Related Questions4 Items
Q1.MCQ
Consider a continuous-time signal
$x(t) = -t^2 u(t + 4) - u(t - 4)$
where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impulse function. The value of
$$\int{-\infty}^{\infty} x(t)\delta(t + 3)dt$$
is
Q2.MCQ
Let continuous-time signals $x1(t)$ and $x2(t)$ be
$x1(t) = \begin{cases} 1, & t \in 0,1 \\ 2-t, & t \in 1,2 \\ 0, & \text{otherwise} \end{cases} \quad \text{and} \quad x2(t) = \begin{cases} t, & t \in 0,1 \\ 2-t, & t \in 1,2 \\ 0, & \text{otherwise} \end{cases}$
Consider the convolution $y(t) = x1(t) x2(t)$. Then $\int{-\infty}^{\infty} y(t)dt$ is
Q3.MCQ
The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system $S$. The output is observed to be the continuous-time unit step signal $u(t)$. Which one of the following statements is true?
Q4.MCQ
Consider a discrete-time linear time-invariant (LTI) system $S$, where
$$yn = S\{xn\}$$
Let
$$S\{\deltan\} = \begin{cases} 1, & n \in \{0, 1, 2\} \\ 0, & \text{otherwise} \end{cases}$$
where $\deltan$ is the discrete-time unit impulse function. For an input signal $xn$, the output $yn$ is
Electrical and Electronic EngineeringSignals and SystemsMultiple Choice (MCQ)2 Marks
Q2.
Let continuous-time signals x1(t) and x2(t) be
x1(t)=⎩⎨⎧1,2−t,0,t∈[0,1]t∈[1,2]otherwiseandx2(t)=⎩⎨⎧t,2−t,0,t∈[0,1]t∈[1,2]otherwise
Consider the convolution y(t)=x1(t)∗x2(t). Then ∫−∞∞y(t)dt is
A
1.5
B
2.5
C
3.5
D
4