LTFAT - Gabor analysis

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
• gabphasederivreal - Phase derivatives for dgtreal
• gabreassign - Reassign positive distribution
• gabreassignreal - Reassign positive distribution for real signals
• 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