Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Tracking of Multiple Moving Sources Using Recursive EM Algorithm | EURASIP Journal on Applied Signal Processing 2005 1 50-60 2005 Hindawi Publishing Corporation Tracking of Multiple Moving Sources Using Recursive EM Algorithm Pei-Jung Chung Department of Electrical Engineering and Computer Science University of Michigan Ann Arbor MI 48109-2122 USA Email peijungjchung@ Johann F. Bohme Signal Theory Group Department of Electrical Engineering and Information Science Ruhr-University of Bochum 44780 Bochum Germany Email boehme@ Alfred O. Hero Department of Electrical Engineering and Computer Science University of Michigan Ann Arbor MI 48109-2122 USA Email hero@ Received31 December 2003 Revised 17June2004 We deal with recursive direction-of-arrival DOA estimation of multiple moving sources. Based on the recursive EM algorithm we develop two recursive procedures to estimate the time-varying DOA parameter for narrowband signals. The first procedure requires no prior knowledge about the source movement. The second procedure assumes that the motion of moving sources is described by a linear polynomial model. The proposed recursion updates the polynomial coefficients when a new data arrives. The suggested approaches have two major advantages simple implementation and easy extension to wideband signals. Numerical experiments show that both procedures provide excellent results in a slowly changing environment. When the DOA parameter changes fast or two source directions cross with each other the procedure designed for a linear polynomial model has a better performance than the general procedure. Compared to the beamforming technique based on the same parameterization our approach is computationally favorable and has a wider range of applications. Keywords and phrases sensor array processing recursive estimation moving sources tracking. 1. INTRODUCTION The problem of estimating the direction of arrival DOA of plane waves impinging on a sensor array is of fundamental importance in many applications .
