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Data Analysis: Truth Model

Data Analysis: Truth Model. Badr, M. Heifetz, V. Solomink ,. Why We Need Truth Model. Filter efficiency estimation based on the truth model. Filter properties are easier to be determined when the truth is known. Sensitivity to the filter-model mismatch.

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Data Analysis: Truth Model

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  1. Data Analysis: Truth Model Badr, M. Heifetz, V. Solomink, GP-B Data Analysis

  2. Why We Need Truth Model • Filter efficiency estimation based on the truth model. • Filter properties are easier to be determined when the truth is known. • Sensitivity to the filter-model mismatch. • Is the current model a sufficient representation of the real system? Are all parameters need to be determined? • Model Identification. • Model verification. (Tom) GP-B Data Analysis

  3. Relativity Estimate -state vector Telescope Data TFM Data Module Module Module Aberration Data Roll Phase Data Module Module Module h-Jacobian - Module IEKF/ SPT Module Truth Model Relativity Estimate uncertainty SQUID Data Module Residual Analysis - KACST Module Optimization Module-based Functional Block Diagram GP-B Data Analysis

  4. Relativity Estimate -state vector Telescope Data TFM Data Module Module Module Aberration Data Roll Phase Data Module Module Module Truth Model - SQUID Data Module Residual Analysis Truth Model Block Diagram SPT Noise + Bias GP-B Data Analysis

  5. SQUID Signal SQUID Readout Signal Model GP-B Data Analysis

  6. Gyroscope Motion: Torque Model TFM GP-B Data Analysis

  7. Generated Squid Signal * Actual -- Gen. (V) (V) (V) GP-B Data Analysis

  8. Generated vs. Actual Squid Actual and Generated Squid signal difference Actual and Generated Squid signal difference plus noise -Mean= 0.000706 +/- 0.007779 (V) (V) (V) 1/f generated noise (Tom) GP-B Data Analysis

  9. Result Generated Trajectory (NS) • Similar results were obtained for all four gyros. Generated Trajectory (EW) arcsec arcsec GP-B Data Analysis

  10. MATLAB Calls • S0= ZsquidTruth2go(‘initi’, X, iXc, iXg, GYROS); • Inputs: Assigned state vector, state index, and Gyro properties. • Outputs: Initial position (each segment), and stores the state vector. • [ SO, Z ]= ZsquidTruth2go(‘getZ’, ‘GSV / GSI’, S0, tSpan, …. GYROS); • Inputs: Initial position, time, and case. • Output: last trajectory, and Z{gyro#}= [t, Hnom, H, S]; • It calls existing functions: any changes can be easily updated. The truth model is integrated in the 2 sec. Filter. GP-B Data Analysis

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