![The Fourier transform of a signal π₯(π‘), denoted by π(πw), is shown in the figure](https://www.gkseries.com/blog/wp-content/uploads/2023/10/The-Fourier-transform-of-a-signal-π₯π‘-denoted-by-ππw-is-shown-in-the-figure.jpg)
Q. The Fourier transform of a signal π₯(π‘), denoted by π(πw), is shown in the figure.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/10/image-26.png)
Let π¦(π‘) = π₯(π‘) + πππ‘π₯(π‘). The value of Fourier transform of π¦(π‘) evaluated at the angular frequency w= 0.5 rad/s is
(A) 0.5Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (B) 1Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (C) 1.5Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (D) 2.5
Ans: 1.5