GATE ECE 2010 | Representation of Continuous Time Signal Fourier Series Question 12 | 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 15 English

GATE ECE 2010 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 15 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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