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JamesH83
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Joined: June 25th, 2003, 11:38 pm

Kalman Filter

December 15th, 2005, 3:45 pm

Does the Kalman filter assume Gaussian disturbances?
 
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N
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Kalman Filter

December 15th, 2005, 3:46 pm

You bet it does.
 
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crowlogic
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Kalman Filter

December 15th, 2005, 8:35 pm

For non-gaussian problems you can use a particle filter with the unscented kalman filter or the central-difference kalman filter. Neither of which require derivatives to be calculated.QuoteOriginally posted by: NYou bet it does.
 
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KackToodles
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Kalman Filter

December 15th, 2005, 9:16 pm

unscented?
Last edited by KackToodles on December 16th, 2005, 11:00 pm, edited 1 time in total.
 
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JamesH83
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Joined: June 25th, 2003, 11:38 pm

Kalman Filter

December 16th, 2005, 11:06 am

This is what I thought because only second moments are used in updating.Could you tell me the source of the assumption?Is it because in the derivation, the loss function is defined as quadratic?
 
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Cuchulainn
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Kalman Filter

December 16th, 2005, 11:32 am

QuoteOriginally posted by: JamesH83This is what I thought because only second moments are used in updating.Could you tell me the source of the assumption?Is it because in the derivation, the loss function is defined as quadratic?In general, assumptions are the issue There are many answers.
 
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N
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Kalman Filter

December 16th, 2005, 6:10 pm

Ocksendal did a good derivation of the Kalman filter in his first book. He assumes Wiener noise, of course.
 
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reza
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Kalman Filter

December 16th, 2005, 6:31 pm

or alternatively there are a couple of different derivations in ...
 
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KackToodles
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Kalman Filter

December 17th, 2005, 8:26 am

why don't they just a simpler distribution, like a discrete binary one, to explain how it works in simple terms?