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Summary: IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS, PART B 1
LocalizationBased Sensor Validation Using The
KullbackLeibler Divergence
Parham Aarabi, Member, IEEE
Abstract--- A sensor validation criteria based on the sensor's
object localization accuracy is proposed. Assuming that the true
probability distribution of an object or event in space f(x)
is known and a spatial likelihood function (SLF) #(x) for
the same object or event in space is obtained from a sensor,
then the expected value of the SLF E[#(x)] is proposed as a
suitable validity metric for the sensor, where the expectation
is performed over the distribution f(x). It is shown that for
the class of increasing linear loglikelihood SLFs, the proposed
validity metric is equivalent to the KullbackLeibler distance
between f(x) and the unknown sensorbased distribution g(x)
where the SLF #(x) is an observable increasing function of the
unobservable g(x). The proposed technique is illustrated through
several simulated and experimental examples.
Index Terms--- Sensor validation, KullbackLeibler divergence,
object localization, sound localization.
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