8cbc2f08-cc36-4d6a-ae06-58ef2e179378 11 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Convolution ... suggestive example

W t f 22 ln sqrt * W π sqrt * / 42 ln * t W / (2^* - exp * :

t δ Φ t δ Heaviside :

A B δ t g A t δ Φ * B t * - exp * :

A ... magnitude g(A,B,δ,t)
B ... pulse shape g(A,B,δ,t)
W ... shape width f(W,t) 
δ ... shift ≥ 0 A 1 : B 0.5 : W 2 : δ 0.5 : 41 sys

t L W t u - f A B δ u g * u δ t int :

This demo example suggests best fitting some data set otherwise difficult from lack of models. Mathcad/Mathsoft [8.Pro, 11] would best Minerr [A, B, W, δ]. Not attempted Smath.

Convol t δ 10 δ 0.025 + (range : i 1 t rows range y i el t i el L eval : for t y augment 31 line :

t0 1 time :

Convol W x f δ 0 + 40 black 1 5 mat 3 1 sys

1 time t0 - min 1.9

A B δ x g A 1 δ x g 2 1 sys A B δ x g A 1 δ x g -