Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements

Philipp Muller; Simo Ali-Löytty; Marzieh Dashti; Henri Nurminen; Robert Piche

doi:10.1109/WPNC.2012.6268741

Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements

Philipp Muller
, Simo Ali-Löytty
, Marzieh Dashti
, Henri Nurminen
, Robert Piche

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

11 Citations (Scopus)

45 Downloads (Pure)

Abstract

This paper proposes a novel Gaussian Mixture Filter (GMF) that allows components with negative weights. In case of a ring-shaped likelihood function, the new filter keeps the number of components low by approximating the likelihood as a Gaussian mixture (GM) of two components, one with positive and the other with negative weight. In this article, the filter is applied to positioning with received signal strength (RSS) based range measurements. The filter is tested using simulated measurements, and the tests indicate that the new GMF outperforms the Extended Kalman Filter (EKF) in both accuracy and consistency.

Translated title of the contribution	Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements
Original language	English
Title of host publication	Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	71-76
ISBN (Print)	978-1-4673-1437-4
DOIs	https://doi.org/10.1109/WPNC.2012.6268741
Publication status	Published - 2012
Publication type	A4 Article in conference proceedings

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Name	Workshop on Positioning, Navigation and Communication

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10.1109/WPNC.2012.6268741

Muller gaussian mixture filter allowing negative weights
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http://urn.fi/URN:NBN:fi:tty-201311061423

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Muller, P., Ali-Löytty, S., Dashti, M., Nurminen, H., & Piche, R. (2012). Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements. In Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany (pp. 71-76). (Workshop on Positioning, Navigation and Communication). IEEE. https://doi.org/10.1109/WPNC.2012.6268741

Muller, Philipp ; Ali-Löytty, Simo ; Dashti, Marzieh et al. / Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements. Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany. Piscataway, NJ : IEEE, 2012. pp. 71-76 (Workshop on Positioning, Navigation and Communication).

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title = "Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements",

abstract = "This paper proposes a novel Gaussian Mixture Filter (GMF) that allows components with negative weights. In case of a ring-shaped likelihood function, the new filter keeps the number of components low by approximating the likelihood as a Gaussian mixture (GM) of two components, one with positive and the other with negative weight. In this article, the filter is applied to positioning with received signal strength (RSS) based range measurements. The filter is tested using simulated measurements, and the tests indicate that the new GMF outperforms the Extended Kalman Filter (EKF) in both accuracy and consistency.",

author = "Philipp Muller and Simo Ali-L{\"o}ytty and Marzieh Dashti and Henri Nurminen and Robert Piche",

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Muller, P , Ali-Löytty, S, Dashti, M, Nurminen, H & Piche, R 2012, Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements. in Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany. Workshop on Positioning, Navigation and Communication, IEEE, Piscataway, NJ, pp. 71-76. https://doi.org/10.1109/WPNC.2012.6268741

Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements. / Muller, Philipp ; Ali-Löytty, Simo; Dashti, Marzieh et al.
Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany. Piscataway, NJ: IEEE, 2012. p. 71-76 (Workshop on Positioning, Navigation and Communication).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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AU - Piche, Robert

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AB - This paper proposes a novel Gaussian Mixture Filter (GMF) that allows components with negative weights. In case of a ring-shaped likelihood function, the new filter keeps the number of components low by approximating the likelihood as a Gaussian mixture (GM) of two components, one with positive and the other with negative weight. In this article, the filter is applied to positioning with received signal strength (RSS) based range measurements. The filter is tested using simulated measurements, and the tests indicate that the new GMF outperforms the Extended Kalman Filter (EKF) in both accuracy and consistency.

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Muller P , Ali-Löytty S, Dashti M, Nurminen H, Piche R. Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements. In Proceedings of WPNC 2012, 9th Workshop on Positioning, Navigation and Communication, March 15-16, 2012, Dresden, Germany. Piscataway, NJ: IEEE. 2012. p. 71-76. (Workshop on Positioning, Navigation and Communication). doi: 10.1109/WPNC.2012.6268741

Gaussian mixture filter allowing negative weights and its application to positioning using signal strength measurements

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