Generating mathematical equation from known discrete values of frequency, amplitude and phase

Dear all

I was thinking as we can pick any signal using sensors and process it in digital form, is it possible to generate a mathematical equation out of this data.

I could process the data and was able to separate the frequencies and its corresponding amplitude and phase from FFT. But now when I am generating a mathematical equation from it, I'm confused what type of function I should select so avoid any error.

Regards

Answer 1

[Matt J]

No, there is no reason why a closed form equation would exist for any arbitrary signal. However, you can interpolate the discrete values using, for example, griddedInterpolant():

https://www.mathworks.com/help/matlab/ref/griddedinterpolant.html