contents.m

linear time－frequency toolbox

% The Linear Time-Frequency Analysis Toolbox.
%
%  Peter L. Soendergaard, 2007.
%
%  Basic Fourier/TF analysis
%    DFT            -  Unitary discrete Fourier transform.
%    IDFT           -  Inverse of DFT.
%    INVOLUTE       -  Involution.
%    PCONV          -  Periodic convolution.
%    HERMBASIS      -  Orthonormal basis of Hermite functions.
%    DSFT           -  Discrete Symplectic Fourier Transform
%    SHAH           -  Shah distribution.
%    PCHIRP         -  Periodic chirp.
%    ISEVEN         -  Test if function is even centered
%    MIDDLEPAD      -  Cut or extend even function.
%    ZAK            -  Zak transform.
%    IZAK           -  Inverse Zak transform.
%
%  Gabor systems.
%    DGT            -  Discrete Gabor transform.
%    IDGT           -  Inverse discrete Gabor transform.
%    DGT2           -  2D Discrete Gabor transform.
%    IDGT2          -  2D Inverse discrete Gabor transform.
%
%  Window construction for Gabor frames.
%    CANDUAL        -  Canonical dual window.
%    CANTIGHT       -  Canonical tight window.
%    PROJDUAL       -  Dual window by projection.
%    MIXDUAL        -  Dual window by mixing windows.
%
%  Wilson bases and MDCT.
%    DWILT          -  Discrete Wilson transform.
%    IDWILT         -  Inverse discrete Wilson transform.
%    DWILT2         -  2-D Discrete Wilson transform.
%    IDWILT2        -  2-D inverse discrete Wilson transform.
%    MDCT           -  Modified Discrete Cosine transform.
%    IMDCT          -  Inverse MDCT
%    MDCT2          -  2-D MDCT
%    IMDCT2         -  2-D inverse MDCT
%    WILORTH        -  Window of Wilson/MDCT orthonormal basis.
%    WILDUAL        -  Riesz dual window of Wilson/MDCT basis. 
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%  Window functions.
%    PGAUSS         -  Periodized Gaussian.
%    PSECH          -  Periodized SECH.
%    PHERM          -  Periodized Hermite functions.
%    PBSPLINE       -  Periodized B-spline.
%    FIRWIN         -  FIR windows (Hanning,Hamming,Blackman,...).
%    FIRKAISER      -  FIR Kaiser-Bessel window.
%    FIREXTEND      -  Extend FIR window to IIR window.
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%  Time Varying Filtering.
%    GABMUL         -  Gabor multiplier
%
%  Conditions numbers.
%    GFBOUNDS       -  Frame bounds of discrete Gabor frame.
%    WILBOUNDS      -  Frame bounds of Wilson basis.
%    GFDUALNORM     -  Test if two windows are dual.
%
%  Plots.
%    SGRAM          -  Spectrogram based on DGT
%    PHASEPLOT      -  Phaseplot of signal.
%    MAGRESP        -  Magnitude response plot
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%  Cosine and Sine transforms.
%    DCTI           -  Discrete cosine transform type I
%    DCTII          -  Discrete cosine transform type II
%    DCTIII         -  Discrete cosine transform type III
%    DCTIV          -  Discrete cosine transform type IV
%    DSTI           -  Discrete sine transform type I
%    DSTII          -  Discrete sine transform type II
%    DSTIII         -  Discrete sine transform type III
%    DSTIV          -  Discrete sine transform type IV
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%  For help, errors, suggestions etc. please send email to
%  [e-mail]
%