Maximum Likelihood Deconvolution

Author : Jerry M. Mendel
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461233701

Get Book

Maximum-Likelihood Deconvolution by Jerry M. Mendel Pdf

Convolution is the most important operation that describes the behavior of a linear time-invariant dynamical system. Deconvolution is the unraveling of convolution. It is the inverse problem of generating the system's input from knowledge about the system's output and dynamics. Deconvolution requires a careful balancing of bandwidth and signal-to-noise ratio effects. Maximum-likelihood deconvolution (MLD) is a design procedure that handles both effects. It draws upon ideas from Maximum Likelihood, when unknown parameters are random. It leads to linear and nonlinear signal processors that provide high-resolution estimates of a system's input. All aspects of MLD are described, from first principles in this book. The purpose of this volume is to explain MLD as simply as possible. To do this, the entire theory of MLD is presented in terms of a convolutional signal generating model and some relatively simple ideas from optimization theory. Earlier approaches to MLD, which are couched in the language of state-variable models and estimation theory, are unnecessary to understand the essence of MLD. MLD is a model-based signal processing procedure, because it is based on a signal model, namely the convolutional model. The book focuses on three aspects of MLD: (1) specification of a probability model for the system's measured output; (2) determination of an appropriate likelihood function; and (3) maximization of that likelihood function. Many practical algorithms are obtained. Computational aspects of MLD are described in great detail. Extensive simulations are provided, including real data applications.

Author : Jerry M. Mendel
Publisher : Unknown
Page : 227 pages
File Size : 54,8 Mb
Release : 1990-01-01
Category : Estimation theory
ISBN : 3540972080

Get Book

Maximum-likelihood Deconvolution by Jerry M. Mendel Pdf

Author : Jerry M. Mendel
Publisher : Elsevier
Page : 268 pages
File Size : 51,6 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781483258195

Get Book

Optimal Seismic Deconvolution by Jerry M. Mendel Pdf

Optimal Seismic Deconvolution: An Estimation-Based Approach presents an approach to the problem of seismic deconvolution. It is meant for two different audiences: practitioners of recursive estimation theory and geophysical signal processors. The book opens with a chapter on elements of minimum-variance estimation that are essential for all later developments. Included is a derivation of the Kaiman filter and discussions of prediction and smoothing. Separate chapters follow on minimum-variance deconvolution; maximum-likelihood and maximum a posteriori estimation methods; the philosophy of maximum-likelihood deconvolution (MLD); and two detection procedures for determining the location parameters in the input sequence product model. Subsequent chapters deal with the problem of estimating the parameters of the source wavelet when everything else is assumed known a priori; estimation of statistical parameters when the source wavelet is known a priori; and a different block component method for simultaneously estimating all wavelet and statistical parameters, detecting input signal occurrence times, and deconvolving a seismic signal. The final chapter shows how to incorporate the simplest of all models—the normal incidence model—into the maximum-likelihood deconvolution procedure.

Author : P. Groeneboom,J.A. Wellner
Publisher : Birkhäuser
Page : 129 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034886215

Get Book

Information Bounds and Nonparametric Maximum Likelihood Estimation by P. Groeneboom,J.A. Wellner Pdf

This book contains the lecture notes for a DMV course presented by the authors at Gunzburg, Germany, in September, 1990. In the course we sketched the theory of information bounds for non parametric and semiparametric models, and developed the theory of non parametric maximum likelihood estimation in several particular inverse problems: interval censoring and deconvolution models. Part I, based on Jon Wellner's lectures, gives a brief sketch of information lower bound theory: Hajek's convolution theorem and extensions, useful minimax bounds for parametric problems due to Ibragimov and Has'minskii, and a recent result characterizing differentiable functionals due to van der Vaart (1991). The differentiability theorem is illustrated with the examples of interval censoring and deconvolution (which are pursued from the estimation perspective in part II). The differentiability theorem gives a way of clearly distinguishing situations in which 1 2 the parameter of interest can be estimated at rate n / and situations in which this is not the case. However it says nothing about which rates to expect when the functional is not differentiable. Even the casual reader will notice that several models are introduced, but not pursued in any detail; many problems remain. Part II, based on Piet Groeneboom's lectures, focuses on non parametric maximum likelihood estimates (NPMLE's) for certain inverse problems. The first chapter deals with the interval censoring problem.

