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How to generate this in MATLAB

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David83

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Hello all,

I am trying to do something particular in MATLAB, which is very similar, but not the same as, transmitting a signal over ISI channel using SC-FDE.

Suppose the transmitted signal is given by:

\[s(t)=\sum_{k=-N_g}^{N_d-1}d_g\,g(t-kT_s)\]

where g(t) is a rectangular pulse of duration Ts (the symbol duration), d_k are (bipolar) BPSK symbols, N_g is the CP length and N_d is the block length both in symbols. The channel impulse response is given by:

\[h(\tau;t)=\sum_{p=1}^{N_p}h_p\delta(t-\tau_p)\]

where N_p is the number of resolvable paths, and h_p and tau_p are the channel gains and delays, respectively. So, the received signal is given by:

\[v(t)=\sum_{k=-N_g}^{N_d-1}d_k\sum_{p=1}^{N_p}h_pg(t-kT_s-\tau_p)+w(t)\]

where w(t) is AWGN process. How to generate v(t) in MATLAB in continuous time as in the last equation?

Thanks in advance
 

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