Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Heuristic Reference Recursive Recipe for the Menacing Problem of
  Adaptively Tuning the Kalman Filter Statistics. Part-2. Real Data Studies   In the previous paper an adaptive filtering based on a reference recursive
recipe was developed and tested on a simulated dynamics of a spring, mass, and
damper with a weak nonlinear spring. In this paper the above recipe is applied
to a more involved case of three sets of airplane data which have a larger
number of state, measurements, and unknown parameters. Further the flight tests
cannot always be conducted in an ideal situation of the process noise and the
measurement noises being white and Gaussian as is generally assumed in the
Kalman filter. The measurements are not available in general with respect to
the center of gravity, possess scale and bias factors which will have to be
modelled and estimated as well. The coupling between the longitudinal and
lateral motion brings in added difficulty but makes the problem more
interesting. At times the noisy measurements from the longitudinal and lateral
motion are input into the longitudinal states. This leads to the resulting
equations becoming linear with the measurement noise forming the process noise
input. At times it turns out that even a parameter that strongly affects the
airplane dynamics is estimated which vary widely among the approaches. This
requires a careful look at the estimates. We also recommend a closer look at
the correlation coefficients (that is generally ignored in such studies) of the
estimated parameters which provide an insight into their subsequent uses. The
present recipe has been shown to be better than the earlier approaches in
estimating the unknowns. In particular the generalized cost functions that are
introduced in the present work help to identify definitive results from
deceptive results.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex