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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. $\text{Causal, LP}$
  2. $\text{BIBO, LTI}$
  3. $\text{BIBO, Causal, LTI}$
  4. $\text{LP, LTI}$
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