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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

Data Analysis: Truth Model

Badr, M. Heifetz, V. Solomink,

GP-B Data Analysis


Why we need truth model
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


Module based functional block diagram

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


Truth model block diagram

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


Squid readout signal model

SQUID Signal

SQUID Readout Signal Model

GP-B Data Analysis


Gyroscope motion torque model
Gyroscope Motion: Torque Model

TFM

GP-B Data Analysis


Generated squid signal
Generated Squid Signal

* Actual

-- Gen.

(V)

(V)

(V)

GP-B Data Analysis


Generated vs actual squid
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


Result
Result

Generated Trajectory (NS)

  • Similar results were obtained for all four gyros.

Generated Trajectory (EW)

arcsec

arcsec

GP-B Data Analysis


Matlab calls
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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