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GABPROJDUAL - Gabor Dual window by projection

Usage

gd=gabprojdual(gm,g,a,M)
gd=gabprojdual(gm,g,a,M,L)

Input parameters

gm Window to project.
g Window function.
a Length of time shift.
M Number of modulations.
L Length of transform to consider

Output parameters

gd Dual window.

Description

gabprojdual(gm,g,a,M) calculates the dual window of the Gabor frame given by g, a and M closest to gm measured in the \(l^2\) norm. The function projects the suggested window gm onto the subspace of admissable dual windows, hence the name of the function.

gabprojdual(gm,g,a,M,L) first extends the windows g and gm to length L.

gabprojdual(...,'lt',lt) does the same for a non-separable lattice specified by lt. Please see the help of matrix2latticetype for a precise description of the parameter lt.