Automatic orthogonalization detection approach for GS algorithm
Tóm tắt
Gram-Schmidt orthogonalization algorithm is an interesting theme in the field of adaptive beam-forming and filtering as a fast algorithm. However, a key problem associated with this algorithm is that the number of orthogonalization, namely, the dimensions of interference subspace, is required to know prior. In this paper we derive a threshold and adopt it to detect the number of orthogonalization in the procedure of Gram-Schmidt (GS) orthogonalization decomposition, and this detection approach is simpler and faster than the approach based on eigenanalysis. Finally, computer simulation results were presented too.
Tài liệu tham khảo
E. K. L. Hung, R. M. Turner,IEEE Trans. on AES,AES-19 (1983), 598–606.
R. O. Schmidt, R. E. Frank,IEEE Trans. on ASSP,ASSP-34 (1986), 276–280.
A. J. Barabell, Improving the resolution performance of eigenstructure based direction finding algorithm, in Proc. Int. Conf. Acoustics, Speech, Signal Processing, Boston, MA, 1983.
Y. Bresler, A. Makovski,IEEE Trans. on ASSP,ASSP-34 (1985), 1081–1089.
Y. Bresler, A. Makovski,IEEE Trans. on ASSP,ASSP-34 (1985), 1081–1089.
M. Gavish, A. J. Weiss,IEEE Proc.-F,140 (1993) 2.
Ge. Lijia, Implementation of SVD and its spatial spectrum estimation algorithm for fast digital signal processor Master desertion, University of Electronic Science and Technology, Chengdu, China, 1991, (in Chinese).