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GATE ECE 2009 | Question-41

Consider a system whose input $x$ and output $y$ are related by the equation
\[ y(t)=\int_{-\infty}^{\infty} x(t-\tau) h(2 \tau) d \tau, \]

where $h(t)$ is shown in the graph.

Which of the following four properties are possessed by the system ?
$\text{BIBO:}$ Bounded input gives a bounded output.
$\text{Causal:}$ The system is causal.
$\text{LP:}$ The system is low pass.
$\text{LTI:}$ The system is linear and time-invariant.

  1. Causal, LP
  2. BIBO, LTI
  3. BIBO, Causal, LTI
  4. LP, LTI
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