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Tools for fractal analysis

  • AtanH Arctangent variation
  • FWT 1D Forward Discrete Wavelet Transform
  • FWT2D 2D Forward Disrete Wavelet Transform
  • GeneWei Generalized Weierstrass function
  • IWT 1D Inverse Discrete Wavelet Transform
  • IWT2D 2D Inverse Disrete Wavelet Transform
  • Koutrouvelis Stable Law parameters estimation (Koutrouvelis method)
  • McCulloch Stable law parameters estimation (McCulloch method)
  • WT2DStruct Retrieve the Structure of a 2D DWT
  • WT2DVisu Visualise a 2D Multiresolution
  • WT2Dext Extract a Projection from a 2D WT
  • WTMultires Construct a 1D Multiresolution Representation
  • WTStruct Retrieve a 1D Discrete Wavelet Structure.
  • alphagifs Holder function estimation using IFS
  • bbch beneath-beyond concave hull
  • binom binomial measure synthesis
  • contwt Continuous L2 wavelet transform
  • contwtmir Continuous L2 wavelet transform with mirroring
  • contwtspec Continuous L2 wavelet based Legendre spectrum
  • cwt Continuous Wavelet Transform
  • cwtspec Continuous L1 wavelet based Legendre spectrum
  • cwttrack Continuous L2 wavelet based Holder exponent estimation
  • cwttrack_all Continuous L2 wavelet based Holder function estimation
  • dilate Dilation of a signal
  • dimR2d Regularization dimension of the surface of a 2d function
  • dmt Discrete Mellin transform of a vector
  • dwtspec Discrete wavelet based Legendre spectrum
  • fbmfwt Discrete wavelet based synthesis of a fBm
  • fbmlevinson Levinson synthesis of a fractional Brownian motion
  • fft1d Operates a column-wise direct or inverse FFT
  • findWTLM Finds local maxima lines of a CWT
  • flt Fast Legendre transform
  • gauss Gaussian window
  • gifs2wave wavelet coefficients from new GIFS coefficients
  • gifseg Replaces nodes of the diadic tree by a ceratin unique value.
  • holder2d holder exponents of a measures defined on 2D real signal
  • icontwt Inverse Continuous L2 wavelet transform
  • idmt Inverse Discrete Mellin transform
  • integ Approximate 1-D integral
  • isempty Checks if a matrix is empty
  • lambdak k's lambda functions for pseudoAW
  • lepskiiap lepskii adaptive procedure
  • linearlt linear time legendre transform
  • mbmlevinson Levinson synthesis of a multifractional Brownian motion
  • mcfg1d Continuous large deviation spectrum estimation on 1d measure
  • mdfl1d Discrete Legendre spectrum estimation on 1d measure
  • mdfl2d Discrete Legendre spectrum estimation on 2d measure
  • mdznq1d Discrete partition function estimation on 1d measure
  • mdznq2d Discrete partition function estimation on 2d measure
  • mexhat Mexican hat wavelet
  • monolr monovariate linear regression
  • morlet Morlet wavelet
  • mtlb_diff Difference and approximate derivative
  • mtlb_fftshift Move zeroth lag to center of spectrum
  • mtlb_fliplr Flip matrix in left/right direction
  • mtlb_flipud Flip matrix in up/down direction
  • mtlb_hilbert Hilbert transform of a signal
  • mtlb_isreal Check is an rarry is real
  • mtlb_log2 Base 2 logarithm.
  • mtlb_mean rithmetic mean.
  • mtlb_rem Remainder after division
  • multim1d multinomial 1d measure synthesis
  • multim2d multinomial 2d measure synthesis
  • nextpowQ Rounds a number to the up-nearest power of an integer
  • oscillsing Oscillating Singularity synthesis
  • prescrib Generation of signals with prescribed Holder function
  • pseudoAW Pseudo affine Wigner distribution
  • regdim Estimate the regularization dimension of a 1d or 2d sample.
  • reynitq Reyni exponents estimation
  • sbinom stochastic binomial measure synthesis
  • sgifs Semi Generalized IFS generation
  • sim_stable Generation of stable random processes
  • smultim1d multinomial 1d measure synthesis -
  • smultim2d multinomial 2d measure synthesis -
  • sortup Sorts the elements of an array in increasing order
  • stable_cov Covariation of two jointly symmetric Alpha-Stable random variables
  • stable_sm Spectral measure of a bivariate Stable random vector
  • stable_test stable law conformicy test
  • strfbm Structure Function of a Brownian Field
  • symcori Symmetrization of a periodic 2D correlation field
  • synth2 Stationary Increments 2D Process
  • viewWTLM Vizualises the local maxima lines of a CWT
  • viewmat Vizualisation of a matrix
  • wave2gifs Computation of IFS coef. with Discrete Wavelet coefficients