Dear researchers,
I am trying to plot a transient distribution which involves summation series upto infinity. Can anyone give me an insight on how to plot the summation series in matlab? Thank you !
You'll need to clip it at some point if you want to plot it.
Then using a dB scale for what is below the threshold might help you to see what is going on.
Could you analyse its derivatives instead?
Hello Vivekananthan,
My suggestion would be to truncate the upper limit of the summation at a certain finite value. You can try this a number of times each time further increasing the upper limit value. You can track the differences in the results for different upper limit values. Hopefully, after some value, the changes in the results start to become minimal. At that point, you can conclude that you have a good approximation for the upper limit.
Good luck on your studies,
Hi Vivekananthan,
Perhaps you can use MuPAD. Here is an example to plot the Leibniz sum of series for π. Enter the following command:
plot(plot::Sum(4*((-1)^j)/(2*j + 1), j = 0..200), plot::Function2d(PI, x=0..201, LineStyle = Dashed, LineColor = RGB::Red))
Good luck!
https://www.mathworks.com/help/symbolic/mupad_ref/plot-sum.html
Agree with Olcay and Hugh, truncate the process at several levels
in order to observe the progression of results.
Because you cannot reach a true "infinity" nor true "zero",
you must truncate your calculations. The dB scaling helps.
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