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2013 | OriginalPaper | Buchkapitel

47. TSVD Regularization with Ill-Conditioning Diagnosis in GNSS Multipath Estimation

verfasst von : Qingming Gui, Ke Chen, Yongwei Gu

Erschienen in: Proceedings of 2013 Chinese Intelligent Automation Conference

Verlag: Springer Berlin Heidelberg

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Abstract

Multipath is one of the main error sources of the differential applications of global positioning systems (GPS). The maximum likelihood estimation of multipath is simplified with grid method using the idea of deploying estimation points. There is ill-conditioning in the simplified model, decreasing the numerical stability of the maximum likelihood estimation grid maximum likelihood estimation in some conditions. The truncated singular value decomposition (TSVD) regularization with ill-conditioning diagnosis is introduced to mitigate the effects of ill-conditioning. The truncation level is selected based on ill-conditioning diagnosis by comparing the values of the diagnosis statistics of the estimation under different truncation level. TSVD regulation with the truncation level selected in ill-conditioning diagnosis approach can resist the ill-conditioning effectively and the estimation is numerical stable. The multipath effect can be effectively mitigated by the method proposed in this paper.

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Metadaten
Titel
TSVD Regularization with Ill-Conditioning Diagnosis in GNSS Multipath Estimation
verfasst von
Qingming Gui
Ke Chen
Yongwei Gu
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-38460-8_47

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