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LTFAT - Frames

Peter L. Søndergaard, 2012 - 2023.

Creation of a frame object

frame - Construct a new frame
framepair - Construct a pair of frames
fusionframe - Construct a new fusion frame
framedual - The canonical dual frame
frametight - The canonical tight frame
frameaccel - Precompute arrays for faster application

Linear operators

frana - Frame analysis
frsyn - Frame synthesis
frsynmatrix - Frame synthesis operator matrix
frgramian - Frame Gramian operator
frameoperator - Frame operator
framediag - Diagonal of frame operator
franaiter - Iterative perfect reconstruction analysis
frsyniter - Iterative perfect reconstruction synthesis

Visualization

plotframe - Plot frame coefficients
framegram - Plot energy of signal in frame space

Information about a frame

framebounds - Frame bounds
framered - Redundancy of frame
framelength - Length of frame to expand signal
framelengthcoef - Length of frame given a set of coefficients
frameclength - Number of coefficients given input signal length
framevectornorms - Norms of the frame vectors

Coefficients conversions

framecoef2native - Convert to native transform format
framenative2coef - Convert native to column format
framecoef2tf - Convert to time-frequency plane layout
frametf2coef - Convert TF-plane layout to native
framecoef2tfplot - Convert to time-frequency plane layout for plotting

Non-linear analysis and synthesis

franabp - Basis pursuit using the SALSA algorithm.
franamp - Orthogonal matching pursuit
franalasso - LASSO thresholding using Landweber iterations.
franagrouplasso - Group LASSO thresholding.
frsynabs - Frame synthesis from magnitude of coefficients

For help, bug reports, suggestions etc. please visit http://github.com/ltfat/ltfat/issues