Publications related to Wavelet and footprint sampling of signals with a finite rate of innovation

Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

High frequency wind time series measured at different heights from the ground (from 1.5 to 25.5 meters) in an urban area were investigated by using the variance of the coefficients of their wavelet transform. Two ranges of scales were identified, sensitive ...

2019

Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

Dasaraden Mauree, Fabian Guignard

High frequency wind time series measured at different heights from the ground (from 1.5 to 25.5 meters) in an urban area were investigated by using the variance of the coefficients of their wavelet transform. Two ranges of scales were identified, sensitive ...

2018

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

Cycle spinning is a widely used approach for improving the performance of wavelet-based methods that solve linear inverse problems. Extensive numerical experiments have shown that it significantly improves the quality of the recovered signal without increa ...

Ieee-Inst Electrical Electronics Engineers Inc2014

A wavelet analysis for the X-ray absorption spectra of molecules

Majed Chergui, Ursula Röthlisberger, Ivano Tavernelli, Thomas James Penfold, Amal El Nahhas, Marco Eli Reinhard

We present a Wavelet transform analysis for the X-ray absorption spectra of molecules. In contrast to the traditionally used Fourier transform approach, this analysis yields a 2D correlation plot in both R- and k-space. As a consequence, it is possible to ...

American Institute of Physics2013

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Jan Skaloud, Adrian Wägli, Heidi Fournier

The main objective of this research is in automating the initialization phase of the MEMS-IMZ/GPS data integration. The motivation for this study is the special case where the before mentioned sensors are worn on a body (e.g. of an athlete) and where the u ...

2009

Multiresolution 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 Engineers2009

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Mario Paolone

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 ...

2008

Continuous Wavelet Transform on the Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

In this paper we build a Continuous Wavelet Transform (CWT) on the upper sheet of the 2-hyperboloid

H_+^2

. First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO ...

2007

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Sai Siva Gorthi

The increasing use of 3D modeling of Human Face in Face Recognition systems, User Interfaces, Graphics , Gaming and the like has made it an area of active study. Majority of the 3D sensors rely on color coded light projection for 3D estimation. Such system ...

2007

Wavelet and footprint sampling of signals with a finite rate of innovation

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Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

A wavelet analysis for the X-ray absorption spectra of molecules

Optimally Localized Wavelets and Smoothing Kernels

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Continuous Wavelet Transform on the Hyperboloid

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Optimally Localized Wavelets and Smoothing Kernels

Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

Wavelet variance scale-dependence as a dynamics discriminating tool in high-frequency urban wind speed time series

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

A wavelet analysis for the X-ray absorption spectra of molecules

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Continuous Wavelet Transform on the Hyperboloid

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach