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Status Report on Matrix Lookup Algorithm Development for Tracking at Fermilab (Sept 2001)

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This report outlines the progress and current status of the matrix lookup table (LUT) algorithm utilized in the tracking system at Fermilab, as presented by Wendy Taylor during the STT meeting on September 28, 2001. Key advancements include the development of inverse matrix LUTs and SMT coordinate conversion. Notable challenges include handling overflow issues in angle ranges, improving tracking efficiency, and implementing necessary updates to the LUT structure. Upcoming tasks focus on rescaling integer values and refining the integer fit algorithm to enhance overall performance.

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Status Report on Matrix Lookup Algorithm Development for Tracking at Fermilab (Sept 2001)

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  1. Track Fit Code Status Wendy Taylor STT Meeting Fermilab September 28, 2001

  2. Matrix Lookup Table Algorithm • 3 parameters (pi) • 2 CFT hits + 4(3) SMT hits (rj, j) • Use 160  slices (SuperRoads) where rjrlayer to limit number of matrices Mij

  3. CFT/SMT Coordinate LUTs • SMT LUT stores residual radius (precision, small LUT yields reference radius per layer) • Store  range per TFC (precision, small LUT provides reference  per TFC) : “slight” problem in that  range currently overflows 16 bits due to ladders extending beyond 37.5°

  4. Lookup Tables Status • 12 inverse matrix LUTs, with packed 16 bit integers, one for each TFC • 6 SMT coord-conv LUTs, one for each crate  change to 12, one for each TFC • CFT coord-conv LUTs cover whole detector, stored in DSP data memory • PT bin LUT stored in DSP memory converts curvature  to PT bin, for output

  5. Integer Fit Algorithm Status • C++ version converted to C for running on DSP - compiles and runs in TI Simulator • C++ wrapper provides bit-wise input information expected from FRC and STC and performs SMT coord conversion • C code compiles within tsim_l2stt, and runs: compare 59% tracking efficiency to nominal 67% - known problems remain

  6. Integer Fit Algorithm Tasks • Rescale the integer values to fix SMT LUT overflow problem and remove last 3 divisions from 2 calculation (flexibility) • Handle in wrapper code the case where the FRC track goes to 2 neighboring TFCs • Include beam spot correction and impact parameter significance computation • Update SMT LUT to handle 7-bit sequencer ID and break sextants into TFCs

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