FRAMEMATRIX Frame synthesis operator matrix
Usage: G=framematrix(F,L);
G=frsynmatrix(F,L) returns the matrix representation G of the frame
synthesis operator for a frame F of length L. The frame object F*
must have been created using FRAME.
The frame synthesis operator matrix contains all the frame atoms as
column vectors. It has dimensions L xNcoef, where Ncoef is the
number of coefficients. The number of coefficients can be found as
Ncoef=framered(F)*L. This means that the frame matrix is usually
*very* large, and this routine should only be used for small values of
L.
The action of the frame analysis operator FRANA is equal to
multiplication with the Hermitean transpose of the frame
matrix. Consider the following simple example:
L=200;
F=frame('dgt','gauss',10,20);
G=frsynmatrix(F,L);
testsig = randn(L,1);
res = frana(F,testsig)-G'*testsig;
norm(res)
Url: http://ltfat.github.io/doc/deprecated/framematrix.html
See also: frame, frana, frsyn.
Package: ltfat