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MATLAB Help: Continous Time Frequency Selective Channel

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David83

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Hello all,

I have the following frequency selective channel:

\[h(\tau;t)=\sum_{p=0}^{N_p}h_p\delta(t-\tau_p)\]

and the transmitted signal in the passband is given by:

\[s(t)=\Re\left\{\sum_{k=-L}^{N-1}d_kg(t-kT_s)e^{j2 pi f_ct}\right\},\,\,\,t\in[-LT_s,NT_s]\]

I want to derive the discrete time model from these equations, which should give me the traditional output:

\[y_k=\sum_{l=0}^Lh_ld_{k-l}+z_k,\,\,\,k=0,1,\ldots,N-1\]

where \[h_l\] is the composite channel and \[z_k\] is the noise both in the discrete time.

How to go through the steps in MATLAB?

Thanks in advance
 

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