Sharif Digital Repository

Recently, Random finite set theory has attracted researchers' interest in the field of multitarget tracking time varying number of targets. Its main drawback is it is not essentially formulated for nonthresholded measurements. This paper examines the problem of multitarget tracking with time varying number of targets dealing with raw and nonthresholded measurements. Recursive equations for updating the joint multi target state posterior density are approximated by a new enhanced particle filter that includes effective strategies to tackle the challenges of effective track initialization and deletion with limited resources, as well as doing the data association step implicitly. Simulations... 

A set of recursive equations are introduced for optimum design of a wide range of hierarchical truss beams to satisfy a minimum required natural frequency. The design equations are based on a general analytical solution, which are derived based on a critical dimensional analysis. A practical example is examined in both 2D and 3D spaces, which promises substantial mass reduction, as much as 99%, when using high order hierarchical truss beams. The results are verified by numerical evaluation of three case studies. The approach looks also very promising to design nanostructures when it comes to the problems associated with vibration