Multiply freq response by w ?

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Multiplying the frequency response X(w) of a signal x(t) by "w" corresponds to taking the derivative of the time-domain signal. The process involves applying the complex Fourier transform and observing how differentiation affects the integral terms. The user struggled with the inverse IFFT, resulting in an answer of zero, indicating a misunderstanding of the transformation process. To resolve this, it's essential to recognize that the operation yields the derivative of the original signal. Understanding this relationship is key to correctly applying frequency domain manipulations.
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multiply freq response by "w" ??

hi all,
i am not able to proced to this problem
lets say there is a signal x(t), which has freq domain representatiojn of X(w)
lets say signal is periodic with T = 1
now in freq domian X(w) is multiplied with "w" for 0<w<2

then what would be corresponding change in x(t)??
i tried to do inverse ifft, but that's giving me ans = 0.

how should i go about it? not exact solution but in general procedure?

Thanks
 
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You receive the derivative of the function. Just write out the complex Fourier transform and see what a derivative with respect to t does to the terms in the integral.
 


thanks!

:frown: <-- me
 

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