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Zero Order Hold system has an impulse response given by
u(t)- u(t-T)
The Fourier transform of the system is
(a)\frac{[1-e^{j\omega T}]}{ j\omega }
(b)\frac{[1-e^-j\omega T]}{j\omega}
(c)\frac{[1+e^j\omega T]}{j\omega}
(d) none of theseAnswer is ( b )
Lets understand an additional concept (may not be useful to solve the question ) of the Zero Order Hold impulse response graphically:
Concept
Laplace Transform of u(t) \rightarrow \frac{1}{s}
u(t-T) \rightarrow \frac{e^{-Ts}}{s}
Thus , u(t) - u(t-T)
\implies \frac{1}{s} - \frac{e^{-Ts}}{s}
\implies \frac{1-e^{-Ts}}{s}
For Fourier Transform , s = j\omega
u(t) - u(t-T) = \frac{1-e^{-T j\omega}}{j\omega}
http://nptel.ac.in/courses/108103008/4
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