One_Dimensional Tracking Methodolgy Using Shadowing Filter

This code is for tracking a moving object based on positional observations

This code is for tracking a moving object based on positional observations. It works for regular and irregular time resolution. The method based on the idea of Shadowing filter and Newton laws. It only use the noisy position information to minimise the observational error and estimate a filtered trajectory as well as reconstruct the corresponding acceleration. Refer to the following manuscripts for more details about the Method:
"Tracking a Single Pigeon Using Shadowing Filter Algorithm", Ayham Zaitouny et al.
"Optimal Shadowing Filter Tracking Methodology with Application to Chaotic Dynamics of Moving Objects", Ayham Zaitouny et al.