How to Calculate the Noise Equivalent Bandwidth of an Amplifier?

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SUMMARY

The discussion focuses on calculating the Noise Equivalent Bandwidth (NEB) of an amplifier using the transfer function A(f) and the power spectral density function S(f). The formula B = (1/S(fo)) * Integral over all values of S(f) is central to the calculation. A participant initially misapplied A(f) as S(f) but recognized the error while approximating B = A^2 fc for a characteristic frequency fc. Resources such as Wikipedia and a Texas Instruments paper were recommended for further understanding.

PREREQUISITES
  • Understanding of transfer functions in signal processing
  • Familiarity with power spectral density functions
  • Knowledge of integral calculus
  • Basic concepts of amplifier noise analysis
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  • Study the derivation of Noise Equivalent Bandwidth in amplifiers
  • Learn about power spectral density and its applications in signal processing
  • Explore the transfer function analysis of amplifiers
  • Review the Texas Instruments paper on amplifier noise for practical insights
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Electrical engineers, students in signal processing, and professionals involved in amplifier design and analysis will benefit from this discussion.

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Homework Statement


Calculate the noise equivalent bandwidth of the amplifier.


Homework Equations


A(f) = transfer function of the amplifier
B = (1/S(fo) )* Integral over all values of S(f)



The Attempt at a Solution



Ok we're given the integral of |A(f)| but I am not sure how to go from that to a power spectral density function, because that's what S(f) is isn't it? Initially i used A(f) as S(f), which I am pretty sure is wrong, but it worked in proving the approximation that B = A^2 fc for some charactaristic frequency fc. In this case i simply used S(fo) as A and the intergral as the one given.

I think that assumptions wrong but i don't know how to fix it :(

Thanks
-G
 
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I don't know if I'll be able to be of much help on this one. The wikipedia.org page looks to be okay on this subject (as long as nobody edits it...)

http://en.wikipedia.org/wiki/Power_spectral_density

That page also has a pointer to a Wolfram page that you can have pretty good confidence in.

BTW, what is the definition of the Noise Equivalent Bandwidth of an amplifier?

This is an interesting paper from TI... what learning resources do you have for your class?

http://focus.ti.com/lit/an/swra030/swra030.pdf
 
Ah hey thanks for replying man, its ok i actually found a past exercise sheet with the same question. Its actually quite hard, i think :(

thanks!
-G
 

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