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.

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