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A robust weighted total least-squares solution with Lagrange multipliers
Survey Review, 2015Weighted total least-squares (WTLS) is becoming popular for parameter estimations in geodesy and surveying. However, it does not take into consideration the possible gross errors in observations, which may lead to a reduction in the robustness and reliability of parameter estimations. In order to solve this problem, in this study, Lagrange multipliers (
X. Gong, Z. Li
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Frequency weighted generalized total least squares linear prediction for frequency estimation
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002This paper presents a frequency weighted generalized total least squares linear prediction for estimating closely spaced sinusoids. In this method, the received data is first processed by a pole-zero prefilter and then a generalized total least squares linear prediction is applied to the prefiltered signal.
Shu Hung Leung +2 more
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Weighted total least squares solutions for applications in geodesy
2011[no abstract]
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Jackknife resampling parameter estimation method for weighted total least squares
Communications in Statistics - Theory and Methods, 2019To make the result of weighted total least squares (WTLS) parameter estimation more accurate, the Jackknife method is used to resample the observed data and make full use of Jackknife samples for m...
Leyang Wang, Fengbin Yu
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A robust weighted total least squares algorithm and its geodetic applications
Studia Geophysica et Geodaetica, 2015Total least squares (TLS) can solve the issue of parameter estimation in the errors-invariables (EIV) model, however, the estimated parameters are affected or even severely distorted when the observation vector and coefficient matrix are contaminated by gross errors.
Bin Wang, Jiancheng Li, Chao Liu
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Bias-Corrected Weighted Total Least-Squares Adjustment of Condition Equations
Journal of Surveying Engineering, 2015AbstractThe total least-squares (TLS) method and its variations have recently received increasing research attention. However, little attention has been given to the weighted TLS adjustment method with condition equations. In this paper, a weighted TLS method designed for condition equations (WTLSC) is presented with the assumption that both the ...
Xiaohua Tong +4 more
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Parameter-weighed performance in total least squares lterativ solutions
Mathematical Modelling of Systems, 1995The parameter-weighted square of the error matrix E is used as a basis for total least squares optimization, i.e., is utilized either instead of or in supplementation to it. the multiplicity of the solution and computational aspects are presented in concise form, in comparison to the conventional methods of total least sqrares, model least squares and ...
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IEEE Transactions on Instrumentation and Measurement, 1998
The aim of the present paper is to develop a parametric estimator for linear time-invariant multivariable systems with nearly maximum likelihood properties. The estimator is based on the total least squares (TLS) method. It can be seen as an "optimally" weighted iterative generalized total least squares (GTLS) estimator, combining the nice asymptotic ...
Patrick Guillaume +2 more
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The aim of the present paper is to develop a parametric estimator for linear time-invariant multivariable systems with nearly maximum likelihood properties. The estimator is based on the total least squares (TLS) method. It can be seen as an "optimally" weighted iterative generalized total least squares (GTLS) estimator, combining the nice asymptotic ...
Patrick Guillaume +2 more
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On non-combinatorial weighted total least squares with inequality constraints
Journal of Geodesy, 2014Observation systems known as errors-in-variables (EIV) models with model parameters estimated by total least squares (TLS) have been discussed for more than a century, though the terms EIV and TLS were coined much more recently. So far, it has only been shown that the inequality-constrained TLS (ICTLS) solution can be obtained by the combinatorial ...
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Recursive approximate weighted total least squares estimation of battery cell total capacity
Journal of Power Sources, 2011Abstract Battery cell total capacity refers to the total amount of charge that can be extracted from a fully charged cell. Knowledge of the present total capacity value is important to being able to calculate the maximum energy storage capability of a battery pack, the remaining energy in a battery pack, and as an indicator of the battery’s state of ...
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