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List of top Signals and Systems Questions on Convolution asked in GATE IN

The input-output relationship of an LTI system is given below. 

\( \text{For an input } x[n] \text{ shown below,} \) 

\( \text{the peak value of the output when } x[n] \text{ passes through } h \text{ is:} \)

  • GATE IN - 2021
  • GATE IN
  • Signals and Systems
  • Convolution

Given \( y(t) = e^{-3t}u(t) u(t + 3) \), where denotes convolution operation. The value of \( y(t) \) as \( t \to \infty \) is \(\underline{\hspace{2cm}}\) (rounded off to two decimal places).
 

  • GATE IN - 2021
  • GATE IN
  • Signals and Systems
  • Convolution