1
GATE EE 2024
Numerical
+2
-0

If the energy of a continuous-time signal $x(t)$ is $E$ and the energy of the signal $2x(2t - 1)$ is $cE$, then $c$ is _____ (rounded off to 1 decimal place).

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2
GATE EE 2023
Numerical
+2
-0

The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the nearest integer).

$$x[n] = 1 + 3\sin \left( {{{15\pi } \over 8}n + {{3\pi } \over 4}} \right) - 5\sin \left( {{\pi \over 3}n - {\pi \over 4}} \right)$$

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3
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The function shown in the figure can be represented as GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 7 English
A
$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-\left(\frac{t-2T}T\right)u\left(t-2T\right)$$
B
$$u\left(t\right)+\frac tTu\left(t-T\right)-\frac tTu\left(t-2T\right)$$
C
$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t\right)-\left(\frac{t-2T}T\right)u\left(t\right)$$
D
$$u\left(t\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-2\frac{\left(t-2T\right)}Tu\left(t-2T\right)$$
4
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the function u(t+1)*r(t-2) is given by
A
(1/2)(t-1)(t-2)
B
(1/2)(t-1)(t-2)
C
(1/2)(t-1)2u(t-1)
D
none of the above
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