Author Topic: Rise time calculation from Full Width at Half Maximum  (Read 1283 times)

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Offline arivalagan13Topic starter

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Rise time calculation from Full Width at Half Maximum
« on: June 07, 2020, 03:40:53 pm »
Hi all,
I have a question.
How do I find the rise time and hence bandwidth required of a signal from the knowledge of Full Width at Half Maximum (FWHM)?
FWHM:
https://en.wikipedia.org/wiki/Full_width_at_half_maximum#:~:text=Full%20width%20at%20half%20maximum%20(FWHM)%20is%20an%20expression%20of,half%20of%20its%20maximum%20value.

I want to find the rise time (bandwidth from that information) of a high gain transimpedance amplifier to amplify a signal from a Faraday cup detector. But, I don't know how to find that information from the minimum or worst case FWHM of 0.7 ms.

Can anybody tell me how do I find the rise time from this information?
Regards
ArM
 

Offline gdewitte

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Re: Rise time calculation from Full Width at Half Maximum
« Reply #1 on: June 07, 2020, 06:27:44 pm »
If you assume the pulse is Gaussian, it can be shown that the product of the FWHM and the half-power point (f-3dB ) of the frequency response =~ 0.31. If the pulse is Gaussian and represents the impulse response of the system, then its integral (a form of the error function, or erf) would approximate the step response of the system and the product of the 10-90% rise time and the half-power point of the frequency response =~ 0.34. For a Gaussian impulse, the FWHM corresponds to the 12-88% points of its integral.
 
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Offline arivalagan13Topic starter

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Re: Rise time calculation from Full Width at Half Maximum
« Reply #2 on: June 08, 2020, 01:26:46 am »
Thank you gdewitte!!It helped  :)
 


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