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5 smoothing and differentiation – Metrohm 746 VA Trace Analyzer User Manual

Page 471

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6 Data processing and evaluation

746 VA Trace Analyzer / 747 VA Stand

6-8

6.5

Smoothing and differentiation

Following the spike elimination and the background compensation, the measured

values of the processed curve

processed

are smoothed. This is done in a sliding

window with a fixed number of measured points, which depends on the SWEEP in-

struction as follows:

Sweep

U.step

Smoothing window Number of points

SWEEP

FSWEEP

SSWEEP

2
4
6
8

10
12

48 mV
56 mV
60 mV
64 mV
60 mV
72 mV

25
15
11

9
7
7

CYCSWEEP

with 1 ramp

1
2
3
4
5
6
7
8
9

10
11
12

24 mV
48 mV
72 mV
56 mV
60 mV
60 mV
70 mV
64 mV
72 mV
60 mV
66 mV
72 mV

25
25
25
15
15
11
11

9
9
7
7
7

TSWEEP

7

PSWEEP

7

For the measured points in the smoothing window, a digital filter is applied and its

mid-point I

s

stored in the window as "smoothed". The window is now continuously

shifted by 1 measured point and the procedure repeated until all measured points

have been smoothed.

I

n

For every single sweep, the total of all smoothed measured points results in the

smoothed curve

smoothed

. In smoothing, the curve is also automatically differenti-

ated to give the derived curve

derived

(1

st

derivative).

The smoothing reduces the influence of the signal noise due to the scatter of the

measured values at a very low signal level. In the development of a new method,

particularly with low analyte content, the original curve and the smoothed curve

should be compared with each other to assess the effect of smoothing.

I

s

Smoothing window