| gaussCurve {SpecHelpers} | R Documentation |
Compute a Gaussian Curve
Description
Computes the y values describing a Gaussian distribution given a range of x values and parameters for mu, sigma, and area. A tail may be introduced into the curve to simulate the behavior of some chromatography peaks.
Usage
gaussCurve(x, area, mu, sigma, tail)
Arguments
x |
A vector of x values which will be used to compute the corresponding y values. Use enough to give good resolution. |
area |
The area of the peak, in arbitrary units. |
mu |
The position of the peak. Must fall in the range of x, of course. |
sigma |
The standard deviation of the peak. |
tail |
A value describing any tailing desired. If NA, no tailing is applied. |
Value
A vector of y values corresponding to the x values supplied.
Author(s)
Bryan A. Hanson, DePauw University. hanson@depauw.edu
See Also
lorentzCurve, makeSpec which uses this
function to make either spectra or chromatograms.
Examples
### A pure Gaussian curve
myx <- seq(0, 100, length.out = 1000) # use lots of point for resolution
myy <- gaussCurve(x = myx, area = 1, mu = 40, sigma = 1.5, tail = NA)
plot(myx, myy, type = "l", main = "Pure Gaussian Curve")
### Now with tailing
myy2 <- gaussCurve(x = myx, area = 1, mu = 40, sigma = 1.5, tail = 0.1)
plot(myx, myy2, type = "l", main = "Gaussian Curve with Tailing")