Signals and Systems
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_________.
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?
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
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a single input single output discrete-time system with $$h\left[ n \right]\,$$ as input and $$y\left[ n \right]\,$$ as output, where the two are related as
$$y\left[ n \right]\, = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {for\,\,0 \le n \le 10} \cr {x\left[ n \right] - x\left[ {n - 1} \right],} & {otherwise,} \cr } } \right.$$
$$y\left[ n \right]\, = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {for\,\,0 \le n \le 10} \cr {x\left[ n \right] - x\left[ {n - 1} \right],} & {otherwise,} \cr } } \right.$$
Which one of the following statements is true about the system?
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics