1. LEPS Analysis Meeting Kalman Filter of TPCana Jia-Ye Chen 2007.12.22

2. LEPS Analysis Meeting Outline Kalman Filter of TPCana Criteria and cylindrical-coordinate framework 1 Monte Carlo Testing by single K + /K - in uniform B field. Real Data Study 1 Extended Kalman Filter, K. Fujii, The ACFA-Sim-J Group.

3. 2007.12.22 LEPS Analysis Meeting Kalman Filter Equation of Motion is (quasi-) linear. Many discrete points of measurements. The distance between adjacent measurement points is short.

4. 2007.12.22 LEPS Analysis Meeting Runge-Kutta vs Kalman Filter

5. 2007.12.22 LEPS Analysis Meeting Residual vs. Dip Angle

6. 2007.12.22 LEPS Analysis Meeting Residual vs. Momentum

7. 2007.12.22 LEPS Analysis Meeting Residual vs. Dip Angle & Mom.

8. 2007.12.22 LEPS Analysis Meeting Particle Identification NEW Energy Loss (W/O saturated pulse reconstruction ) Previous : hit ’ s central-pad peakADC Now : sum of (2 or 3) pads ’ peakADC belong to one hit, to reduce the ambiguity from different avalanche ranges.

9. 2007.12.22 LEPS Analysis Meeting PID Slice Mom. × Charge : 20 slices from -1.0 GeV/c to 1.0 GeV/c

10. 2007.12.22 LEPS Analysis Meeting Summary & Future Work Overall, 30% improvement in transverse residual, and 10% in longitudinal by utilizing Kalman Filter. To reduce the ambiguity between narrow and wider avalanche, sum of pads peakADC gives narrow PID band. Non-uniform B field of Kalman Filter χ 2 probability