High resolution vector-sensor array processing using quaternions

The aim of this paper is to introduce a novel MUSIC-like algorithm for polarized sources characterization based on a quaternion model for two-component sensor-array signal. The associated data covariance matrix is described and a comparison with the classical long-vector approach is made. We show that the use of quaternions improves the signal subspace estimation accuracy and reduces the computational burden. Additionally, the proposed algorithm presents a better resolution power for direction of arrival (DOA) estimation than the long-vector approach, for equivalent statistical performances

[1]  Volker Mehrmann,et al.  A quaternion QR algorithm , 1989 .

[2]  J. P. Ward Quaternions and Cayley Numbers , 1997 .

[3]  Claude Irwin Palmer,et al.  Algebra and applications , 1918 .

[4]  Nicolas Le Bihan,et al.  Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing , 2004, Signal Process..

[5]  Anthony J. Weiss,et al.  Performance analysis of diversely polarized antenna arrays , 1991, IEEE Trans. Signal Process..

[6]  Anthony J. Weiss,et al.  Performance Analysis of Diversely Polarized Antenna , 1991 .

[7]  R. Compton,et al.  Angle and polarization estimation using ESPRIT with a polarization sensitive array , 1991 .

[8]  Stephen J. Sangwine,et al.  Hypercomplex auto- and cross-correlation of color images , 1999, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348).

[9]  Николай Николаевич Вахания,et al.  Случайные векторы со значениями в кватернионных гильбертовых пространствах@@@Random vectors with values in quaternion Hilbert spaces , 1998 .

[10]  Soo-Chang Pei,et al.  A novel block truncation coding of color images by using quaternion-moment-preserving principle , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[11]  Kainam T. Wong,et al.  Diversely polarized Root-MUSIC for azimuth-elevation angle-of-arrival estimation , 1996, IEEE Antennas and Propagation Society International Symposium. 1996 Digest.

[12]  Wasin So,et al.  On left eigenvalues of a quaternionic matrix , 2001 .