Journal ArticleDOI
Inverse problems in measurement
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TLDR
In this article, the main methods of solving inverse problems are surveyed, and practical examples are given to show that different methods are effective in solving the inverse problem, as well as practical examples of different methods.About:
This article is published in Measurement.The article was published on 1987-01-01. It has received 6 citations till now. The article focuses on the topics: Value (mathematics) & Inverse problem.read more
Citations
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Proceedings ArticleDOI
A Group of Inverse Filters Based on Stabilized Solutions of Fredholm Integral Equations of the First Kind
TL;DR: Based on stabilized solutions of Fredholm integral equations of the first kind, the authors presents a group of inverse filters from which correcting dynamic characteristics of measurement systems can be selected or optimized to reduce dynamic errors.
Proceedings ArticleDOI
Inverse boundary value problems with uncertain boundary values and their relevance to inclinometer measurements
Paul O'Leary,Matthew Harker +1 more
TL;DR: The theoretical background for a new measurement system for the monitoring of possible road subsidence and its verification with experimental results are presented and a method of taking advantage of the properties of the over-constrained system to identify a defective sensor is presented.
Journal ArticleDOI
Correction of Signal Distortion Resulting from Measurement Systems Limitation
TL;DR: In this paper, the problem of dynamic characteristics correction is taken as solving stabilized solutions of Fredholm integral equations and Simulation result shows the validity of the method.
Proceedings ArticleDOI
Mathematical model and software architecture for the solution of inverse problems involving sensor arrays
TL;DR: This paper presents a mathematical model and partitioning for a software system for the solution of inverse problems involving arrays of sensors, handling the data from the array of sensors as vectors and matrices, while defining the inverse problem as a least squares computation with linear constraints.
Proceedings ArticleDOI
Stabilized solutions and multiparameter optimization technique of deconvolution
TL;DR: In this paper, a generalized approach to the deconvolution technique was proposed by solving stabilized solutions of Fredholm integral equations, and a stabilized method was proposed to obtain deconvolutions of transient signals.
References
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Book
Linear statistical inference and its applications
TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
Journal ArticleDOI
Linear Statistical Inference and its Applications
P. G. Moore,C. Radhakrishna Rao +1 more
TL;DR: The theory of least squares and analysis of variance has been studied in the literature for a long time, see as mentioned in this paper for a review of some of the most relevant works. But the main focus of this paper is on the analysis of variance.
Journal ArticleDOI
A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
TL;DR: Here the authors will consider only nonsingular linear integral equations of the first kind, where the known functions h(x), K(x, y) and g(x) are assumed to be bounded and usually to be continuous.
Journal ArticleDOI
Constrained iterative restoration algorithms
TL;DR: It is shown that by predistorting the signal (and later removing this predistortion) it is possible to achieve spectral extrapolation, to broaden the class of signals for which these algorithms achieve convergence, and to improve their performance in the presence of broad-band noise.
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