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% LTFAT - Gabor analysis
%
% Peter L. Soendergaard, 2007 - 2018.
%
% Basic Time/Frequency analysis
% TCONV - Twisted convolution
% DSFT - Discrete Symplectic Fourier Transform
% ZAK - Zak transform
% IZAK - Inverse Zak transform
% COL2DIAG - Move columns of a matrix to diagonals
% S0NORM - S0-norm
%
% Gabor systems
% DGT - Discrete Gabor transform
% IDGT - Inverse discrete Gabor transform
% ISGRAM - Iterative reconstruction from spectrogram
% ISGRAMREAL - Iterative reconstruction from spectrogram for real-valued signals
% DGT2 - 2D Discrete Gabor transform
% IDGT2 - 2D Inverse discrete Gabor transform
% DGTREAL - DGT for real-valued signals
% IDGTREAL - IDGT for real-valued signals
% GABWIN - Evaluate Gabor window
% PROJKERN - Projection of Gabor coefficients onto kernel space
% DGTLENGTH - Length of Gabor system to expand a signal
%
% Multi-Gabor systems
% MULTIDGTREALMP - Matching pursuit decomposition in Multi-Gabor system
%
% Wilson bases and WMDCT
% DWILT - Discrete Wilson transform
% IDWILT - Inverse discrete Wilson transform
% DWILT2 - 2-D Discrete Wilson transform
% IDWILT2 - 2-D inverse discrete Wilson transform
% WMDCT - Modified Discrete Cosine transform
% IWMDCT - Inverse WMDCT
% WMDCT2 - 2-D WMDCT
% IWMDCT2 - 2-D inverse WMDCT
% WIL2RECT - Rectangular layout of Wilson coefficients
% RECT2WIL - Inverse of WIL2RECT
% WILWIN - Evaluate Wilson window
% DWILTLENGTH - Length of Wilson/WMDCT system to expand a signal
%
% Reconstructing windows
% GABDUAL - Canonical dual window
% GABTIGHT - Canonical tight window
% GABFIRDUAL - FIR optimized dual window
% GABOPTDUAL - Optimized dual window
% GABFIRTIGHT - FIR optimized tight window
% GABOPTTIGHT - Optimized tight window
% GABCONVEXOPT - Optimized window
% GABPROJDUAL - Dual window by projection
% GABMIXDUAL - Dual window by mixing windows
% WILORTH - Window of Wilson/WMDCT orthonormal basis
% WILDUAL - Riesz dual window of Wilson/WMDCT basis
%
% Conditions numbers
% GABFRAMEBOUNDS - Frame bounds of Gabor system
% GABRIESZBOUNDS - Riesz sequence/basis bounds of Gabor system
% WILBOUNDS - Frame bounds of Wilson basis
% GABDUALNORM - Test if two windows are dual
% GABFRAMEDIAG - Diagonal of Gabor frame operator
% WILFRAMEDIAG - Diagonal of Wilson/WMDCT frame operator
%
% Phase gradient methods and reassignment
% GABPHASEGRAD - Instantaneous time/frequency from signal
% GABPHASEDERIV - Phase derivatives
% GABREASSIGN - Reassign positive distribution
% GABREASSIGNADJUST - Adjustable t-f reassignment
%
% Phase reconstruction
% CONSTRUCTPHASE - Phase construction from abs. values of DGT
% CONSTRUCTPHASEREAL - CONSTRUCTPHASE for DGTREAL
%
% Phase conversions
% PHASELOCK - Phase Lock Gabor coefficients to time. inv.
% PHASEUNLOCK - Undo phase locking
% PHASELOCKREAL - Same as PHASELOCK for DGTREAL
% PHASEUNLOCKREAL - Same as PHASEUNLOCK for IDGTREAL
% SYMPHASE - Convert to symmetric phase
%
% Support for non-separable lattices
% MATRIX2LATTICETYPE - Matrix form to standard lattice description
% LATTICETYPE2MATRIX - Standard lattice description to matrix form
% SHEARFIND - Shears to transform a general lattice to a separable
% NOSHEARLENGTH - Next transform side not requiring a frequency side shear
%
% Plots
% TFPLOT - Plot coefficients on the time-frequency plane
% PLOTDGT - Plot DGT coefficients
% PLOTDGTREAL - Plot DGTREAL coefficients
% PLOTDWILT - Plot DWILT coefficients
% PLOTWMDCT - Plot WMDCT coefficients
% SGRAM - Spectrogram based on DGT
% GABIMAGEPARS - Choose parameters for nice Gabor image
% RESGRAM - Reassigned spectrogram
% INSTFREQPLOT - Plot of the instantaneous frequency
% PHASEPLOT - Plot of STFT phase
%
% For help, bug reports, suggestions etc. please visit
% http://github.com/ltfat/ltfat/issues
%
% Url: http://ltfat.github.io/doc/gabor/Contents.html
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.3.1
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
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