Fourier series coefficient of time-domain algebraic is X [k]=jk-1]-j0 = 2, then corresponding time domain signal will be

1.  2(cos 3t-sin t)

2.  -2(cos 3t-sin t)

3.  2(cos 6t-sin 2t)

4.  -2(cos 6t-sin t).

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4
Correct Answer :

2(cos 3t-sin t)


Explanation :
No Explanation available for this question

Fourier series coefficient of time-domain is Then corresponding time domain signal will be

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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Consider a continuous time periodic signal x(t) .the fundamental period T and Fourier series coefficient X[k].Determine the Fourier series coefficient of the signal y(t)  y(t)=x(t-t0)+x(t-t0)

1.  2 cos X[k]

2.  2 sin X[k]

3.  e-t0x[-k]+et0X[-k]

4.  e-t0x[-k]+et0X[k] .

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4
Correct Answer :

2 cos X[k]


Explanation :
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y(t)=Ev(x(t))

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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Consider three continuous-time periodic signals when Fourier series representations are as follows. The even signals are

1.  x2(t) only

2.  x2(t) and x3(t)

3.  x1(t) and x3(t)

4.  x1(t) only.

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4
Correct Answer :

x2(t) only


Explanation :
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Consider three continuous-time periodic signals when Fourier series representations are as follows. The real valued signals are

1.  x1(t) and x2(t)

2.  x2(t) and x3(t)

3.  x3(t) and x1(t)

4.  x1(t) and x3(t).

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4
Correct Answer :

x2(t) and x3(t)


Explanation :
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Consider a continuous time ideal low pass filter having the frequency response When the input to this filter is a signal x(t) with fundamental frequency 0=12 and Fourier series coefficients X[k], it is found that the largest value of |k|, for which X[k] is nonzero, is

1.  6

2.  80

3.  7

4.  12.

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4
Correct Answer :

6


Explanation :
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Find the Fourier transform of

1.  x(f)=10e-|f|

2.  x(f)=10e-2|f|

3.  x(f)=10e2|f|

4.  None of these.

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4
Correct Answer :

x(f)=10e-|f|


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For the wave form for one period shown in the figure below, the trigonometric Fourier series will is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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The determine-time Fourier-coefficients X[k] for will be

1.  

2.  

3.  

4.  None of these.

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4
Correct Answer :


Explanation :
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