Voronoi cells, probabilistic bounds, and hypothesis testing in mixed integer linear models

Xu, Peiliang

doi:10.1109/tit.2006.876356

Cited by 53 publications

(2 citation statements)

References 56 publications

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“…Moreover, for more accurate RPCs, a model named error-invariables has been adopted in surveying. In the EIV model, the coefficients matrix G as a set of observed variables is usually regarded as a matrix with random errors (Lemmerling et al, 2001;Mahboub, 2012;Peiliang, 2006;Schaffrin et al, 2009, Shi et al, 2014Xu et al, 2012). However, the constant term has been added by random error (i.e., δ i,1 (i=1,2,…,n)) mistakenly like Equation 9, which caused the overcorrection problem.…”

Section: Conventional Methods Of Rfm Parameters Optimizationmentioning

confidence: 99%

A Stepwise-then-Orthogonal Regression (STOR) with quality control for Optimizing the RFM of High-Resolution Satellite Imagery

Li¹,

Liu²,

Zhang³

et al. 2017

photogramm eng remote sensing

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Section: Conventional Methods Of Rfm Parameters Optimizationmentioning

confidence: 99%

A Stepwise-then-Orthogonal Regression (STOR) with quality control for Optimizing the RFM of High-Resolution Satellite Imagery

Li¹,

Liu²,

Zhang³

et al. 2017

photogramm eng remote sensing

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show abstract

“…Usually, they were tested in static positioning or in kinematic positioning with short baselines. Xu (2006) presents another approach on ambiguity resolution, based on Voronoi Cells.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Instantaneous Carrier Phase Ambiguity Resolution with the GPS/Galileo Combination using the General Ambiguity Search Criterion

Morujão¹,

Mendes²

2008

J. of GPS

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The success of high-precision Global Navigation Satellite Systems (GNSS) kinematic positioning depends partly on the ability to resolve the integer phase ambiguities. In this paper, we propose a new algorithm for instantaneous kinematic ambiguity resolution, for present and modernised GPS and for GALILEO. This approach-the GEneral Criterion Cascading Ambiguity Resolution (GECCAR)-selects the integer set of ambiguities using the General Ambiguity Search Criterion (GASC). Simulation runs have shown that single-epoch L1/E1 frequency ambiguity resolution was possible 99% of the considered epochs, when the three frequencies from both systems were used together. This new approach shows an improvement in the selection of the correct set of ambiguities when compared with the selection made by the Integer Least Squares Criterion (ILSC). We conclude that the GECCAR approach is a very promising algorithm for instantaneous ambiguity resolution.

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Determination method of optimal number of clusters for clustered wireless sensor networks

Martins

Shen

2012

Wireless Communications

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In this paper, we present an analytical model for determining the optimal number of clusters, with the objective of minimizing the communication costs in a clustered wireless sensor network (WSN). Sensor nodes are located randomly and distributed according to a homogeneous two-dimensional Poisson point process. Overall communication costs in the network are calculated analytically based on a practical energy consumption model at node level. The optimal probability of being a cluster head (CH) for each node is deduced by minimizing a cost function taking into account the energy dissipation of nodes. The scenarios with single-hop and multi-hop clustered networks are investigated. Simulation results show the existence of the optimum number of clusters which improves the energy efficiency of clustering schemes. We also verify by simulations that the analytical optimal probability of being a CH can provide a good approximation of the actual optimum probability, regardless of the different densities of nodes in the network.

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Voronoi cells, probabilistic bounds, and hypothesis testing in mixed integer linear models

Cited by 53 publications

References 56 publications

A Stepwise-then-Orthogonal Regression (STOR) with quality control for Optimizing the RFM of High-Resolution Satellite Imagery

A Stepwise-then-Orthogonal Regression (STOR) with quality control for Optimizing the RFM of High-Resolution Satellite Imagery

Investigation of Instantaneous Carrier Phase Ambiguity Resolution with the GPS/Galileo Combination using the General Ambiguity Search Criterion

Determination method of optimal number of clusters for clustered wireless sensor networks

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