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fitting sum of two decaying exponentials (over damped oscillator)

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

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Description

 [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

MATLAB release MATLAB 6.5 (R13)
Other requirements This program uses LMFnlsq, which can be downloaded from MATLAB central file exchange.
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