2 edition of **Signal Processing, Scattering and Operator Theory, and Numerical Methods** found in the catalog.

Signal Processing, Scattering and Operator Theory, and Numerical Methods

M. A. Kaashoek

- 348 Want to read
- 15 Currently reading

Published
**October 1990**
by Birkhauser
.

Written in English

- System Theory,
- Science,
- Control Engineering,
- Operations Analysis,
- Science/Mathematics,
- System analysis,
- Congresses,
- Control theory

**Edition Notes**

Contributions | A. S. M. Ran (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 3 |

ID Numbers | |

Open Library | OL8074404M |

ISBN 10 | 0817634711 |

ISBN 10 | 9780817634711 |

One of the most methodical treatments of electromagnetic wave propagation, radiation, and scatteringincluding new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end . This book provides a general theoretical description of such bistatic technology in the context of synthetic aperture, inverse synthetic aperture and forward scattering radars from the point of view of analytical geometrical and signal formation as well as processing theory. Signal formation and image reconstruction algorithms are developed.

Among the leading quantum-mechanical signal processing methods, this book emphasizes the role of Pade approximant and the Lanczos algorithm, highlighting the major benefits of their combination. These two methods are carefully incorporated within a unified framework of scattering and spectroscopy, developing an algorithmic power that can be. duce the use of statistical signal processing methods in imaging, with particular focus on the fundamental Cramer-Rao bound which gives a lower bound for the variance of any unbiased estimator of the sought-after parameters under a given noise model. The next two chapters (Chapters 1 and 2) address CRB analysis of scattering systems in 1D space.

The method is based on the observation that the far field patterns of point sources with centers near the true signal source are nearly orthogonal to the noise subspace of the far field operator. In M. A. Kaashoek, J. H. van Schuppen, and A. C. N. Ran, editors, Signal Processing, Scattering and Operator Theory, and Numerical Methods, pages Birkhäuser, 3 .

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Signal Processing, Scattering and Operator Theory, and Numerical Methods (Progress in Systems and Control Theory) (v. 3) Hardcover – October 1, by M.A.

Kaashoek (Editor)Format: Hardcover. Get this from a library. Signal processing, scattering and operator theory, and numerical methods. [Marinus A Kaashoek; J H Schuppen, van.; International Symposium on Mathematical Theory of Networks and Systems ]. Scattering-based numerical methods are increasingly applied to the numerical simulation of distributed time-dependent physical systems.

Mixing theory and application with numerical simulation results, this book will be suitable for both experts and readers with a limited background in signal processing and numerical techniques.

Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods.

CiteSeerX - Document Details (Isaac Scattering and Operator Theory, Lee Giles, Pradeep Teregowda): In this paper we propose a few methods for solving large Lyapunov equations that arise in control problems. We consider the common case where the right hand side is a small rank matrix.

For the single input case, i.e., when the equation considered is of the form AX + XA T + bb T = 0, where b is a column vector, we. Ammar and P. Gader, “New Decompositions of the Inverse of a Toeplitz Matrix,” chapter in Signal Processing, Scattering and Signal Processing Theory, and Numerical Methods, edited by M.

Kaashoek, J. van Schuppen, and A. Ran. Boston: Birkhauser, Rational J-inner-valued functions which are J-inner with respect to the unit circle (J being a matrix which is both self-adjoint and unitary) play an important role in interpolation theory and are extensively utilized in signal processing for filtering purposes and in control for minimal sensitivity (H ∞ feedback).

Any such function is a product of three kinds of elementary factors, each of. Schur Methods in Operator Theory and Signal Processing. Editors (view affiliations) I. Gohberg About About this book; Table of contents. Search within book. Front Matter. Pages PDF.

Editorial Introduction. Gohberg. Pages A Theorem of I. Schur and Its Impact on Modern Signal Processing. Thomas Kailath. Pages On Power. research interests include inverse and ill-posed problems, scattering theory, wave prop-agation, mathematical physics, diﬀerential and integral equations, functional analysis, nonlinear analysis, theoretical numerical analysis, signal processing, applied mathematics and operator theory.

∗Email: [email protected] 1. Over the decades, Functional Analysis has been enriched and inspired on account of demands from neighboring fields, within mathematics, harmonic analysis (wavelets and signal processing), numerical analysis (finite element methods, discretization), PDEs (diffusion equations, scattering theory), representation theory; iterated function systems (fractals, Julia sets, chaotic.

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The methods discussed included harmonic anal ysis and wavelets, operator theory, algorithm complexity, filtering and estimation, and inverse scattering. Alexander G. Ramm (born in St. Petersburg, Russia) is an American mathematician.

His research focuses on differential and integral equations, operator theory, ill-posed and inverse problems, scattering theory, functional analysis, spectral theory, numerical analysis, theoretical electrical engineering, signal estimation, and tomography.

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A direct imaging algorithm for point and extended targets is presented. The algorithm is based on a physical factorization of the response matrix of a transducer array.

The factorization is used to transform a passive target problem to an active source problem and to extract principal components (tones) in a phase consistent way. Thanks to the increasing availability of computational resources, numerical full-wave techniques, such as the method of moments, the finite-difference time-domain method, and the finite element method, or efficient asymptotic methods based on ray-tracing and ray-launching techniques, are now successfully applied to evaluate the scattered field.

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