Glossary and summary

This section contains detailed descriptions of all the Time-Frequency Toolbox functions. It begins with a glossary and a list of functions grouped by subject area and continues with the reference entries in alphabetical order. Information is also available through the online help facility.

AF	Ambiguity function
AR	Auto-regressive (filter or model)
ASK	Amplitude shift keyed signal
BJD	Born-Jordan distribution
BPSK	Binary phase shift keyed signal
BUD	Butterworth distribution
CWD	Choi-Williams distribution
FM	Frequency modulation
FSK	Frequency shift keyed signal
GRD	Generalized rectangular distribution
HT	Hough transform
MHD	Margenau-Hill distribution
MHSD	Margenau-Hill-Spectrogram distribution
MMCE	Minimum mean cross-entropy
NAF	Narrow-band ambiguity function
PMHD	Pseudo Margenau-Hill distribution
PWVD	Pseudo Wigner-Ville distribution
QPSK	Quaternary phase shift keyed signal
RID	Reduced interference distribution
STFT	Short-time Fourier transform
TFR	Time-frequency representation
WAF	Wide-band ambiguity function
WVD	Wigner-Ville distribution
ZAM	Zhao-Atlas-Marks distribution

• Signal generation files

  Choice of the Instantaneous Amplitude
  amexpo1s	One-sided exponential amplitude modulation
  amexpo2s	Bilateral exponential amplitude modulation
  amgauss	Gaussian amplitude modulation
  amrect	Rectangular amplitude modulation
  amtriang	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 atoms
  dopnoise	Complex Doppler random signal
  doppler	Complex Doppler signal
  klauder	Klauder wavelet in time domain
  mexhat	Mexican hat wavelet in time domain
  window	Window generation

  Noise Realizations
  noisecg	Analytic complex gaussian noise
  noisecu	Analytic complex uniform white noise

  Modification
  scale	Scale a signal using the Mellin transform
  sigmerge	Add two signals with a given energy ratio in dB

• 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	Minimum mean cross-entropy 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)
  tfrridbn	Reduced interference distribution (binomial window)
  tfrridh	Reduced interference distribution (Hanning window)
  tfrridt	Reduced interference distribution (triangular window)
  tfrsp	Spectrogram distribution
  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	Estimation of the Hölder exponent through an affine TFR
  htl	Hough transform for detection of lines in images
  margtfr	Marginals and energy of a time-frequency representation
  midpoint	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 from a reassigned TFR
  tfrideal	Ideal TFR for given frequency laws

  Visualization and backup
  plotifl	Plot normalized instantaneous frequency laws
  tfrparam	Return the paramaters needed to display (or save) a TFR
  tfrqview	Quick visualization of a time-frequency representation
  tfrsave	Save the parameters of a time-frequency representation
  tfrview	Visualization of time-frequency representations

  Other
  disprog	Display the progression of a loop
  divider	Find dividers of an integer, closest from the square root of the integer
  dwindow	Derive a window
  integ	Approximate an integral
  integ2d	Approximate a 2-D integral
  izak	Inverse Zak transform
  kaytth	Computation of the Kay-Tretter filter
  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
  zak	Zak transform

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