Peakpvoigt1
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Purpose
Outputs a pseudo-Voigt function, Jacobian, and Hessian for a given set of input parameters and axis.
Synopsis
- [y,y1,y2] = peakpvoigt1(x,ax)
Description
Given a 4-element vector of parameters (x) and a vector of independent variables e.g. a wavelength or frequency axis (ax), PEAKPVOIGT1 outputs a pseudo-voit peak (y). If more than one output is requested, it also outputs the Jacobian (y1) and Hessian (y2). Derivatives are with respect to the parameters and are evaluated at (x). This function is called by PEAKFUNCTION.
Inputs
- x = 4 element vector with parameters
- x(1) = coefficient ,
- x(2) = mean ,
- x(3) = spread , and
- x(4) = fraction Gaussian .
- ax = vector of independent variables e.g. a wavelength or frequency axis with elements , .
Outputs
- y = vector with the Lorentzian function, .
- y1 = matrix of the Jacobian of evaluated at (x).
- y2 = matrix of the Hessian of evaluated at (x).
Algorithm
The function is
Examples
- %Make a single known peak
- ax = 0:0.1:100;
- y = peakpvoigt1([2 51 8 0.5],ax);
- plot(ax,y)
See Also
peakfunction, peakgaussian, peaklorentzian, peakpvoigt2, peakstruct