1

GATE ECE 2017 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {a

_{k}} 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 {a_{k}} where k is integer valued

II. The complex Fourier series coefficients of x(3t) are {3a_{k}} 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?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, S

_{g}($$\omega$$) and P_{g}. The PSD and the power of the signal ag(t) are, respectively3

GATE ECE 1992

MCQ (More than One Correct Answer)

+2

-0.6

Which of the following signals is/are periodic?

Questions Asked from Representation of Continuous Time Signal Fourier Series (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics