fitting decaying oscillations

版本 1.4.0.0 (2.3 KB) 作者: Stephan Koehler
From inputs t, y the best fit to the decaying oscillation is determined.
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更新时间 2012/2/9

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[A, T1, T2, phase, offset, Ssq] = fit_decay_oscillations( t, y, options )
fitting decaying oscillations of the form
y(t) = A exp( -t/T1 ) cos( t / T2 + phi) + offset
where A is the amplitude, T1 is the decay time, T2 is the period, along with
phase and offest. 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_decay_oscillations( t, y, 'notify', 'plot')
[A, T1, T2, phase, offset] = fit_decay_oscillations( t, y, [1 2 3 4 5])

Note: this script uses LMFnlsq from MATLAB central file exchange
sak@wpi.edu 2/5/12

引用格式

Stephan Koehler (2024). fitting decaying oscillations (https://www.mathworks.com/matlabcentral/fileexchange/34971-fitting-decaying-oscillations), MATLAB Central File Exchange. 检索来源 .

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版本 已发布 发行说明
1.4.0.0

another bug fix

1.3.0.0

speed improvement, and fixed calculation of Jacobian

1.2.0.0

used the Jacobian matrix to speed calculations.

1.1.0.0

bug fix

1.0.0.0