David83
Advanced Member level 1
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
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
