[Scilab-users] circshift() : Scilab Enhancement Proposal

sgougeon at free.fr sgougeon at free.fr
Thu Jun 7 14:32:16 CEST 2018


>Samuel, 
>
>The idea and the implementation of the end-points interpolation is that
>this is done on the input data (big slope), not on the FFT output.

This is clear

>Maybe be it needs some further work. Tbc. 

I don't think so.

>Noting also that between the endpoints of the DFT periodic input, there is the interval of one sample.

That is to say: Let u(1:$) be the original signal.
Since it is virtually periodic, the FFT sees u($+1)=u(1).
Do we agree about this?

Then: Do we agree on that the |slope| across the shifted edges
of u is necessarily greater or equal to |u($)-u(1)|/1 ?



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