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 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
3
GATE ECE 2020
MCQ (Single Correct Answer)
+1
-0.33
The output $y[n]$ of a discrete - time system for an input $x[n]$ is
$$ y[n]=\max\limits_{-\infty \leq k \leq n}|x[k]| $$
The unit impulse response of 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?
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Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Representation of Continuous Time Signal Fourier Series Transmission of Signal Through Continuous Time LTI Systems Miscellaneous Sampling Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Discrete Time Signal Z Transform Transmission of Signal Through Discrete Time Lti Systems
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