I'd like to force my exponential fit to start at [0 0]
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So, I've got some noisy data. When averaged, the data fit nicely along a double exponential fit, starting off with with a positive slope that decays to near 0 (horizontal line).
However, when I want to fit the same curve to the individual traces, things aren't so neat. Sometimes, the slope is initially negative and shallows out, other times, it's flat and then increases exponentially at the end.
How can I force the exponential fit that I want? It seems like 'Startpoint' is a good starting point (heh).
Here's my code:
[u,gof] = fit(time,y,'exp2');
And this doesn't seem to work:
[u,gof] = fit(time,y,'exp2','Startpoint',[0 0]);
??? Index exceeds matrix dimensions.
Any thoughts would be appreciated.
Thanks, Stefan
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Joe S
2013-4-24
Not sure if it will fix it, but remember an exponential function can never equal zero unless your A1 & A2 are both 0 (which you don't want). Try a small positive number, say 0.001 for your y-start..
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Walter Roberson
2013-4-24
For any exponential function, f(x+1)/f(x) is always a constant (dependent on the exponential being used.) If any f(x+1) was exactly 0 for finite x, then f(x) would have to have been 0 as well, and by induction f(x) would have to be identical to 0. Therefore no exponential function can ever be exactly 0 at any finite location.
You can force an exponential to fit exactly through any finite non-zero location, but not through 0.
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