題組內容

5. Let \( \{a_k\} \) be a sequence of data which is multiplied with a pulse shaping function \( h(t) \). The transmitted signal is given by \( x(t) = \sum_{k=-\infty}^{\infty} a_k h(t - kT_s) \). At the receiver, we sample this signal every \( T_s \) seconds to get the discrete signal \( x[n] = \sum_{k=-\infty}^{\infty} a_k h[n - k] \) for every integer \( n \).

iii) (6pt) Provide an example of \( H(f) \) satisfying the condition in part ii). Show in time domain that it indeed will not result in any inter-symbol interference.