GATE EE 2017 Set 1 | GATE EE Year Wise Previous Years Questions

GATE EE 2017 Set 1

MCQ (Single Correct Answer)

-0.6

Let the signal $$$x\left(t\right)=\sum_{k=-\infty}^{+\infty}\left(-1\right)^k\delta\left(t-\frac k{2000}\right)$$$ be passed through an LTI system with frequency response $$H\left(\omega\right)$$, as given in the figure below GATE EE 2017 Set 1 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 17 English

GATE EE 2017 Set 1 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 17 English

The Fourier series representation of the output is given as

4000+4000cos(2000$$\mathrm\pi$$t)+4000cos(4000$$\mathrm\pi$$t)

2000+2000cos(2000$$\mathrm\pi$$t)+2000cos(4000$$\mathrm\pi$$t)

4000cos(2000$$\mathrm\pi$$t)

2000cos(2000$$\mathrm\pi$$t)

GATE EE Papers

2023