1
GATE ECE 2026
MCQ (Single Correct Answer)
+1
-0.33
Two analog signals $x_1(t)$ and $x_2(t)$ ( $t$ in second), are sampled at a rate $F_s=40 \mathrm{~Hz}$, where $x_1(t)=\cos (20 \pi t), t \geq 0$, and $x_2(t)=\cos (100 \pi t), t \geq 0$.
The first ten samples (starting from $t=0$ ) are considered for the analysis.
Which of the following statements is TRUE?
2
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A continuous -time function $$x\left( t \right)$$ is periodic with period $$T$$. The function is sampled uniformly with a sampling period $${T_s}$$. In which one of the following cases is the sampled signal periodic?
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider the signal $$\,x\left( t \right)$$ $$\,\,\, = \,\,\,\cos \left( {6\pi t} \right)\,\, + \,\,\sin \left( {8\pi t} \right),$$ where $$\,t$$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $$y\left( t \right)\, = x\,\,\left( {2t + 5} \right)$$ is
4
GATE ECE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The signal $$\cos \left( {10\pi t + {\pi \over 4}} \right)$$ is ideally sampled at a sampling frequency of 15 Hz. The sampled signal is passed through a filter with impulse response $$\,\left( {{{\sin \left( {\pi t} \right)} \over {\pi t}}} \right)\,\cos \left( {40\pi t - {\pi \over 2}} \right).$$ The filter output is
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Control Systems
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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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