several books describing the JPDA method exist in the litterature, based on the Bar-Shalom paper :
Fundamentals of Object Tracking, Cambridge University Press, 28 jul. 2011
Recently, its implementation using particle filtering was for example described to handle non-linearities of the measurement and/or state model(s) :
Vermaak, J.; Maskell, S.; Briers, M., "A unifying framework for multi-target tracking and existence," Information Fusion, 2005 8th International Conference on , vol.1, no., pp.9 pp.,, 25-28 July 2005
Conference Paper A unifying framework for multi-target tracking and existence
Article Fundamentals of Object Tracking (Challa, S.; 2011) [Book review]