INVOLUTE Involution
Usage: finv=involute(f);
finv=involute(f,dim);
INVOLUTE(f) will return the involution of f.
INVOLUTE(f,dim) will return the involution of f along dimension dim.
This can for instance be used to calculate the 2D involution:
f=involute(f,1);
f=involute(f,2);
The involution finv of f is given by:
finv(l+1)=conj(f(mod(-l,L)+1));
for l=0,...,L-1.
The relation between conjugation, Fourier transformation and involution
is expressed by:
conj(dft(f)) == dft(involute(f))
for all signals f. The inverse discrete Fourier transform can be
expressed by:
idft(f) == conj(involute(dft(f)));
Url: http://ltfat.github.io/doc/fourier/involute.html
See also: dft, pconv.
Package: ltfat