A matched filter having a frequency response H( f ) = 1 - e^ - j2 fTj2 f matches to:

[s( t ) = l 1,0 le t le T 0,rmotherwise .]

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Signal Processing

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 & Solution

Correct Answer: Option A

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A matched filter having a frequency response H left( f right)...

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

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