The output y(t) of a linear time invariant system is related to its input x(t) by the following equation:
y(t) = 0.5x(t - td + T) + x(t - td) + 0.5x(t - td -T).
The filter transfer function H(ω) of such a system is given by
A. $$\left( {1 + \cos \,\omega T} \right){e^{ - j\omega {t_d}}}$$
B. $$\left( {1 + 0.5\cos \omega T} \right){e^{ - j\omega {t_d}}}$$
C. $$\left( {1 - \cos \omega T} \right){e^{ - j\omega {t_d}}}$$
D. $$\left( {1 - 0.5\cos \omega T} \right){e^{ - j\omega {t_d}}}$$
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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