A signal \(2\cos \left( {\frac{{2{\rm{\pi }}}}{3}{\rm{t}}} \right) - {\rm{cos}}\left( {{\rm{\pi t}}} \right){\rm{\;}}\)is input to an LTI system with the transfer functionH(s) = es + e-sIf ck denotes the kth coefficient in the exponential Fourier series of the output signal, then c3 is equal to

A signal \(2\cos \left( {\frac{{2{\rm{\pi }}}}{3}{\rm{t}}} \right) - {

1.	A signal \(2\cos \left( {\frac{{2{\rm{\pi }}}}{3}{\rm{t}}} \right) - {\rm{cos}}\left( {{\rm{\pi t}}} \right){\rm{\;}}\)is input to an LTI system with the transfer functionH(s) = es + e-sIf ck denotes the kth coefficient in the exponential Fourier series of the output signal, then c3 is equal to
A.	0
B.	1
C.	2
D.	3
Answer» C. 2

Discussion

No Comment Found

Related MCQs

A periodic function of half wave symmetry is necessarily
Consider the trigonometric series, which holds true for all t, given by\(x(t)=\sin ω_0 t + \dfrac{1}{3} \sin 3 ω_0 t + \dfrac{1}{5} \sin 5 ω_0 t + \dfrac{1}{7}\sin 7 ω_0 t + ...\) At \(\omega_0 t = \dfrac{\pi}{2}\), the series converges to
Directions: The below item consists of two statements, one labelled as the 'Statement (I)' and the other as 'Statement (II)'. Examine these two statements carefully and select the answers to these items using the codes given below:Statement (I): Dirichlet's conditions restrict the periodic signal x(t), to be represented by Fourier series, to have only finite number of maxima and minima.Statement (II): x(t) should possess only a finite number of discontinuities.Codes:
A signal \(2\cos \left( {\frac{{2{\rm{\pi }}}}{3}{\rm{t}}} \right) - {\rm{cos}}\left( {{\rm{\pi t}}} \right){\rm{\;}}\)is input to an LTI system with the transfer functionH(s) = es + e-sIf ck denotes the kth coefficient in the exponential Fourier series of the output signal, then c3 is equal to
If \(f\left( x \right) = \frac{l}{4} - x\), when \(0 < x < \frac{l}{2}\)\( = x - \frac{{3l}}{4}\) ,when \(\frac{l}{2} < x < l\)then the value of a0 in the Fourier series of this function is
For a waveform to be expressed in Fourier series, which of the following conditions must be satisfied?I. Maxwell’s conditionsII. Drichlet conditionsIII. Sampling Theorem
A periodic function satisfies Dirichlet’s conditions. This implies that the function
Find the Fourier series of the waveform shown below.
Parseval’s relation for a periodic signal relates
Fourier series of an odd periodic function contains only

A signal \(2\cos \left( {\frac{{2{\rm{\pi }}}}{3}{\rm{t}}} \right) - {\rm{cos}}\left( {{\rm{\pi t}}} \right){\rm{\;}}\)is input to an LTI system with the transfer functionH(s) = es + e-sIf ck denotes the kth coefficient in the exponential Fourier series of the output signal, then c3 is equal to

Discussion

No Comment Found

Related MCQs

Reply to Comment