Consider the following system
h(n) is a filter with frequency response, then

A) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} 1,\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] B) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} {T_s},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] C) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} \frac{1}{{{T_s}}},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] D) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} {e^{ - j3\omega }},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

Answer & Solution

Correct Answer: Option A

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Consider the following system h(n) is a filter with frequency response...

Consider the following system h(n) is a filter with frequency response, then

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Consider the following system
h(n) is a filter with frequency response, then