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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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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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Weighted total least squares RAIM algorithm using carrier phase measurements
2012 6th ESA Workshop on Satellite Navigation Technologies (Navitec 2012) & European Workshop on GNSS Signals and Signal Processing, 2012This paper proposes a weighted total least squares approach based on both pseudorange and carrier phase measurements. The paper makes use of the weighted total least squares solution to solve the global positioning system (GPS) navigation equation determining the user position.
Filipe Salgueiro +3 more
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Total least squares linear prediction for frequency estimation with frequency weighting
1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002This paper presents a general total least squares (GTLS) solution for linear prediction to estimate closely spaced sinusoids. It is found that the TLS prediction error is not a good criterion to provide a robust solution. In this paper, a frequency weighted prediction error approach is introduced.
null Shu Hung Leung +2 more
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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.
null Shu Hung Leung +2 more
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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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Weighted and structured sparse total least-squares for perturbed compressive sampling
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011Solving linear regression problems based on the total least-squares (TLS) criterion has well-documented merits in various applications, where perturbations appear both in the data vector as well as in the regression matrix. Weighted and structured generalizations of the TLS approach are further motivated in several signal processing and system ...
Hao Zhu +2 more
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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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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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Jackknife resample method for precision estimation of weighted total least squares
Communications in Statistics - Simulation and Computation, 2019Few studies have been conducted on the precision estimation of weighted total least squares (WTLS) by using the approximate function probability distribution method.
Leyang Wang, Fengbin Yu
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