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IEEE International Symposium on Computer Aided Control System Design (CACSD)

作者： M.V. Nayakkankuppam M.L. Overton Department of Computer Science Courant Institute of Mathematical Sciences New York NY USA

In this paper, we briefly describe two interior-point algorithms for semidefinite programming. At each iteration, both these algorithms compute search directions by solving a linear system. We discuss some preliminary experiments for moderately sized, block diagonal semidefinite programs, comparing direct and iterative methods for solving the linear systems.

关键词： Mathematical programming linear systems Control theory linear programming Jacobian matrices Computer science Iterative algorithms Iterative methods Symmetric matrices Sufficient conditions

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Algorithms and LAPACK-based software for subspace identification

Algorithms and LAPACK-based software for subspace identifica...

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IEEE International Symposium on Computer Aided Control System Design (CACSD)

作者： V. Sima Research Institute for Informatics Bucharest Romania

Basic algorithms and LAPACK-based Fortran software for multivariable system identification by subspace techniques are briefly described. Deterministic and combined deterministic-stochastic identification problems are dealt with using two approaches. A state space model is computed from input-output data sequences. Multiple data sequences collected by possibly independent identification experiments can be handled. Sequential processing of large data sets is provided as an option. Illustrative numerical examples are included.

关键词： Software algorithms State-space methods Mathematical model MATLAB Least squares approximation linear algebra Singular value decomposition Parallel processing Informatics MIMO

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Gabor systems with good TF-localization and applications to image processing

Gabor systems with good TF-localization and applications to ...

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IEEE International conference on Image Processing

作者： H.G. Feichtinger P. Prinz W. Kozek NUHAG-Numerical Harmonic Analysis Group Department of Mathematics University of Technology Vienna Vienna Austria

The basic design freedom of a (generalized) Gabor transform is the choice of (i) the time-frequency lattice constants and (ii) the analysis prototype (atom, window). The design of the synthesis prototype is subject to linear constraints (Wexler-Raz (1990) condition) depending on the redundancy of the presentation. For multidimensional signals the design freedom can be greatly increased by the consideration of nonseparable situations: (i) nonseparable prototypes and/or (ii) nonseparable position-frequency sampling lattices. We present such a general theory for the Gabor expansion of 2D signals. Our main result is a generalized biorthogonality condition connecting the analysis and synthesis prototype. The theory is illustrated by a simple numerical experiment.

关键词： Image processing Prototypes Lattices Sampling methods Fourier transforms Frequency Harmonic analysis Signal synthesis Mathematics Image analysis

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ADAPTED WAVELET COMPUTATION methods 2

ADAPTED WAVELET COMPUTATION METHODS

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2nd conference on Wavelet applications

作者： WICKERHAUSER, MV WASHINGTON UNIV DEPT MATHST LOUISMO 63130

ISBN: (纸本)0819418447

We briefly survey how to use libraries of (orthonormal) bases of well-behaved waveforms, including wavelets and lapped orthogonal transforms, so as to obtain fast numerical algorithms for the expansion of functions and operators in these bases. The most important applications are fast approximate matrix multiplication, and application of matrices to vectors.

关键词： Wavelets Matrices Matrix multiplication Transform theory Algorithms linear algebra Mathematics Superposition

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Deconvolution of multiple images

Deconvolution of multiple images

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conference on Experimental and numerical methods for Solving Ill-Posed Inverse Problems - Medical and Nonmedical applications

作者： Piana, M Bertero, M UNIV GENOA DIPARTIMENTO FISI-16146 GENOAITALY

ISBN: (纸本)081941929X

Deconvolution of images of the same object from multiple sensors with different point spread functions (PSF), as shown by Berenstein and Patrick, can be a well-posed problem in the sense of distributions if the PSF satisfy some suitable conditions. More precisely, if these operators are represented by compactly supported distributions, a corresponding set of deconvolvers, also given by compactly supported distributions, may exist. Nevertheless, it must be observed that this inverse operator is not particularly useful if the multiple images which must be deconvolved are affected by noise, because continuity in the sense of distributions is too weak. This is the reason why a more effective approach is provided by the inverse methods typical of regularization theory. We have considered the case described by Berenstein and Patrick, in which the input function consists of the sum of two Gaussian pulses and the PSF are the characteristic functions of the intervals (-1, 1) and (- (root)2, 2). The two images we have obtained have been affected by Gaussian noise and then simulated data have been inverted by using various regularization techniques; in particular, in the case of iterative methods, it has also been possible to introduce the positivity constraint. The comparison between the reconstructions we have obtained and the input function allows to estimate the greater efficiency of the regularized multiple operators deconvolution, compared with the inversion of a single image, when linear filtering is applied. On the contrary the performance of the nonlinear constrained iterative method seems not to be particularly sensitive to the use of two images instead of one. An explanation of this fact is given and an example, where the use of multiple images can be advantageous, is presented.

关键词： multiple deconvolution regularisation techniques linear and non linear

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Estimation of smooth integral functionals in emission tomography

Estimation of smooth integral functionals in emission tomogr...

