1
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33

Two discrete-time linear time-invariant systems with impulse responses $h_1\lfloor n\rfloor=\delta\lfloor n-1\rfloor+\delta\lfloor n+1\rfloor$ and $h_2[n]=\delta[n]+\delta[n-1]$ are connected in cascade. Where $\delta[n]$ in the Kronecker delta. The impulse response of the cascade system

A

$\delta[n-2]+\delta[n+1]$

B

$\delta[n-1] \delta[n]+\delta[n+1] \delta[n-1]$

C

$\delta[n-2]+\delta[n-1]+\delta[n]+\delta[n+1]$

D

$\delta[n] \delta[n-1]+\delta[n-2] \delta[n+1]$

2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a continuous-time system with input x(t) and output y(t) given by $$y\left(t\right)=x\left(t\right)\cos\left(t\right)$$. This system is
A
linear and time-invariant
B
Non-linear and time-invariant
C
linear and time-varying
D
Non-linear and time-varying
3
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The impulse response g(t) of a system G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)? GATE EE 2015 Set 1 Signals and Systems - Linear Time Invariant Systems Question 56 English
A
$$\frac23$$
B
$$\frac34$$
C
$$\frac45$$
D
1
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider an LTI system with impulse response $$h\left(t\right)=e^{-5t}u\left(t\right)$$ . If the output of the system is $$y\left(t\right)=e^{-3t}u\left(t\right)-e^{-5t}u\left(t\right)$$ then the input, x(t), is given by
A
$$e^{-3t}u\left(t\right)$$
B
$$2e^{-3t}u\left(t\right)$$
C
$$e^{-5t}u\left(t\right)$$
D
$$2e^{-5t}u\left(t\right)$$

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