4 third and fourth derivative, 5 standard normal variate, 6 baseline correction – Metrohm Vision – Theory User Manual
Page 14: 7 detrend, Third and fourth derivative, Standard normal variate, Baseline correction, Detrend
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▪▪▪▪▪▪▪
Specified
Segment Size
Points per
segment, s
Specified
Gap Size
Points per
gap, g
1 – 2
1
1 – 2
1
3 – 6
3
3 – 6
3
7 – 10
5
7 – 10
5
11 – 14
7
11 – 14
7
15 – 18
9
15 – 18
9
19 – 22
11
19 – 22
11
2.4
Third and Fourth Derivative
The third and fourth derivatives are calculated as higher order finite-difference derivatives, analogous
to the methods described above for first and second derivatives.
2.5
Standard Normal Variate
Standard Normal Variate is a scatter correction method used commonly to normalize spectra when
the effective pathlength varies among samples in a data set. Such pathlength variation can occur
when measuring the spectra of granular or powdery samples because a) sample presentation in a cell
is not perfectly reproducible, or b) particle size varies between samples.
The spectrum is mean centered and then divided by its standard deviation:
s
s s
s s
n
i
SNV
i
i
i
n
=
−
−
−
=
∑
(
)
2
1
1
2.6
Baseline Correction
Baseline correction is used to change spectral offset by subtracting either a spectral value at a
specified wavelength, or a constant value entered manually.
2.7
Detrend
Detrend is a method that can be used to remove baseline offset, slope, or curvature from a spectrum.
This is accomplished by calculating a baseline function as the least squares fit of a polynomial to the
sample spectrum, and then subtracting that function from the spectrum.