Name
Abstract | ||
|---|---|---|
In this paper, we use a biquaternion formalism to model vector-sensor signals carrying polarization information. This allows a concise and elegant way of handling signals with eight-dimensional (8-D) vector-valued samples. Using this model, we derive a biquaternionic version of the well-known array processing MUSIC algorithm, and we show its superiority to classically used long-vector approach. New results on biquaternion valued matrix spectral analysis are presented. Of particular interest for the biquaternion MUSIC (BQ-MUSIC) algorithm is the decomposition of the spectral matrix of the data into orthogonal subspaces. We propose an effective algorithm to compute such an orthogonal decomposition of the observation space via the eigenvalue decomposition (EVD) of a Hermitian biquaternionic matrix by means of a newly defined quantity, the quaternion adjoint matrix. The BQ-MUSIC estimator is derived and simulation results illustrate its performances compared with two other approaches in polarized antenna processing (LV-MUSIC and PSA-MUSIC). The proposed algorithm is shown to be superior in several aspects to the existing approaches. Compared with LV-MUSIC, the BQ-MUSIC algorithm is more robust to modelization errors and coherent noise while it can detect less sources. In comparaison with PSA-MUSIC, our approach exhibits more accurate estimation of direction of arrival (DOA) for a small number of sources, while keeping the polarization information accessible. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/TSP.2007.896067 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
vector-sensor array processing.,eigenvalue decomposition evd of biquaternionic matrices,polarization information,quaternion adjoint matrix,index terms—biquaternions and biquaternion-valued matrices,biquaternion music bq-music,proposed algorithm,effective algorithm,hermitian biquaternionic matrix,music algorithm,vector-sensors array,bq-music algorithm,matrix spectral analysis,spectral matrix,bq-music estimator,sensor array,direction of arrival,model error,eigenvalue decomposition,sampling methods,indexing terms,eigen value decomposition | Array processing,Mathematical optimization,Matrix (mathematics),Direction of arrival,Sensor array,Antenna array,Biquaternion,Eigendecomposition of a matrix,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 9 | 1053-587X |
Citations | PageRank | References |
40 | 1.64 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| N. Le Bihan | 1 | 165 | 10.16 |
| S. Miron | 2 | 40 | 1.64 |
| J.I. Mars | 3 | 161 | 14.94 |