Matched Filter Integration in MATLAB

Hello all,

In a communication system I have the following received signal:

v(t)=\sum_{k=0}^{K-1}s_k P_k(t)+w(t)

where w(t) is additive white Gaussian noise (AWGN) process of zeros mean and power spectral (PSD) density N0.

The matched filter receiver in this case is given by:

v_n=\int P_n^*(t) v(t) dt =(some constant) \int_{nTs}^{(n+1)*Ts}v(t) dt, for n=0,...,N-1

where ()* is complex conjugation, the vector t=0:Ta:(K-1)*Ta, Ta=Ts/nsamp where nsamp is the number of samples per symbol. The resultant vector must be of size N-by-1 where K=N*nsamp.

The question is how to implement the integration in the most right hand side of v_n? I did it as following:

for nn=0:N-1
    z(nn)=sum(v(nn*nsampl+1:(nn+1)*nsampl))*Ta;
end

but I am not sure if this implementation is correct. What do you think?

Thanks in advance

[S. David]

Any help?