Make this equation periodic (repeating every t_c seconds)

Hi, how can I make the following equation periodic to repeat every t_c seconds, given that t_c > t_s. So for t_s<t<t_c the value of Q is zero.

Q=@(t)Q_peak*sin((pi*t)./t_s).^2.*(t<=t_s)

Thanks!

[Torsten]

What is the interval you want to repeat periodically ? [0 t_s] ?

[Hussam]

That is the equation from [0 t_s], otherwise it is 0. I want this to be periodically repeated every t_c

Answer 1

[Torsten]

Maybe like this:

Q_peak = 1;
t_s = 0.1;
t_c = 0.3;
fun = @(t)Q_peak*sin((pi*t)./t_s).^2.*(t>=0).*(t<=t_s);
F = @(t)fun(mod(t,t_c));
t = linspace( -0.6,0.6,2000);
plot(t,F(t))

[Hussam]

Not exactly, I would like the function to include zero for some interval and then repeat, i.e. the sine curve for [0 t_s], zero for [t_s t_c], and repeat every t_c.

[Torsten]

Done.