Multiple choice

Consider a system whose input x and output y are related by the equation y (t) = $\displaystyle \int_{-\infty} ^\infty x(t - \tau) g(2\tau) d\tau$, where h (t) is shown in the graph.

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

  1. Causal, LP

  2. BIBO, LTI

  3. BIBO, Causal, LTI

  4. LP, LTI
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Here $h(t) \ne 0 \ for \ t \lt 0.$ Thus system is non causal. Again any bounded input $x(t)$ gives bounded output $y(t)$. Thus it is BIBO stable.

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