FRGRAMIAN Frame Gramian operator
Usage: o=frgramian(c, F);
o=frgramian(c, Fa, Fs);
Input parameters:
c : Input coefficients
Fa : Analysis frame
Fs : Synthesis frame
Output parameters:
o : Output coefficients
o=FRGRAMIAN(c,F) applies the Gramian operator or Gram matrix of the
frame F. The entries of the Gram matrix are the inner products of the
frame elements of F. The frame must have been created using FRAME.
If the frame F is a Parseval frame, the Gramian operator is a projection
onto the range of the frame analysis operator.
o=FRGRAMIAN(c, Fa, Fs) applies the (cross) Gramian operator with the
frames Fa and Fs. Here Fs is the frame associated with the frame
synthesis operator and Fa the frame that is associated with the
frame analysis operator. The entries of the matrix that is constructed
through the Gramian operator are the inner products of the frame
elements of Fa and Fs.
If Fa and Fs are canonical dual frames, the Gramian operator is a
projection onto the range of the frame analysis operator.
Package: ltfat