How to do definite integral in MATLAB

Hello all,

I have this function y of t, and I want to find the following definite integral (I am using the LateX syntax):

\int_{kT}^{(k+1)T}y(t)\,dt

for k=0,1,..., K-1. How can I do this in MATLAB?

Note: K is a very large number, and hence, I need an efficient way of doing the integration for all k other than for-loop approach.

Thanks

[Star Strider]

You can do it numerically ( integrate and similar functions ) or symbolically ( int ). What you do likely depends on what y(t) is. Experiment, and if you have problems, return here (to this thread) for help.

[S. David]

It tells me that "Undefined function 'integrate' for input arguments of type 'double'." I have y define this way:

for pp=1:Np
    yTemp=interp1(t,dCP,t*(1+a(pp))-tau(pp),'linear');
    y=y+yTemp*h(pp)*exp(-1i*2*pi*fc*tau(pp)).*exp(1i*2*pi*fc*a(pp).*t);
end

whete t=-CP_Ta*Ta:Ta:(K+CP_Ta-1)*Ta. What should I do then?

[Star Strider]

Apologise for the typo. Should be the integral function.

What is your original function? Why the interpolation?

[S. David]

I have the vector dCP which consists of samples at t=n*Ta. I want to transmit it over a channel which scales/shifts these samples. That is why I am using the interpolation. At the receiver I want to use matched filtering to extract the samples again, which involves the integration above.

[S. David]

Someone told me I can do this by interpret integration as summation (integration by definition).