28.1.61 ExpGrow3Dec2

Function

y=\left\{\begin{matrix}
y_{0}+A_{d1}+A_{d2}+A_{g1}\left ( e^{-x_{c}/t_{g1}}-e^{-x/t_{g1}} \right )+A_{g2}\left ( e^{-x_{c}/t_{g2}}-e^{-x/t_{g2}} \right )+A_{g3}\left ( e^{-x_{c}/t_{g3}}-e^{-x/t_{g3}} \right ) \quad x\leq x_{c}\\ 
y_{0}+A_{d1}e^{-\left ( x-x_{c} \right )/t_{d1}}+A_{d2}e^{-\left ( x-x_{c} \right )/t_{d2}} \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad x>x_{c}
\end{matrix}\right.

Brief Description

Exponential function with three growth and two decay phases.

Sample Curve

ExpGrow3Dec2.jpg

Parameters

Number: 12

Names: y0, xc, Ag1, tg1, Ag2, tg2, Ag3, tg3, Ad1, td1, Ad2, td2

Meanings: y0 = offset, xc = center, Ag1,Ag2,Ag3 = growth amplitude, tg1,tg2 = growth time constant, Ad1,Ad2 = decay amplitude, td1,td2 = decay time constant

Lower Bounds: 0 < xc, Ag1, tg1, Ag2, tg2, Ag3, tg3, Ad1, td1, Ad2, td2

Upper Bounds: none

Derived Parameters

Script Access

nlf_ExpGrow3Dec2(x,y0,xc,Ag1,tg1,Ag2,tg2,Ag3,tg3,Ad1,td1,Ad2,td2)

Function File

fitfunc\ExpGrow3Dec2.fdf

Category

Exponential