Adjustment Model and Colored Noise Compensation of Continuous Observation System

doi:10.11947/j.JGGS.2018.0105

Journal of Geodesy and Geoinformation Science ›› 2018, Vol. 1 ›› Issue (1): 39-45.doi: 10.11947/j.JGGS.2018.0105

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Adjustment Model and Colored Noise Compensation of Continuous Observation System

Shuqiang XUE^1,²,Yuanxi YANG³

1. School of Geological and Surveying Engineering,Chang’an University,Xi’an 710054,China
2. Chinese Academy of Surveying and Mapping,Beijing 100830,China
3. National Key Laboratory of Geo?spatial Information,Xi’an Research Institute of Surveying and Mapping,Xi’an 710054,China

Received:2017-06-08 Accepted:2018-06-07 Online:2018-12-20 Published:2019-11-20
About author:Shuqiang XUE(1980—),male,PhD candidate,majors in error theory and adjustment. E-mail: xuesq@casm.ac.cn
Supported by:
National Science Foundation of China(41020144004);National Science Foundation of China(41104018);National High-tech R&D Program(2009AA121405);National High-tech R&D Program(2012BAB16B01)

Abstract

Abstract:

The affection caused by the colored noises should be taken into account to the adjustment model.As useful signals,these colored noises should be accurately identified and extracted by Fourier analysis.A continuous adjustment model is introduced with respect to the colored noises,and then it can be generalized from the finite space to the infinite space so called as Hilbert space.This extension is to provide a new technique to perform the continuous observational system design,Fourier analysis as well as the parameter estimation.It shows that the Gramer’s determinant provides maximization criteria in the system optimization design as well as a rule in diagnosing the adjustment model.Related with the definition of the integral,the least squares solution of the continuous adjustment model becomes the limit of the traditional least squares solution in finite space.Moreover,the influence caused by the colored noises is systematic,but it can be eliminated or compensated by optimally designing the observational system.

Key words: adjustment; continuous observation; least squares; colored noise; Hilbert space

Shuqiang XUE,Yuanxi YANG. Adjustment Model and Colored Noise Compensation of Continuous Observation System[J]. Journal of Geodesy and Geoinformation Science, 2018, 1(1): 39-45.

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Adjustment Model and Colored Noise Compensation of Continuous Observation System

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