Matlab-Prologix-scripts/OOequipment/subfiles/FourierHarmonics_script.m

%% Squarewave
w0 = 2*pi/T;
amp = 4*A/pi;

tv = 0:T/50:2*T;

ehv = amp*sin(w0*tv);
dhv = (amp/3)*sin(3*w0*tv);
vhv = (amp/5)*sin(5*w0*tv);
blv = A*(sign(ehv));

epdhv = ehv + dhv;
epdpvhv = epdhv + vhv;

maxamp=max(ehv);
mA=ceil(maxamp);
clear ax
figure(1);
set(clf,'PaperType','A4');
set(clf,'Color',[1,1,1]);
ax(1) = subplot(221);
plot(tv, blv, tv, ehv, tv, dhv, tv, vhv);
xlabel('time [ms]','Fontsize',8);
title('first three harmonics','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(222);
plot(tv, blv, tv, ehv);
xlabel('time [ms]','Fontsize',8);
title('first harmonic','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(223);
plot(tv, blv, tv, epdhv); 
xlabel('time [ms]','Fontsize',8);
title('sum first and third harmonic','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(224);
plot(tv, blv, tv, epdpvhv);
xlabel('time [ms]','Fontsize',8);
title('sum of all harmonics','Fontsize',8);
set(gca,'Fontsize',8);
linkaxes(ax)

%% Triangular Wave
amp = -(8*B)/(pi^2);

tv = 0:T/50:2*T;

ehv = amp*cos(w0*tv);
dhv = (amp/9)*cos(3*w0*tv);
vhv = (amp/25)*cos(5*w0*tv);

rc = 4*B/T;
T2 = T/2;
T15 = 3*T/2;

drv=[];
for t=tv
    if (t<T2)        drv=[drv -B+rc*t];   end
    if (T2<=t)&&(t<T) drv=[drv 3*B-rc*t];  end
    if (T<=t)&&(t<T15) drv=[drv -5*B+rc*t]; end
    if (T15<=t)       drv=[drv 7*B-rc*t];  end
end

epdhv = ehv + dhv;
epdpvhv = epdhv + vhv;

figure(2);
set(clf,'PaperType','A4');
set(clf,'Color',[1,1,1]);
ax(end+1) = subplot(221);
plot(tv, drv, tv, ehv, tv, dhv, tv, vhv);
xlabel('time [ms]','Fontsize',8);
title('first three harmonics','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(222);
plot(tv, drv, tv, ehv);
xlabel('time [ms]','Fontsize',8);
title('first harmonic','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(223);
plot(tv, drv, tv, epdhv); 
xlabel('time [ms]','Fontsize',8);
title('sum first and third harmonic','Fontsize',8);
set(gca,'Fontsize',8);

ax(end+1) = subplot(224);
plot(tv, drv, tv, epdpvhv);
xlabel('time [ms]','Fontsize',8);
title('sum of all harmonics','Fontsize',8);
set(gca,'Fontsize',8);

linkaxes(ax(5:8))
arrayfun(@(x) set(x,{'XGrid','YGrid'},{'on','on'}),ax)