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Theoretical noise floor in FFT (Read 86 times)
yvkrishna
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Theoretical noise floor in FFT
Oct 29th, 2011, 4:23am
 
Hi all,

I happen to see this expression for Average FFT noise floor in many Application Notes.
----------
Average FFT Noise Floor (dB) = 6.02n + 1.76dB + 10 log(3*M / (pi * ENBW)),
where M is the number of data points in the FFT.
ENBW is the equivalent noise bandwidth of the window function (see next section on how FFTs are generated)
n is the number of bits of the A/D converter
----------

Please help me in finding a reference for deriving this expression.


Thanks,
yvkrishna



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loose-electron
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Re: Theoretical noise floor in FFT
Reply #1 - Oct 29th, 2011, 5:53pm
 
Waving the magical Google wand....

www.analog.com/static/imported-files/tutorials/MT-001.pdf

Seems to all be there.
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yvkrishna
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Re: Theoretical noise floor in FFT
Reply #2 - Nov 4th, 2011, 1:28pm
 
thanks loose-electron.
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loose-electron
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Re: Theoretical noise floor in FFT
Reply #3 - Nov 5th, 2011, 1:07pm
 
no problem -

I frequently find more useful information in application notes from vendors than from the IEEE
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