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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Appendix I / Utilities<br />

_ _<br />

Constant x Vector Product<br />

Vector Addition<br />

Vector Cross Product<br />

Scalar Product<br />

Vector Image<br />

Vector Magnitudes<br />

Vector Spherical Magnitude<br />

Vector X-Y Magnitude<br />

Vector Y-Z Magnitude<br />

22.1.12 Covariance Extraction<br />

CMS group [ COVARS ]<br />

22.1-7<br />

Vector Negation<br />

Vector Subtraction<br />

Vector Triple Product<br />

Vector Zero<br />

Vector Summation<br />

Vector Extraction from a Matrix<br />

Vector Insertion<br />

Vector Extraction<br />

State observation analysis requires utilities for determining the uncertainty<br />

in parameters that are functions of the state, i.e. covariance extraction. The<br />

utilities provided determine the uncertainty in commonly used parameters<br />

that are a function of the state observer. They perform covariance<br />

transformation from one representation, or frame, to another; and provide<br />

performance metrics that are covariance data dependent.<br />

Quaternion to Euler angle Variance Transform<br />

Range Uncertainty<br />

Range Rate Uncertainty<br />

Yaw Angle Uncertainty<br />

Pitch Angle Uncertainty<br />

Velocity Vector Yaw Angle Uncertainty<br />

Velocity Vector Pitch Angle Uncertainty<br />

Yaw Rate Uncertainty<br />

Pitch Rate Uncertainty<br />

Differential Angle Uncertainty<br />

Differential Angular Rate Uncertainty<br />

Polar to Cartesian Covariance Conversion<br />

Covariance Matrix Main Diagonal Extraction<br />

Covariance Matrix Eigenvalue Metric<br />

Covariance Tracking Metric<br />

Mahalanobis Distance Metric<br />

Circular Error Probable (CEP) Metric

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