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JBlackhole16-Pearl
16-Pearl
November 16, 2015
Question

frequency band averaging (FBA) of an (output) PSD?

  • November 16, 2015
  • 18 replies
  • 6215 views

To all

Question is not yet related specifically to a Mathcad feature but has anyone ever heard of 'frequency band averaging (FBA) of an (output) PSD'? I have done some searches and came across a couple of papers mentioning it but nothing showing what are the (main) step carry out.

The overall idea (as I understand it) is to compare to PSDs using some kind of averaging method over a given frequency range

Thanks

Regards

JXB


18 replies

R
RichardJ19-Tanzanite
19-Tanzanite
November 16, 2015

See here: http://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences/12-864-inference-from-data-and-models-spring-2005/lecture-notes/

1.10 and 1.11 (mainly 1.11)

J
JBlackhole16-PearlAuthor
16-Pearl
November 19, 2015

thanks for the link

-
-MFra-21-Topaz II
21-Topaz II
November 19, 2015

Hello JB!

It deals with the average  Bandwidth of the Electronic Signal Processing Circuits relative to a position sensing detector.

So you need a DSP, which converts the signal (with integrated ADC), determines the bandwidth, and compute the average in the frequency domain and this can be done via software.

Bye!

J
JBlackhole16-PearlAuthor
16-Pearl
November 19, 2015

Thanks for the info. Appreciated

But in simple term. If I have frequency band (df) centered at a freq 'f' and know the (response) values of the signal at each freq. within df, then (if I understand) one could "replace" the response at 'f' by an average value ( sum(values in df)/n ) where n = number of value in band df

R
RichardJ19-Tanzanite
19-Tanzanite
November 19, 2015

Correct. It's not a very good way of smoothing (in terms of the trade off between noise and resolution), but it makes calculation of confidence levels easy. See the info at the link I posted for details.

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