Fourier transform conceptual question

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To switch from the frequency version of a Fourier transform to the ω version, one must understand that ω is the angular frequency, defined as ω = 2πf. The transformation involves not only substituting frequency with angular frequency but also adjusting the scaling of the Fourier transform equations accordingly. This can affect the amplitude and phase of the resulting transform. Additionally, the interpretation of the results may vary due to the different units used in frequency versus angular frequency. Understanding these nuances is crucial for accurate application in signal processing and analysis.
jti5017
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Just curious, how does one switch from the frequency version of a Fourier transform to the ω version. I know that ω = 2∏*f
but looking at the variations of the table it seems like there is more than just this difference
 
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jti5017 said:
Just curious, how does one switch from the frequency version of a Fourier transform to the ω version. I know that ω = 2∏*f
but looking at the variations of the table it seems like there is more than just this difference

Nope.
 

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