1
GATE ECE 2017 Set 1
+2
-0.6
Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):

I. The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued

II. The complex Fourier series coefficients of x(3t) are {3ak} where k is integer valued

III. The fundamental angular frequency of x(3t) is 6$$\mathrm\pi$$ rad/s

For the three statements above, which one of the following is correct?
A
only II and III are true
B
only I and III are true
C
only III is true
D
only I is true
2
GATE ECE 2001
MCQ (More than One Correct Answer)
+2
-0.6
The PSD and the power of a signal g(t) are, respectively, Sg($$\omega$$) and Pg. The PSD and the power of the signal ag(t) are, respectively
A
$$a^2S_g (\omega)\; and\; a^2P_g$$
B
$$a^2S_g (\omega)\; and\; aP_g$$
C
$$aS_g (\omega)\; and\; a^2P_g$$
D
$$aS_g (\omega)\; and\; aP_g$$
3
GATE ECE 1992
MCQ (More than One Correct Answer)
+2
-0.6
Which of the following signals is/are periodic?
A
S (t) = cos2t + cos3t + cos5t
B
S (t) = exp ( j8$$\pi$$t )
C
S (t) = exp (−7t ) sin10$$\pi$$t
D
S (t) = cos2t cos 4t
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination