Multiple choice

The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: $y(t) = 0.5 \times (t-t_d + T) + x(t-t_d) + 0.5 \times (t-t_d-T)$. The filter transfer function $H(\omega)$ of such a system is given by

  1. $(1+cos\omega T) e^{-j\omega t_d}$
  2. $(1+ 0.5cos\omega T) e^{-j\omega t_d}$
  3. $(1+cos\omega T) e^{j\omega t_d}$
  4. $(1+ 0.5cos\omega T) e^{-j\omega t_d}$
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