1
GATE ECE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider the discrete-time system below with input $x[n]$ and output $y[n]$. In the figure, $h_1[n]$ and $h_2[n]$ denote the impulse responses of LTI Subsystems 1 and 2, respectively. Also, $\delta[n]$ is the unit impulse, and $b>0$.

Assuming $h_2[n] \neq \delta[n]$, the overall system (denoted by the dashed box) is_________.

GATE ECE 2025 Signals and Systems - Discrete Time Linear Time Invariant Systems Question 1 English
A
linear and time invariant
B
linear and time variant
C
nonlinear and time invariant
D
nonlinear and time variant
2
GATE ECE 2024
MCQ (More than One Correct Answer)
+1
-0

For a causal discrete-time LTI system with transfer function

$H(z) = \frac{2z^2 + 3}{\left(z + \frac{1}{3}\right)\left(z - \frac{1}{3}\right)}$

which of the following statements is/are true?

A

The system is stable.

B

The system is a minimum phase system.

C

The initial value of the impulse response is 2.

D

The final value of the impulse response is 0.

3
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

Consider a system with input $$x(t)$$ and output $$y(t) = x({e^t})$$. The system is

A
Causal and time invariant.
B
Non-causal and time varying.
C
Causal and time varying.
D
Non-causal and time invariant.
4
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An LTI system with unit sample response
$$h\left( n \right) = 5\delta \left[ n \right] - 7\delta \left[ {n - 1} \right] + 7\delta \left[ {n - 3} \right] - 5\delta \left[ {n - 4} \right]$$ is a
A
low pass filter
B
high pass filter
C
band pass filter
D
band stop filter
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