Examveda

A matched filter having a frequency response $$H\left( f \right) = \frac{{1 - {e^{ - j2\pi fT}}}}{{j2\pi f}}$$    matches to:

A. \[s\left( t \right) = \left\{ \begin{array}{l} 1,\,\,\,\,0 \le t \le T\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

B. \[s\left( t \right) = \left\{ \begin{array}{l} - 1,\,\,\,\,0 \le t \le T\\ \,\,\,0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

C. \[s\left( t \right) = \left\{ \begin{array}{l} 1 - \frac{t}{T},\,\,\,\,0 \le t \le T\\ \,\,\,\,\,0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

D. \[s\left( t \right) = \left\{ \begin{array}{l} - 1 + \frac{t}{T},\,\,\,\,0 \le t \le T\\ \,\,\,\,\,0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

Answer: Option A


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