An algebraic solution to the time difference of arrival equations Export

@proceedings{citeulike:3358512, abstract = {A closed form, algebraic solution to the time difference of arrival equations is presented. Prior derivations assumed that the receiving antennas are coplanar. Our derivation allows the receiving antennas to be located anywhere in three dimensional space. Previous techniques address the over-determined problem by considering a weighted average of the set of minimally determined solutions. Our technique employs the generalized inverse as a means of forming an optimal solution based on the geometry of the receiving sites. Our solution is additionally compared with a gradient search method to demonstrate its ability to avoid local minima. Finally, analysis is presented to demonstrate the effect of noisy measurements on the solution}, author = {Bard, J. D. and Ham, F. M. and Jones, W. L.}, booktitle = {Southeastcon '96. 'Bringing Together Education, Science and Technology'., Proceedings of the IEEE}, citeulike-article-id = {3358512}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/SECON.1996.510082}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=510082}, doi = {10.1109/SECON.1996.510082}, journal = {Southeastcon '96. 'Bringing Together Education, Science and Technology'., Proceedings of the IEEE}, keywords = {closed-form-approximations, geolocation, localization, source-localization, tdoa}, pages = {313--319}, posted-at = {2008-09-30 14:46:24}, priority = {2}, title = {An algebraic solution to the time difference of arrival equations}, url = {http://dx.doi.org/10.1109/SECON.1996.510082}, year = {1996} }

TY - CONF ID - citeulike:3358512 L3 - citeulike-article-id:3358512 N2 - A closed form, algebraic solution to the time difference of arrival equations is presented. Prior derivations assumed that the receiving antennas are coplanar. Our derivation allows the receiving antennas to be located anywhere in three dimensional space. Previous techniques address the over-determined problem by considering a weighted average of the set of minimally determined solutions. Our technique employs the generalized inverse as a means of forming an optimal solution based on the geometry of the receiving sites. Our solution is additionally compared with a gradient search method to demonstrate its ability to avoid local minima. Finally, analysis is presented to demonstrate the effect of noisy measurements on the solution JF - Southeastcon '96. 'Bringing Together Education, Science and Technology'., Proceedings of the IEEE EP - 319 TI - An algebraic solution to the time difference of arrival equations T2 - Southeastcon '96. 'Bringing Together Education, Science and Technology'., Proceedings of the IEEE SP - 313 KW - closed-form-approximations KW - geolocation KW - localization KW - source-localization KW - tdoa AU - Bard, JD AU - Ham, FM AU - Jones, WL PY - 1996/// UR - http://dx.doi.org/10.1109/SECON.1996.510082 ER -