Publication
The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration
Related publications (101)
Analytical Footprints: Compact Representation of Elementary Singularities in Wavelet Bases
Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu
We introduce a family of elementary singularities that are point-Holder alpha-regular. These singularities are self-similar and are the Green functions of fractional derivative operators; i.e., by suitable fractional differentiation, one retrieves a Dirac ...
Institute of Electrical and Electronics Engineers2010Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform
Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage
The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...
Institute of Electrical and Electronics Engineers2009Automated Processing of GPS/MEMS-IMU Data for Position, Velocity and Attitude Determination
This master thesis deals with the problematic of the integration of Global Positioning System (GPS) measurements with inertial data acquired by a Micro-Electro-Mechanical System (MEMS) Inertial Measurement Units (IMU). This technology is employed for the p ...
2009Integrated Use of Time-Frequency Wavelet Decompositions for Fault Location in Distribution Networks: Theory and Experimental Validation
The paper presents a procedure for fault location in distribution networks, based on the use of the integrated time-frequency wavelet decompositions of the voltage transients associated with the fault-originated travelling waves. The proposed analysis of t ...
2009Studying the Formation of Ni3C from CO and Metallic Ni at T=265 degrees C in Situ Using Ni K-Edge X-ray Absorption Spectroscopy
Christian Ludwig, Rudolf Paul Wilhelm Jozef Struis, Alexander Wokaun
Metallic Ni nanopowder (Ni-0) was monitored during 23 h of carburization (2CO + 3Ni(0) - Ni3C + CO2, T = 265 degrees C) using Ni K-edge X-ray absorption spectroscopy. X-ray diffraction analysis made afterward at room temperature revealed 28 +/- 3% Ni3C amo ...
American Chemical Society2009Self-Similar Random Vector Fields and Their Wavelet Analysis
Michaël Unser, Pouya Dehghani Tafti
This paper is concerned with the mathematical characterization and wavelet analysis of self-similar random vector fields. The study consists of two main parts: the construction of random vector models on the basis of their invariance under coordinate trans ...
SPIE2009Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species
We demonstrate a small device with a microfluidic channel and an integrated waveguide that functions a compact rudimentary tool for the detection, real-time monitoring, and potentially classification of algae. In order to reduce parasitic noise the micro-d ...
2009Multi-Lead Wavelet-Based ECG Delineation on a Wearable Embedded Sensor Platform
David Atienza Alonso, Francisco Javier Rincon Vallejos, Nadia Khaled, Nicolas Boichat
This work is dedicated to the sensible optimization and porting of a multi-lead (ML) wavelet-transform (WT)-based electrocardiogram (ECG) wave delineator to a state-of-the-art commercial wearable embedded sensor platform with limited processing and storage ...
2009Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients
The paper presents a fault location procedure for distribution networks based on the wavelet analysis of the fault-generated traveling waves. In particular, the proposed procedure implements the continuous wavelet analysis applied to the voltage waveforms ...
2008The Monogenic Riesz-Laplace Wavelet Transform
Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac
We introduce a family of real and complex wavelet bases of ) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...
EURASIP2008