Let the signal \(x\left( t \right) = \mathop \sum \limits_{k = - \infty }^{ + \infty } {\left( { - 1} \right)^k}\delta \left( {t - \frac{k}{{2000}}} \right)\) be passed through an LTI system with frequency response H(ω), as given in the figure below.The Fourier series coefficients of the output is given as

4000 + 4000 cos(2000 πt) + 4000 cos(4000 πt)

2000 + 2000 cos(2000 πt) + 2000 cos(4000 πt)

Let the signal \(x\left( t \right) = \mathop \sum \limits_{k = - \inft

1.	Let the signal \(x\left( t \right) = \mathop \sum \limits_{k = - \infty }^{ + \infty } {\left( { - 1} \right)^k}\delta \left( {t - \frac{k}{{2000}}} \right)\) be passed through an LTI system with frequency response H(ω), as given in the figure below.The Fourier series coefficients of the output is given as
A.	4000 + 4000 cos(2000 πt) + 4000 cos(4000 πt)
B.	2000 + 2000 cos(2000 πt) + 2000 cos(4000 πt)
C.	4000 cos(2000 πt)
D.	2000 cos(2000 πt)
Answer» D. 2000 cos(2000 πt)

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