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About the continuous Fourier Transform
12-13-2020, 08:33 AM
Post: #18
RE: About the continuous Fourier Transform
(12-10-2020 06:51 AM)dah145 Wrote:  
(12-09-2020 12:42 PM)Aries Wrote:  Hi dah145,
in a short while I'll show how I did with the TI-Nspire CAS, maybe it could be helpful to you.
See you later, then.
Best,

Aries ;-)

That'll be nice yeah. Thank you.

Hey dah145,
I'm back, here is a simple app:

[Image: fapp1.jpg]

[Image: fapp2.jpg]

First off you define the piecewise function (in an interval equal to a period) like this (say for rect(t) function):

[Image: rect.jpg]

Then you "describe" the function as a matrix (and store it to ff, as requested by the app), like this:

[Image: matrix.jpg]

Lastly, you can apply fourier(ff):

[Image: fourier.jpg]

The graph:

[Image: rect-plot.jpg]

For every row in the matrix (cycle "for"), the program runs the integration and then the results (stored in "s") are counted together.
I hope this can be a valid "starting point", eventually you could do so much more.
Happy XMas to you and everyone here,

Aries Smile
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RE: About the continuous Fourier Transform - Aries - 12-13-2020 08:33 AM



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