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Noise Statistics details

The Noise Statistics calculates the Signal/Noise ratio and some other statistic values of one or more data objects available in the current data view. The Signal/Noise ratio can be calculated for a particular spectral region or the whole data range.

The Noise Statistics command is available in the Mathematics menu.

Noise Calculation Algorithms

Some characteristic values are calculated for the noise statistics result:

Mean Value

The mean value M calculates the mean of all intensities Si  in a user defined spectral range of interest. The following equation is applied:

Where

M: Mean intensity value

N: Number of data points in range

Si: Intensity values

Peak-to-peak Deviation

The peak-to-peak deviation is calculated from a linear least squares fit among a spectral windows. Calculation considers the baseline respectively. The following equation is used:

Where

Dp-p: Peak-to-peak deviation (baseline corrected)

(Fcenter-Fwing .. Fcenter+Fwing): Specifies start and end point of the range of interest

Yi: Linear function determined from a linear least squares fit among data points.

Si: Intensity values

Standard Deviation

The standard deviation for baseline-corrected data is calculated from the following equation:

Where

Dst: Standard deviation

N: Number of data points in range

Si: Intensity values

Yi: Linear function determined from a linear least squares fit among data points.

Signal to Noise Ratio Peak-to-Peak

The signal to noise ratio peak-to-peak is calculated using the following equation:

Where

SNRp-p: Peak-to-peak Signal to Noise Ratio

M: Mean intensity value

Dp-p: Peak-to-peak deviation (baseline corrected)

Signal to Noise Ratio Root Mean Square Error

The root mean square error (RMS) for the signal to noise ratio is calculated using the following equation:

Where

SNRRMS: Signal to Noise Ratio Root Mean Square Error

M: Mean intensity value

Dst: Standard deviation