Author : Patrizio Campisi,Karen Egiazarian
Publisher : CRC Press
Page : 474 pages
File Size : 51,9 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781420007299

Get Book

Blind Image Deconvolution by Patrizio Campisi,Karen Egiazarian Pdf

Blind image deconvolution is constantly receiving increasing attention from the academic as well the industrial world due to both its theoretical and practical implications. The field of blind image deconvolution has several applications in different areas such as image restoration, microscopy, medical imaging, biological imaging, remote sensing, astronomy, nondestructive testing, geophysical prospecting, and many others. Blind Image Deconvolution: Theory and Applications surveys the current state of research and practice as presented by the most recognized experts in the field, thus filling a gap in the available literature on blind image deconvolution. Explore the gamut of blind image deconvolution approaches and algorithms that currently exist and follow the current research trends into the future. This comprehensive treatise discusses Bayesian techniques, single- and multi-channel methods, adaptive and multi-frame techniques, and a host of applications to multimedia processing, astronomy, remote sensing imagery, and medical and biological imaging at the whole-body, small-part, and cellular levels. Everything you need to step into this dynamic field is at your fingertips in this unique, self-contained masterwork. For image enhancement and restoration without a priori information, turn to Blind Image Deconvolution: Theory and Applications for the knowledge and techniques you need to tackle real-world problems.

Author : Brian H. Russell
Publisher : SEG Books
Page : 177 pages
File Size : 47,5 Mb
Release : 1988
Category : Science
ISBN : 9780931830655

Get Book

Introduction to Seismic Inversion Methods by Brian H. Russell Pdf

An overview of the current techniques used in the inversion of seismic data is provided. Inversion is defined as mapping the physical structure and properties of the subsurface of the earth using measurements made on the surface, creating a model of the earth using seismic data as input.

Author : James Pawley
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 54,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9781475753486

Get Book

Handbook of Biological Confocal Microscopy by James Pawley Pdf

This third edition of a classic text in biological microscopy includes detailed descriptions and in-depth comparisons of parts of the microscope itself, digital aspects of data acquisition and properties of fluorescent dyes, the techniques of 3D specimen preparation and the fundamental limitations, and practical complexities of quantitative confocal fluorescence imaging. Coverage includes practical multiphoton, photodamage and phototoxicity, 3D FRET, 3D microscopy correlated with micro-MNR, CARS, second and third harmonic signals, ion imaging in 3D, scanning RAMAN, plant specimens, practical 3D microscopy and correlated optical tomography.

Author : D.C. Cullum
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 48,5 Mb
Release : 1993-12-31
Category : Technology & Engineering
ISBN : 9780751400250

Get Book

Introduction to Surfactant Analysis by D.C. Cullum Pdf

The analysis of surfactants presents many problems to the analyst. This book has been written by an experienced team of surfactant analysts, to give practical help in this difficult field. Readers will find the accessible text and clear description of methods, along with extensive references, an invaluable aid in their work.

Author : P. Groeneboom,Jon A. Wellner
Publisher : Birkhauser
Page : 126 pages
File Size : 51,5 Mb
Release : 1992
Category : Mathematics
ISBN : 0817627944

Get Book

Information Bounds and Nonparametric Maximum Likelihood Estimation by P. Groeneboom,Jon A. Wellner Pdf

Author : G.G Roussas
Publisher : Springer Science & Business Media
Page : 691 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401132220

Get Book

Nonparametric Functional Estimation and Related Topics by G.G Roussas Pdf

About three years ago, an idea was discussed among some colleagues in the Division of Statistics at the University of California, Davis, as to the possibility of holding an international conference, focusing exclusively on nonparametric curve estimation. The fruition of this idea came about with the enthusiastic support of this project by Luc Devroye of McGill University, Canada, and Peter Robinson of the London School of Economics, UK. The response of colleagues, contacted to ascertain interest in participation in such a conference, was gratifying and made the effort involved worthwhile. Devroye and Robinson, together with this editor and George Metakides of the University of Patras, Greece and of the European Economic Communities, Brussels, formed the International Organizing Committee for a two week long Advanced Study Institute (ASI) sponsored by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was held on the Greek Island of Spetses between July 29 and August 10, 1990. Nonparametric functional estimation is a central topic in statistics, with applications in numerous substantive fields in mathematics, natural and social sciences, engineering and medicine. While there has been interest in nonparametric functional estimation for many years, this has grown of late, owing to increasing availability of large data sets and the ability to process them by means of improved computing facilities, along with the ability to display the results by means of sophisticated graphical procedures.

Author : Jean-marc Theriault,James O Jensen
Publisher : World Scientific
Page : 544 pages
File Size : 42,6 Mb
Release : 2009-08-11
Category : Technology & Engineering
ISBN : 9789814469586

Get Book

Spectral Sensing Research For Surface And Air Monitoring In Chemical, Biological And Radiological Defense And Security Applications by Jean-marc Theriault,James O Jensen Pdf

This book provides unique perspectives on the state of the art in multispectral/hyperspectral techniques for early-warning monitoring against chemical, biological and radiological (CB&R) contamination of both surface (e.g. land) and air (e.g. atmospheric) environments through the presentation of a comprehensive survey of the novel spectroscopic methodologies and technologies that are emerging to address the CB&R defense and security challenges of the future. The technical content in this book lends itself to the non-traditional requirements for point and stand-off detection that have evolved out of the US joint services programs over many years. In particular, the scientific and technological work presented seeks to enable hyperspectral-based sensing and monitoring that is in real time and in-line; low in cost and labor requirements; and easy to support, maintain and use in military and security-relevant scenarios.

