Multiply freq response by w ?

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SUMMARY

The discussion centers on the mathematical operation of multiplying the frequency response X(w) of a periodic signal x(t) by the variable "w" within the range of 0 PREREQUISITES

  • Understanding of Fourier Transform and its properties
  • Knowledge of signal processing concepts, particularly periodic signals
  • Familiarity with complex analysis in the context of signal representation
  • Basic calculus, specifically differentiation
NEXT STEPS
  • Study the properties of the Fourier Transform, focusing on differentiation in the frequency domain
  • Learn about the implications of multiplying a signal's frequency representation by a variable
  • Explore the relationship between time-domain signals and their frequency-domain representations
  • Investigate the use of the Inverse Fourier Transform in signal reconstruction
USEFUL FOR

Signal processing engineers, students studying Fourier analysis, and anyone involved in the mathematical modeling of periodic signals will benefit from this discussion.

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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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