fitting sum of two decaying exponentials (over damped oscillator)

five-parameter fit to the equation A*exp(-t/T1) + B*exp( -t/T2 ) + offset

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Updated Thu, 09 Feb 2012 17:21:04 +0000

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[A, B, T1, T2, offset, Ssq] = fit_overdamping( t, y, options )
fitting overdamped harmonic oscillator of the form
y(t) = A exp( -t/T1 ) + B exp( -t/T2) + offset
where A and B are the amplitudes (assumed positive), and T1, T2 are the
decay times. Ssq is the sum of residuals.

options are 'notify' to show progress and 'plot' to give a plot
you can also supply a guess or series of guesses via a row vector or
matrix, m, where size( m, 2 ) = 5;

if you just run program without arguments it will do an example

examples are
fit_overdamping( t, y, 'notify', 'plot')
[A, B, T1, T2, offset] = fit_overdamping( t, y, [1 2 3 4 5])

Note: this script uses LMFnlsq from MATLAB central file exchange
sak@wpi.edu 2/8/12

Cite As

Stephan Koehler (2023). fitting sum of two decaying exponentials (over damped oscillator) (https://www.mathworks.com/matlabcentral/fileexchange/35016-fitting-sum-of-two-decaying-exponentials-over-damped-oscillator), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
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Version Published Release Notes
1.0.0.0