Closed-form least-squares source location estimation from range-difference measurements
作者： J. Smith , J. Abel
DOI: 10.1109/TASSP.1987.1165089
关键词: Equation error 、 Range (statistics) 、 Applied mathematics 、 Minification 、 Least squares 、 Maximum likelihood 、 Source location estimation 、 Set (abstract data type) 、 Mathematical optimization 、 Computer science 、 Bearing (navigation)
摘要: Three noniterative techniques are presented for localizing a single source given a set of noisy range-difference measurements. The localization formulas are derived from linear least-squares" equation error" minimization, and in one case the maximum likelihood bearing estimate is approached. Geometric interpretations of the equation error norms minimized by the three methods are given, and the statistical performances of the three methods are compared via computer simulation.
sci-hub.se 参考文章(14)
Van Etten, NAVIGATION SYSTEMS. FUNDAMENTALS OF LOW- AND VERY-LOW-FREQUENCY HYPERBOLIC TECHNIQUES Electrical Communication. ,vol. 45, ,(1970)
G. Carter, Special issue on time delay estimation Acoustics, Speech, and Signal Processing Newsletter, IEEE. ,vol. 49, pp. 12- 12 ,(1980)
G. Clifford Carter, Variance bounds for passively locating an acoustic source with a symmetric line array The Journal of the Acoustical Society of America. ,vol. 62, pp. 922- 926 ,(1977) , 10.1121/1.381623
Ralph O. Schmidt, A New Approach to Geometry of Range Difference Location IEEE Transactions on Aerospace and Electronic Systems. ,vol. 8, pp. 821- 835 ,(1972) , 10.1109/TAES.1972.309614
Benjamin Friedlander, On the Cramer- Rao bound for time delay and Doppler estimation (Corresp.) IEEE Transactions on Information Theory. ,vol. 30, pp. 575- 580 ,(1984) , 10.1109/TIT.1984.1056901
V. H. McDonald, P. M. Schultheiss, Optimum Passive Bearing Estimation Journal of the Acoustical Society of America. ,vol. 45, pp. 294- 294 ,(1969) , 10.1121/1.1970876
William Robert Hahn, Optimum signal processing for passive sonar range and bearing estimation The Journal of the Acoustical Society of America. ,vol. 58, pp. 201- 207 ,(1975) , 10.1121/1.380646
H. Schau, A. Robinson, Passive source localization employing intersecting spherical surfaces from time-of-arrival differences IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 35, pp. 1223- 1225 ,(1987) , 10.1109/TASSP.1987.1165266
Verne H. MacDonald, Peter M. Schultheiss, Optimum Passive Bearing Estimation in a Spatially Incoherent Noise Environment The Journal of the Acoustical Society of America. ,vol. 46, pp. 37- 43 ,(1969) , 10.1121/1.1911659
M. Wax, T. Kailath, Optimum localization of multiple sources by passive arrays IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 31, pp. 1210- 1217 ,(1983) , 10.1109/TASSP.1983.1164183