Track fitting by Kalman Filter method for a prototype cosmic ray muon detector

We have developed a track fitting procedure based on Kalman Filter technique for an Iron Calorimeter (ICAL) prototype detector when the detector is flushed with single muon tracks. The relevant track parameters i.e., momentum, direction and charge are reconstructed and analyzed. This paper discusses the design of the prototype detector, its geometry simulation by Geant4, and the detector response with the cosmic ray muons. Finally we show the resolution of reconstructed momenta and also the charge identification efficiency of $\mu^+$ and $\mu^-$ events in the magnetized ICAL.