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conference on Experimental and numerical methods for Solving Ill-Posed Inverse Problems - Medical and Nonmedical applications

作者： Kuruc, A UNIV CALIF BERKELEY LAWRENCE BERKELEY LABCTR FUNCT IMAGINGBERKELEYCA 94720

ISBN: (纸本)081941929X

We present an algorithm-independent theory of statistical accuracy attainable in emission tomography. Let f denote the tracer density as a function of position (i.e., f is the underlying image). We consider the problem of estimating (Phi) (f) equalsV (integral) (phi) (x)f(x)dx, where (phi) is a smooth function, given n independent observations distributed according to the Radon transform of f. Assuming only that f is bounded above and below away from 0, we construct minimum-variance unbiased (MVU) estimators for (Phi) (f). By definition, the variavnce of the MVU estimator is a best-possible lower bound (depending on (phi) and f) on the variance of unbiased estimators of (Phi) (f). The analysis gives a geometrical explanation of when and by how much estimators based on the standard filtered-backpropagation reconstruction algorithm may be improved.

关键词： linear functionals emission tomography Radon transform statistical estimation nonparametric estimation functional estimation inverse problems ill-posed problems

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TRUST REGIONS BASED ON CONIC FUNCTIONS IN linear AND NONlinear-PROGRAMMING

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numerical linear algebra WITH applications 1995年第3期2卷 235-241页

作者： NAZARETH, JL Department of Pure and Applied Mathematics Washington State University Pullman WA 99164-3113 USA

An optimization method is developed based on ellipsoidal trust regions that are defined by conic functions. It provides a powerful unifying theory from which can be derived a variety of interesting and potentially useful optimization algorithms, in particular, conjugate-gradient-like algorithms for nonlinear minimization and Karmarkar-like interior-point algorithms for linear programming.

关键词： INTERIOR-POINT methods TRUST REGIONS CONIC FUNCTIONS CONJUGATE GRADIENTS linear PROGRAMMING NONlinear MINIMIZATION KARMARKARS ALGORITHM CENTERING

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Proceedings of the 1995 34th IEEE conference on Decision and Control. Part 2 (of 4)

Proceedings of the 1995 34th IEEE Conference on Decision and...

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Proceedings of the 1995 34th IEEE conference on Decision and Control. Part 1 (of 4)

The proceedings contains 212 papers. Topics discussed include nonlinear control, robot control, stochastic control, Riemann geometry in parametrization and control theory, numerical methods, adaptive control applications, discrete time signals, systems, and control, frequency domain identification, neural networks, real life control design challenge problems, system stability, optimal control, control of computer and telecommunication networks, robustness analysis, hybrid control systems, time delay systems, Kalman filtering, backstepping, robotics, sampled data systems, least squares identification, neural adaptive estimation and control, aircraft applications, linear and semilinear systems, H-infinity control, and target tracking.

关键词： Control systems

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numerical SIMULATIONS OF FLUID FLOW IN THE VOCAL TRACT 4

NUMERICAL SIMULATIONS OF FLUID FLOW IN THE VOCAL TRACT

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4th European conference on Speech Communication and Technology, EUROSPEECH 1995

作者： Richard, G. Liu, M. Sinder, D. Duncan, H. Lin, Q. Flanagan, J. Levinson, S. Davis, D. Slimon, S. Rutgers Univ. CAIP Center PiscatawayNJ08855 United States AT&T Bell Laboratories Murray HillNJ07974 United States General Dynamics GrotonCT06340 United States

An alternate approach to speech synthesis based on numerical solution of Navier-Stokes (NS) and Reynolds-Averaged-Navier-Stokes (RANS) equations is described. Unlike the traditional methods based on linear acoustic theory, the NS and RANS formulations are not limited by the assumptions of linearity, negligible viscous effects, and plane wave propagation. In the present formulation, the Navier-Stokes equations are discretized and solved using a finite difference method. Initial applications involve 2-D simulations of flow through ideal channels (straight or curved tubes). In another application, the formulation is applied to the geometry of the three cardinal vowels. Synthetic speech sounds of encouraging quality are obtained for the three vowels. © 1995 4th European conference on Speech Communication and Technology, EUROSPEECH 1995. All rights reserved.

关键词： Navier Stokes equations

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Proceedings of the 1995 34th IEEE conference on Decision and Control. Part 1 (of 4)

Proceedings of the 1995 34th IEEE Conference on Decision and...

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Proceedings of the 1995 34th IEEE conference on Decision and Control. Part 1 (of 4)

The proceedings contains 191 papers. Topics discussed include nonlinear control, adaptive control of robot manipulators, stochastic systems, nonlinear observer design, numerical methods, robustness, parameter varying systems, identification, fuzzy logic control, computer aided control system design, linear systems, nonlinear H-infinity control, control challenges by broadband networks, robust stability and control, discrete event systems, partial differential equations, behavioral approach to system theory, Lyapunov second method, mechanical systems, feedback linearization, industrial applications of control systems, time varying systems, multivariable systems, knowledge based systems, aerospace and vehicular control, control and performance of computer and communication networks, infinite dimensional system control.

关键词： Control systems

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