Re: [eigen] A complex FFT for Eigen

[Matthias Pospiech <matthias.pospiech@xxxxxx>]

Benoit Jacob schrieb:
> > Fourier Transform is by definition using complex numbers.
> >     
>
> As far as the math aspect is concerned -- I know ;)
> My question was more, is it in practice used that way or is it somehow
> hidden like e.g. with Fourier series when one splits off the cos and
> sin parts of the fourier series that is basically a complex series
> too.
>
>   
We (as my laserphysics institute group) are using fourier transform for 
transforming from frequency to time domain bakc and forth (using complex 
numbers, because the phase is very much relevant) and for fourier optics 
which is a transformation between the diffracting domain and the fourier 
domain where the phase and amplitude of the light wavefront is required 
for computation. So from my view it is very common to have complex 
numbers, in case you are interested in the phase.


---