No. 43 (00150) Family name : ZINCHENKO Given name : Alexander Affiliation : Joint Institute for Nuclear Research, Dubna, Moscow region, Russia Abbreviation : JINR E-mail address : Alexandre.Zintchenko@cern.ch Title : Development of the Kalman filter for tracking in the forward muon spectrometer of ALICE experiment Authors : G.Chabratova, V.Pismennaia, A.Vodopianov, A.Zinchenko Abstract : A simultaneous track finding / fitting procedure based on Kalman filtering approach has been developed for the forward muon spectrometer of ALICE experiment. Its performance was evaluated for Monte Carlo events of muon decays of heavy quarkonia produced in heavy ion collisions at LHC. In order to improve the method performance in high-background conditions the "canonical" Kalman filter has been modified and supplemented by a "smoother" part. It is shown that the resulting "extended" Kalman filter gives better tracking results and offers higher flexibility.