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rms



Purpose

Computes the RMS response of the given frequency response function xf or auto-spectra a to a unity white noise input over the frequency range w.

Syntax
rm = rms(t,w)
rm = rms(a,w,1)
Description

The presence of a third input argument indicates that an auto-spectrum a is used (instead of frequency response function xf).

A trapezoidal integration is used to estimate the root mean squared response
rms = (
1
2p
ó
õ
2


1
| t() |2 d)1/2 = (
1
2p
ó
õ
2


1
a() d)1/2

If xf is a matrix containing several column FRF, the output is a row with the RMS response for each column.



Warning

If only positive frequencies are used in w, the results are multiplied by 2 to account for negative frequencies.



See also

ii_cost

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