signal_integrate: Signal Integration

Description

Integration of the spectrum including uncertainty calculation.

Usage

signal_integrate(object, background, ...)
# S4 method for GammaSpectrum,missing
signal_integrate(object, range = NULL, energy = FALSE)
# S4 method for GammaSpectrum,GammaSpectrum
signal_integrate(object, background, range = NULL, energy = FALSE)
# S4 method for GammaSpectrum,numeric
signal_integrate(object, background, range = NULL, energy = FALSE)
# S4 method for GammaSpectra,missing
signal_integrate(object, range = NULL, energy = FALSE, simplify = TRUE)
# S4 method for GammaSpectra,GammaSpectrum
signal_integrate(
  object,
  background,
  range = NULL,
  energy = FALSE,
  simplify = TRUE
)
# S4 method for GammaSpectra,numeric
signal_integrate(
  object,
  background,
  range = NULL,
  energy = FALSE,
  simplify = TRUE
)

Value

If simplify is FALSE (the default) returns a list of numeric vectors (the signal value and its error), else returns a matrix.

Arguments

object: A GammaSpectrum or GammaSpectra object.
background: A GammaSpectrum object.
...: Currently not used.
range: A length-two numeric vector giving the energy range to integrate within (in keV).
energy: A logical scalar: use the energy or count threshold for the signal integration
simplify: A logical scalar: should the result be simplified to a matrix? The default value, FALSE, returns a list.

Author

N. Frerebeau

Details

The function supports two integration techniques (see Guérin & Mercier 2011), the (1) count threshold integration and the (2) energy integration method:

The count integration technique (energy = FALSE) integrates all counts in given range:

$A = \frac{Σ_{i}^{N} S_{i}}{t_{l i v e}}$

Contrary, the energy integration techniques is the integrated cross-product of counts and corresponding energy per channel:

$A = \frac{Σ_{i}^{N} S_{i} \times E_{i}}{t_{l i v e}}$

$A$ is the area, $S_{i}$ is the signal in the $i^{t h}$ channel, $N$ the number of channels, $E_{i}$ the energy of the corresponding channel in keV. $t_{l i v e}$ is the live time of the measurement in s.

For calculating the uncertainties, Poisson statistics are assumed and hence the errors is calculated as:

$σ_{A} = \frac{\sqrt{A}}{t_{l i v e}}$

References

Guérin, G. & Mercier, M. (2011). Determining Gamma Dose Rates by Field Gamma Spectroscopy in Sedimentary Media: Results of Monte Carlo Simulations. Radiation Measurements, 46(2), p. 190-195. tools:::Rd_expr_doi("10.1016/j.radmeas.2010.10.003").

Mercier, N. & Falguères, C. (2007). Field Gamma Dose-Rate Measurement with a NaI(Tl) Detector: Re-Evaluation of the "Threshold" Technique. Ancient TL, 25(1), p. 1-4.

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