Title :
High Resolution Vector-Sensor Array Processing Based on Biquaternions
Author :
Miron, Sebastian ; Le Bihan, Nicolas ; Mars, Jérôme I.
Author_Institution :
Lab. des Images et des Signaux, CNRS, St. Martin d´´Heres
Abstract :
This paper presents a version of MUSIC algorithm for linear vector-sensor arrays based on a complexified quaternionic (biquaternionic) modelization of the output three-components vector-signals. A way of computing the eigenvalue decomposition of a biquaternion valued matrix is introduced and the subspace decomposition of the biquaternionic spectral matrix of the observations is used to define the biquaternionic MUSIC estimator (BQ-MUSIC). Performances of the BQ-MUSIC are compared with classical long-vector technique
Keywords :
array signal processing; eigenvalues and eigenfunctions; matrix decomposition; MUSIC algorithm; biquaternion valued matrix; biquaternionic MUSIC estimator; biquaternionic spectral matrix; complexified quaternionic modelization; eigenvalue decomposition; high resolution vector-sensor array processing; linear vector-sensor arrays; long-vector technique; output three-components vector-signals; subspace decomposition; Array signal processing; Eigenvalues and eigenfunctions; Electromagnetic wave polarization; Mars; Matrix decomposition; Multiple signal classification; Quaternions; Seismology; Signal processing; Vectors;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1661159