Author : Harry Salem,Sidney A. Katz
Publisher : CRC Press
Page : 616 pages
File Size : 50,7 Mb
Release : 2003-03-26
Category : Medical
ISBN : 9780203008799

Get Book

Alternative Toxicological Methods by Harry Salem,Sidney A. Katz Pdf

Bringing together the recent and relevant contributions of over 125 scientists from industry, government, and academia in North America and Western Europe, Alternative Toxicological Methods explores the development and validation of replacement, reduction, and refinement alternatives (the 3Rs) to animal testing. Internationally recognized scientist

Author : S. P. Maurya,N. P. Singh,K. H. Singh
Publisher : Springer Nature
Page : 221 pages
File Size : 40,8 Mb
Release : 2020-05-28
Category : Science
ISBN : 9783030456627

Get Book

Seismic Inversion Methods: A Practical Approach by S. P. Maurya,N. P. Singh,K. H. Singh Pdf

This book introduces readers to seismic inversion methods and their application to both synthetic and real seismic data sets. Seismic inversion methods are routinely used to estimate attributes like P-impedance, S-impedance, density, the ratio of P-wave and S-wave velocities and elastic impedances from seismic and well log data. These attributes help to understand lithology and fluid contents in the subsurface. There are several seismic inversion methods available, but their application and results differ considerably, which can lead to confusion. This book explains all popular inversion methods, discusses their mathematical backgrounds, and demonstrates their capacity to extract information from seismic reflection data. The types covered include model-based inversion, colored inversion, sparse spike inversion, band-limited inversion, simultaneous inversion, elastic impedance inversion and geostatistical inversion, which includes single-attribute analysis, multi-attribute analysis, probabilistic neural networks and multi-layer feed-forward neural networks. In addition, the book describes local and global optimization methods and their application to seismic reflection data. Given its multidisciplinary, integrated and practical approach, the book offers a valuable tool for students and young professionals, especially those affiliated with oil companies.

Author : Renaud Foy,Françoise Claude Foy
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 48,6 Mb
Release : 2006-01-14
Category : Science
ISBN : 9781402034374

Get Book

Optics in Astrophysics by Renaud Foy,Françoise Claude Foy Pdf

Astrophysics is facing challenging aims such as deep cosmology at redshift higher than 10 to constrain cosmology models, or the detection of exoplanets, and possibly terrestrial exoplanets, and several others. It requires unprecedented ambitious R&D programs, which have definitely to rely on a tight cooperation between astrophysics and optics communities. The book addresses most of the most critical interdisciplinary domains where they interact, or where they will do. A first need is to collect more light, i.e. telescopes still larger than the current 8-10 meter class ones. Decametric, and even hectometric, optical (from UV to IR wavelengths) telescopes are being studied. Whereas up to now the light collecting surface of new telescopes was approximately 4 times that of the previous generation, now this factor is growing to 10 to 100. This quantum leap urges to implement new methods or technologies developed in the optics community, both in academic labs and in the industry. Given the astrophysical goals and technological constraints, new generation adaptive optics with a huge number of actuators and laser guide stars devices have to be developed, from theoretical bases to experimental works. Two other newcomers in observational astrophysics are interferometric arrays of optical telescopes and gravitational wave detectors. Up-to-date reviews of detectors and of spectrographs are given, as well as forefront R&D in the field of optical coatings and of guided optics. Possible new ways to handle photons are also addressed, based on quantum physics. More and more signal processing algorithms are a part and parcel of any modern instrumentation. Thus finally the book gives two reviews about wavefront processing and about image restoration and deconvolution algorithms for ill conditioned cases.

Author : Jerry M. Mendel
Publisher : Pearson Education
Page : 891 pages
File Size : 42,7 Mb
Release : 1995-03-14
Category : Technology & Engineering
ISBN : 9780132440790

Get Book

Lessons in Estimation Theory for Signal Processing, Communications, and Control by Jerry M. Mendel Pdf

Estimation theory is a product of need and technology. As a result, it is an integral part of many branches of science and engineering. To help readers differentiate among the rich collection of estimation methods and algorithms, this book describes in detail many of the important estimation methods and shows how they are interrelated. Written as a collection of lessons, this book introduces readers o the general field of estimation theory and includes abundant supplementary material.