adding constant offset to sensor

hello there

how can i add a constant offset to my sine wave( zero offset ), then be able to plot the sine wave i have added offset to on top of my original sine wave, i have atttched a picture of what i am talking about.

Answer 1

[KALYAN ACHARJYA]

Is this?

a=0.5   % amplitude        
f=5     % frequency
t=linspace(0,10,500);
acc=-4*a.*pi^2./f.^2 .* sin(2*pi./f .* t);
plot(t,acc,'linewidth',2);
hold on;
off_set=3;
acc=acc+off_set;
plot(t,acc,'g','linewidth',2);
grid on;
legend('Without Offset', 'With Offset 3V')

[Mat CR]

thank you very much for your answer

the answer is correct but i want to just use the accerleration with offset and then double intgrate using cumtrapz to obtain velocity and position, but when i plot my offset position it doesnt look anywhere near my real position even tho it has only 0.1 offset from integrating acceleration.

here is the code i used

a=0.5 % amplitude
f=5   % frequency
t=linspace(0,10,500);
v0 = a*(2*pi/f)*cos(2*pi/f*t(1)); % initial velocity
p0 = a*sin((2*pi)/f*t(1)); % initial position 
acc= -4*a.*pi^2./f.^2 .* sin(2*pi./f .* t); % accleration data
off_set=0.1;
acc=acc+off_set;
figure (1)
plot(t,acc,'g','linewidth',2);
xlabel('Time (s)')
ylabel('amplitude')
title('accleration')
vel=cumtrapz(t,acc)+v0; % integrated velocity
pos=cumtrapz(t,vel)+p0  % intgrated positon
figure(2)
plot(t,pos,'r-')  % plot the position      
xlabel('Time (s)')
ylabel('amplitude')
title('offset position')

% what my real position look like real position 
pos=a*sin((2*pi)/f*t) % intial position
plot(t,pos,'b-');  % plot for position
title(' real positon')
ylabel('amplitude')
xlabel('time(s)')

i would really appreciate any sort of help thank you

[KALYAN ACHARJYA]

I have answered based on original question. Hope the answer helped. Yes it can be, but it require longer time to debug your code.