1.0];
amplitude_frequencies = 1:2:30;
phase_frequencies = 2:1:10;
duration=100;
noise_amp=0.1;
fakesignal = COMODOfakesignal(duration,sampling_rate,amplitude_frequency,...
phase_frequency,modulated_amp,nonmodulated_amp,noise_amp,...
modulation_center,modulation_width,regularity);
comodulogram(fakesignal,amplitude_frequencies,phase_frequencies,sampling_rate,'FilterWidth',[2 1]);
mi=comodulogram(fakesignal,amplitude_frequencies,phase_frequencies,sampling_rate,'FilterWidth',[2 1]);
amplitude_frequency = 9; % Amplitude-giving frequency in Hz
phase_frequency = 3; % Phase-giving frequency in Hz
j=1;
interval=[0.1:0.1:1,1.5:0.5:5,6:10];
for i=interval
%subplot(5,1,j)
como=comodulogram(fakesignal,amplitude_frequency,phase_frequency,sampling_rate,'WindowType',...
'Hanning','WindowOverlap',[round(sampling_rate*i) round(sampling_rate*i)-1]);
MI(j)=mean(como);
MI_std(j)=std(como);
t=0:1/sampling_rate:length(como)/sampling_rate-1/sampling_rate;
%plot(t,como)
%hold on
j=j+1;
end
errorbar(interval(1:end-1),MI,MI_std,'r')
hold on
plot(interval(1:end-1),MI,'Linewidth',2)
xlabel('Time Window [s]','Fontsize',15)
ylabel('Modularity index')
legend('stdMI','meanMI')
%% Surrogate test
%there is a problema with the in time analysis and the sorrogate
i=0.5;
amplitude_frequency = 80; % Amplitude-giving frequency in Hz
phase_frequency = 10; % Phase-giving frequency in Hz
como=comodulogram(fakesignal,amplitude_frequency,phase_frequency,sampling_rate,'Sorrogate',10,...
'WindowType','Hanning','WindowOverlap',[round(sampling_rate*i) round(sampling_rate*i)-1],'FilterWidth',[2.5 1]);
%% look for a part of coupled activity in the trial
duration=[2,0.5,2];
noise_amp=[1,0.1,1];
signal=[];
for i=1:3
fakesignal = COMODOfakesignal(duration(i),sampling_rate,amplitude_frequency,...
phase_frequency,modulated_amp,nonmodulated_amp,noise_amp(i),...
modulation_center,modulation_width,regularity,jitter);
signal=[signal,fakesignal];
end
COMODOinspect(signal,sampling_rate,amplitude_frequency,phase_frequency,18);
comodulogram(signal,amplitude_frequencies,phase_frequencies,sampling_rate);
j=1;
for i=[0.75,1,2]
subplot(3,1,j)
j=j+1;
como=comodulogram(signal,amplitude_frequency,phase_frequency,sampling_rate,'WindowType',...
'Hanning','WindowOverlap',[sampling_rate*i sampling_rate*i-1],'FilterWidth',[2.5 1]);
t=0:1/sampling_rate:length(como)/sampling_rate-1/sampling_rate;
plot(t,como)
%hold on
end
amplitude_frequency = 80; % Amplitude-giving frequency in Hz
phase_frequency = 10;
duration=[2,0.5,2];
noise_amp=[1,0.1,1];
for j=1:100
signal=[];
for i=1:3
fakesignal = COMODOfakesignal(duration(i),sampling_rate,amplitude_frequency,...
phase_frequency,modulated_amp,nonmodulated_amp,noise_amp(i),...
modulation_center,modulation_width,regularity,jitter);
signal=[signal,fakesignal];
end
como=comodulogram(signal,amplitude_frequency,phase_frequency,sampling_rate,'WindowType',...
'Hanning','WindowOverlap',[sampling_rate sampling_rate-1],'FilterWidth',[2.5 1]);
matrix(j,:)=como;
como2=comodulogram(signal,40,15,sampling_rate,'WindowType',...
'Hanning','WindowOverlap',[sampling_rate sampling_rate-1],'FilterWidth',[2.5 1]);
matrix2(j,:)=como2;
end
t=0:1/sampling_rate:length(como)/sampling_rate-1/sampling_rate;
errorbar(t,mean(matrix),std(matrix))
hold on
errorbar(t,mean(matrix),var(matrix),'r')
plot(t,mean(matrix),'k','Linewidth',2)
axis([0 2.5 0 0.1])
%% Dependance on the overlaping window
%% longer signal with many coupling on it.
amplitude_frequency = 80; % Amplitude-giving frequency in Hz
phase_frequency = 10; % Phase-giving frequency in Hz
modulated_amp = .3; % Amplitude of the amplitude-giving signal
% relative to the phase-giving signal
nonmodulated_amp = .3; % Amplitude of the non-modulated portion of the amplitude-given signal relative to the amplitude of the modulation part
noise_amp = 0.1; % Amplitude of noise relative to the phase-giving signal
modulation_center = 5.0265; % Phase with preffered modulation
modulation_width = 0.75; % Width of modulation
regularity = .5; % Regularity of modulation
duration = 100; % Signal total duration, in seconds
sampling_rate = 500; % Sampling rate, in Hz
jitter = [15.0 1.0];
%comodulogram(fakesignal,amplitude_frequencies,phase_frequencies,sampling_rate,'FilterWidth',[2.5 1])
position=round(rand(10,1)*length(fakesignal));
for j=1:15
amplitude_frequency = 80; % Amplitude-giving frequency in Hz
phase_frequency = 10; % Phase-giving frequency in Hz
noise_amp = 0.5; % Amplitude of noise relative to the phase-giving signal
fakesignal = COMODOfakesignal(duration,sampling_rate,amplitude_frequency,...
phase_frequency,modulated_amp,nonmodulated_amp,noise_amp,...
modulation_center,modulation_width,regularity,jitter);
new_fakesignal=fakesignal;
amplitude_frequency = 80; % Amplitude-giving frequency in Hz
phase_frequency = 10; % Phase-giving frequency in Hz
for i=1:length(position)
period = COMODOfakesignal(2,sampling_rate,amplitude_frequency,...
phase_frequency,modulated_amp,nonmodulated_amp,0.1,...
modulation_center,modulation_width,regularity,jitter);
new_fakesignal=[new_fakesignal(1:position(i)),period,new_fakesignal(position(i)+1:end)];
end
como=comodulogram(new_fakesignal,amplitude_frequency,phase_frequency,sampling_rate,'WindowType',...
'Hanning','WindowOverlap',[2*sampling_rate sampling_rate],'FilterWidth',[2.5 1]);
matrix3(j,:)=como;
end
time=0:1/sampling_rate:length(new_fakesignal)/sampling_rate-1/sampling_rate;
nf=round(sampling_rate);
t=0:1:length(como)-1;
t=t(1:length(como));