Matched Filter Integration in MATLAB

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S. David
S. David 2014-5-7
评论： S. David 2014-5-12
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

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