Title
Quaternion subspace method for vector-sensor wave separation
Abstract
In this paper, we propose a new approach for vector-sensor signal modeling and processing. We introduce the way quaternions allows to characterize signals collected on vector-sensor array. In physics or geophysics, vector signals contain several informations, like waveform (or source wavelet) and polarization. In order to access to the physical informations carried by the different wave fields recorded, it is necessary to develop wave or source separation techniques. So, we give here the extension to the quaternion case of a widely used tool in signal processing: the Singular Value Decomposition. We expose the way it can be computed, and develop a quaternionic subspace method for polarized wave separation using this new tool based on quaternion matrix algebra. We finally show on synthetic data the potentiality of this new quaternionic signal processing technique.
Year
Venue
Keywords
2002
Toulouse
singular value decomposition,source separation,polarized wave separation,quaternion matrix algebra,quaternion subspace method,source wavelet,vector-sensor signal modeling,vector-sensor signal processing,vector-sensor wave separation
Field
DocType
ISSN
Signal processing,Computer vision,Singular value decomposition,Subspace topology,Quaternion,Waveform,Algorithm,Synthetic data,Artificial intelligence,Mathematics,Source separation,Wavelet
Conference
2219-5491
Citations 
PageRank 
References 
2
1.57
1
Authors
2
Name
Order
Citations
PageRank
Nicolas Le Bihan1205.28
J.I. Mars216114.94