How do I create function that is defined by itself?

I need help creating this function. I have defined x(t) as

x = @(t) t.*((t>=0)&(t<1))+(0.5+0.5.*cos(2*pi*t)).*((t>=1)&(t<2))+(3-t).*((t>=2)&(t<3));

The end result should look like this

Answer 1

[Pratyush Roy]

Hi,

As per the equations mentioned above, the function is a periodic one with a period of 4. You can refer to code snippet below to generate a periodic function:

x = @(t) t.*((t>=0)&(t<1))+(0.5+0.5.*cos(2*pi*t)).*((t>=1)&(t<2))+(3-t).*((t>=2)&(t<3))
duration = T;
t = 0:0.5:T; %Time interval is chosen as 0.5 in this case, user can change this value.
y = x(mod(t,4));%Period of 4
plot(t,y)

Hope this helps!