1
GATE ECE 2022
Numerical
+1
-0.33

Let x1(t) = e$$-$$t u(t) and x2(t) = u(t) $$-$$ u(t $$-$$ 2), where u( . ) denotes the unit step function. If y(t) denotes the convolution of x1(t) and x2(t), then $$\mathop {\lim }\limits_{t \to \infty } y(t)$$ = __________ (rounded off to one decimal place).

Your input ____
2
GATE ECE 2022
MCQ (More than One Correct Answer)
+1
-0.33

The outputs of four systems (S1, S2, S3 and S4) corresponding to the input signal sin(t), for all time t, are shown in the figure.

Based on the given information, which of the four systems is/are definitely NOT LTI (linear and time-invariant)?

GATE ECE 2022 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 1 English

A
S1
B
S2
C
S3
D
S4
3
GATE ECE 2016 Set 1
Numerical
+1
-0
A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23Hz. The fundamental frequency (in Hz) of the output is _____________________.
Your input ____
4
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
A real - values signal x(t) limited to the frequency band $$\left| f \right| \le {W \over 2}$$ is passed through a linear time invariant system whose frequency response is
$$H(f) = \left\{ {\matrix{ {{e^{ - j4\pi f}},} & {\left| f \right| \le \,{W \over 2}} \cr {0,} & {\left| f \right| > \,{W \over 2}} \cr } } \right.$$

The output of the system is

A
x(t + 4)
B
x(t - 4)
C
x(t + 2)
D
x(t - 2)
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