28.1.62 ExpGrowDec

Function

y=\left\{\begin{matrix}
y_{0}+A_{d}+A_{g}\left ( e^{-x_{c}/t_{g}}-e^{-x/t_{g}} \right ) \quad x\leq x_{c}\\ 
y_{0}+A_{d}e^{-\left ( x-x_{c} \right )/t_{d}}\qquad \qquad\qquad \quad x>x_{c}
\end{matrix}\right.

Brief Description

Exponential function with one growth and one decay phases.

Sample Curve

ExpGrowDec.jpg

Parameters

Number: 6

Names: y0, xc, Ag, tg, Ad, td

Meanings: y0 = offset, xc = center, Ag = growth amplitude, tg = growth time constant, Ad = decay amplitude, td = decay time constant

Lower Bounds: 0 < xc, Ag, tg, Ad, td

Upper Bounds: none

Derived Parameters

Script Access

nlf_ExpGrowDec(x,y0,xc,Ag,tg,Ad,td)

Function File

fitfunc\ExpGrowDec.fdf

Category

Exponential