NDLI: Crossing-tree partition functions

Content Provider	IEEE Xplore Digital Library
Author	Decrouez, G. Amblard, P.-O.
Copyright Year	2015
Description	Author affiliation: Higher Sch. of Econ., Nat. Res. Univ., Moscow, Russia (Decrouez, G.) \|\| GIPSAlab, Univ. de Grenoble, Grenoble, France (Amblard, P.-O.)
Abstract	A new multifractal formalism based on the crossing-tree for H-sssi processes was recently introduced [1, 2]. The crossing-tree performs an ad-hoc decomposition of a signal based on its fluctuations, and thus represents a natural tool for the multifractal analysis of time series. The estimation of the Hausdorff spectrum happens in the context of a multifractal formalism, where the spectrum is obtained from a transform of a partition function. In this contribution, we introduce a new crossing-tree partition function, which differs from the original one presented in [2]. We show numerically that the new partition function improves the stability of the estimation in many cases, compared with the original crossing-tree partition function. Estimation is further compared with state-of-the-art techniques, including wavelet and wavelet leaders.
Starting Page	1008
Ending Page	1012
File Size	248470
Page Count	5
File Format	PDF
ISBN	9780992862633
ISSN	20761465
DOI	10.1109/EUSIPCO.2015.7362535
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-08-31
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	EURASIP
Subject Keyword	Wavelet transforms Wavelets H-sssi processes Estimation Europe Multi-fractal formalism Signal processing Wavelet analysis Fractals Yttrium Crossing tree Adaptative decomposition
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Analysis of H-sssi processes using the crossing tree: An alternative to wavelets

Dual-tree wavelets for estimation of locally varying and anisotropic fractal dimension

Fractal Dimension Estimation: Empirical Mode Decomposition Versuswavelets

Wavelet-based fractal analysis of the epileptic EEG signal

Acoustic Partial Discharge signal analysis using digital signal processing techniques

Regularised, semi-local hurst estimation via generalised lasso and dual-tree complex wavelets

Wavelet-Based Multi-Fractal Spectrum for Machine Defect Identification

Fractal Segmentation Using Multiresolution B-spline Wavelets

Sparse Representation with Harmonic Wavelets

Crossing-tree partition functions

Similar Documents

Analysis of H-sssi processes using the crossing tree: An alternative to wavelets

Dual-tree wavelets for estimation of locally varying and anisotropic fractal dimension

Fractal Dimension Estimation: Empirical Mode Decomposition Versuswavelets

Wavelet-based fractal analysis of the epileptic EEG signal

Acoustic Partial Discharge signal analysis using digital signal processing techniques

Regularised, semi-local hurst estimation via generalised lasso and dual-tree complex wavelets

Wavelet-Based Multi-Fractal Spectrum for Machine Defect Identification

Fractal Segmentation Using Multiresolution B-spline Wavelets

Sparse Representation with Harmonic Wavelets

Crossing-tree partition functions