GATE ECE 2010 | Representation of Continuous Time Signal Fourier Series Question 8 | Signals and Systems

The trigonometric Fourier series for the waveform f(t) shown below contains GATE ECE 2010 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 11 English

GATE ECE 2010 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 11 English

only cosine terms and zero value for the dc component

only cosine terms and a positive value for the dc component

only cosine terms and a negative value for the dc component

only sine terms and a negative for the dc component

GATE ECE 2009

MCQ (Single Correct Answer)

-0.3

The Fourier series of a real periodic function has only

P. Cosine terms if it is even

Q. Sine terms if it is even

R. Cosine terms if it odd

S. Sine terms if it is odd

Which of the above statement are correct?

P and S

P and R

Q and S

Q and R

GATE ECE 2009

MCQ (Single Correct Answer)

-0.3

A function is given by f(t) = sin²t +cos2t . Which of the following is true?

f has frequency components at 0 and $$1/2\mathrm\pi$$ Hz

f has frequency components at 0 and $$1/\mathrm\pi$$ Hz

f has frequency components at $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz

f has frequency components at 0, $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

Choose the function f (t );−$$\infty$$ < 1 < +$$\infty$$, for which a Fourier series cannot be defined.

3sin(25t)

4cos(20t+3)+2sin(10t)

exp (−|t|) sin(25t)

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GATE ECE Subjects

Signals and Systems

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

Network Theory

State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous

Control Systems

Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis

Digital Circuits

Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Electronic Devices and VLSI

Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET

Analog Circuits

Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer

Engineering Mathematics

Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory

Microprocessors

Instruction Set and Programming with 8085 Pin Details of 8085 and Interfacing with 8085

Communications

Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise

Electromagnetics

Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves