For a function g(t), it is given that $$\int\limits_{ - \infty }^{ + \infty } {g\left( t \right){e^{ - j\omega t}}dt = \omega {e^{ - 2{\omega ^2}}}} $$ for any real value $$\omega .$$ If $$y\left( t \right) = \int\limits_{ - \infty }^t {g\left( \tau \right)d\tau ,} $$ then $$\int\limits_{ - \infty }^{ + \infty } {y\left( t \right)dt} $$ is . . . . . . . .
A. 0
B. $$ - j$$
C. $$ - \frac{j}{2}$$
D. $$\frac{j}{2}$$
Answer: Option B
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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