Contributions of Mathematical Transformations to the Error Behavior of Rawinsonde Measurements.
Research and development technical rept.,
ARMY ELECTRONICS COMMAND WHITE SANDS MISSILE RANGE N MEX ATMOSPHERIC SCIENCES LAB
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The effect of mathematical transformations on the error behavior of rawinsonde measurements is investigated by first considering range, azimuth, and height as supplied by the system as a continuous joint stochastic process of known mean and variance-covariance matrices. The transformation to a given rectangular cartesian coordinate system then gives rise in an obvious manner to a second joint stochastic process. The mean and variance-covariance matrices of this new process are approximated by matrices whose components are functions of the various components of the mean and variance-covariance matrices of the original process. The error behavior due to the mathematical transformation is defined as the behavior in time and space as described by the latter matrices. Author