engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Fourier Series Forms of Fourier Series
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 as1
4000 + 4000 cos(2000 πt) + 4000 cos(4000 πt)
2
2000 + 2000 cos(2000 πt) + 2000 cos(4000 πt)
3
4000 cos(2000 πt)
4
2000 cos(2000 πt)