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Determine the matched filter response h(t) for signal s(t) shown below:
  • a)
  • b)
  • c)
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Determine the matched filter response h(t) for signal s(t) shown below...
matched filter is used to increase the signal-to-noise ratio (S/N) at the receiver end by correlating the filter impulse response with the known input signal.
i.e. provided h(t) = Si*(T - t), where Signal Si(t) exists for 0 ≤ t ≤ T, the filter is said to be a matched filter.
i.e. h(t) = (SiR(T - t) + jSiImg (T - t))*
⇒ h(t) = (SiR(T - t) – jSiImg(T - t))
Where, SiR = Real part of Si(t)
And SiImg = Imaginary part of Si(t).
Calculation:
Given, Si(t) as shown;

So the real part of the filter impuse response must be –ve of the shifted part shown below,

And the imaginary part must be,

- [SiImg (T - t)] will be,

So, Option (4) is Correct.
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Determine the matched filter response h(t) for signal s(t) shown below:a)b)c)d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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