The Fourier transform of a signal π‘₯(𝑑), denoted by 𝑋(𝑗w), is shown in the figure

Q. The Fourier transform of a signal π‘₯(𝑑), denoted by 𝑋(𝑗w), is shown in the figure.

Let 𝑦(𝑑) = π‘₯(𝑑) + 𝑒𝑗𝑑π‘₯(𝑑). The value of Fourier transform of 𝑦(𝑑) 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

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