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% Time-Frequency Toolbox.% Version 1.0 January 1996% Copyright (c) 1994-96 by CNRS (France) - RICE University (USA).%% Signal Generation Files%% sigmerge - Add two signals with given energy ratio in dB.%% Choice of the Instantaneous Amplitude % amexpo1s - Generate one-sided exponential amplitude modulation.% amexpo2s - Generate bilateral exponential amplitude modulation.% amgauss - Generate gaussian amplitude modulation.% amrect - Generate rectangular amplitude modulation.% amtriang - Generate triangular amplitude modulation.% % Choice of the Instantaneous Frequency% fmconst - Signal with constant frequency modulation.% fmhyp - Signal with hyperbolic frequency modulation.% fmlin - Signal with linear frequency modulation.% fmodany - Signal with arbitrary frequency modulation.% fmpar - Signal with parabolic frequency modulation.% fmpower - Signal with power-law frequency modulation.% fmsin - Signal with sinusoidal frequency modulation.% gdpower - Signal with a power-law group delay.%% Choice of Particular Signals% altes - Altes signal in time domain.% anaask - Amplitude Shift Keyed (ASK) signal.% anabpsk - Binary Phase Shift Keyed (BPSK) signal.% anafsk - Frequency Shift Keyed (FSK) signal.% anapulse - Analytic projection of unit amplitude impulse signal.% anaqpsk - Quaternary Phase Shift Keyed (QPSK) signal.% anasing - Lipschitz singularity.% anastep - Analytic projection of unit step signal.% atoms - Linear combination of elementary Gaussian wave packets. % dopnoise - Generate complex Doppler random signal.% doppler - Generate complex Doppler signal.% klauder - Klauder wavelet in time domain.% mexhat - Mexican hat wavelet in time domain.% tftb_window - Window generation (previously window.m).%% Addition of Noise% noisecg - Analytic complex gaussian noise.% noisecu - Analytic complex uniform noise.%% Modification% scale - Scale signal using Mellin transform.% %% Processing Files%% Time-Domain Processing% ifestar2 - Instantaneous frequency estimation using AR2 modelisation.% instfreq - Instantaneous frequency estimation.% loctime - Time localization characteristics.% % Frequency-Domain Processing% fmt - Fast Mellin transform% ifmt - Inverse fast Mellin transform.% locfreq - Frequency localization characteristics.% sgrpdlay - Group delay estimation.%% Linear Time-Frequency Processing% tfrgabor - Gabor representation.% tfrstft - Short time Fourier transform.%% Bilinear Time-Frequency Processing in the Cohen's Class% tfrbj - Born-Jordan distribution. % tfrbud - Butterworth distribution. % tfrcw - Choi-Williams distribution. % tfrgrd - Generalized rectangular distribution. % tfrmh - Margenau-Hill distribution. % tfrmhs - Margenau-Hill-Spectrogram distribution. % tfrmmce - MMCE combination of spectrograms. % tfrpage - Page distribution. % tfrpmh - Pseudo Margenau-Hill distribution. % tfrppage - Pseudo Page distribution. % tfrpwv - Pseudo Wigner-Ville distribution. % tfrri - Rihaczek distribution. % tfrridb - Reduced interference distribution (Bessel window).% tfrridh - Reduced interference distribution (Hanning window).% tfrridn - Reduced interference distribution (binomial window).% tfrridt - Reduced interference distribution (triangular window).% tfrsp - Spectrogram. % tfrspwv - Smoothed Pseudo Wigner-Ville distribution. % tfrwv - Wigner-Ville distribution.% tfrzam - Zhao-Atlas-Marks distribution. %% Bilinear Time-Frequency Processing in the Affine Class% tfrbert - Unitary Bertrand distribution.% tfrdfla - D-Flandrin distribution.% tfrscalo - Scalogram, for Morlet or Mexican hat wavelet.% tfrspaw - Smoothed Pseudo Affine Wigner distributions.% tfrunter - Unterberger distribution, active or passive form.% % Reassigned Time-Frequency Processing% tfrrgab - Reassigned Gabor spectrogram.% tfrrmsc - Reassigned Morlet Scalogram time-frequency distribution.% tfrrpmh - Reassigned Pseudo Margenau-Hill distribution.% tfrrppag - Reassigned Pseudo Page distribution.% tfrrpwv - Reassigned Pseudo Wigner-Ville distribution.% tfrrsp - Reassigned Spectrogram. % tfrrspwv - Reassigned Smoothed Pseudo WV distribution.%% Ambiguity Functions% ambifunb - Narrow band ambiguity function.% ambifuwb - Wide band ambiguity function.%% Post-Processing or Help to the Interpretation% friedman - Instantaneous frequency density.% holder - Estimate the Holder exponent through an affine TFR.% htl - Hough transform for detection of lines in images.% margtfr - Marginals and energy of a time-frequency representation.% midscomp - Mid-point construction used in the interference diagram. % momftfr - Frequency moments of a time-frequency representation.% momttfr - Time moments of a time-frequency representation.% plotsid - Schematic interference diagram of FM signals. % renyi - Measure Renyi information.% ridges - Extraction of ridges.% tfrideal - Ideal TFR for given frequency laws.%% Visualization & backup% plotifl - Plot normalized instantaneous frequency laws.% tfrqview - Quick visualization of time-frequency representations.% tfrview - Visualization of time-frequency representations.% tfrparam - Return the paramaters needed to display (or save) a TFR.% tfrsave - Save the parameters of a time-frequency representation.%%% Other % disprog - Display progression of a loop.% divider - Find dividers of integer such that product equals integer. % dwindow - Derive a window.% integ - Approximate integral.% integ2d - Approximate 2-D integral.% izak - Inverse Zak transform.% istfr1 - returns true if a distribution is Cohen's class type 1 (spectrogram)% istfr2 - returns true if a distribution is Cohen's class type 2 (Wigner-Ville)% istfraff - returns true is a distribution is an affine class member% kaytth - Kay-Tretter filter computation.% modulo - Congruence of a vector.% movcw4at - Four atoms rotating, analyzed by the Choi-Williams distribution.% movpwdph - Influence of a phase-shift on the interferences of the pWVD.% movpwjph - Influence of a jump of phase on the interferences of the pWVD.% movsc2wv - Movie illustrating the passage from the scalogram to the WVD.% movsp2wv - Movie illustrating the passage from the spectrogram to the WVD.% movwv2at - Oscillating structure of the interferences of the WVD. % odd - Round towards nearest odd value.% sigmerge - Add two signals with given energy ratio in dB.% zak - Zak transform.% griffitc - Test signal example C of Griffiths' paper.% lambdak - Evaluate lambda function for Affine Wigner distribution.% umaxbert - Determination of the maximum value of u for Bertrand distribution.% umaxdfla - Determination of the maximum value of u for D-Flandrin distribution.% umaxunte - Determination of the maximum value of u for Unterberger distribution.
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