part filt chapter finished, immpf nearly finished
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@@ -13,7 +13,7 @@ At first, new particles are drawn according to some importance distribution, tho
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%transition und evaluation einführen
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In practice the importance distribution is often represented by the state transition, modelling the dynamics of the system.
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A new weight is then obtained by the state evaluation given different sensor measurements.
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Most localisation approaches differ mainly in how the transition and evaluation steps are implemented and the available sensors are incorporated \cite{Nurminen13-PSI, Ebner-15, Hilsenbeck2014}.
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Most localisation approaches differ mainly in how the transition and evaluation steps are implemented and the available sensors are incorporated \cite{Nurminen13-PSI, Ebner2016OPN, Hilsenbeck2014}.
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However, as \cite{Li2014} already mentioned, particle filter (and nearly all of its modifications) continue to suffer from two notorious problems: sample degeneracy and impoverishment.
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As one can imagine, after a few iterations with continuously reweighting particles, the weight will concentrate on a few particles only.
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