Introduction To Shannon Sampling And Interpolation Theory PDF Download
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| Author | : Robert J. II Marks |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 336 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461397081 |
Download Introduction to Shannon Sampling and Interpolation Theory Book in PDF, ePub and Kindle
Much of that which is ordinal is modeled as analog. Most computational engines on the other hand are dig- ital. Transforming from analog to digital is straightforward: we simply sample. Regaining the original signal from these samples or assessing the information lost in the sampling process are the fundamental questions addressed by sampling and interpolation theory. This book deals with understanding, generalizing, and extending the cardinal series of Shannon sampling theory. The fundamental form of this series states, remarkably, that a bandlimited signal is uniquely specified by its sufficiently close equally spaced samples. The contents of this book evolved from a set of lecture notes prepared for a graduate survey course on Shannon sampling and interpolation theory. The course was taught at the Department of Electrical Engineering at the University of Washington, Seattle. Each of the seven chapters in this book includes a list of references specific to that chapter. A sequel to this book will contain an extensive bibliography on the subject. The author has also opted to include solutions to selected exercises in the Appendix.
| Author | : Robert J II Marks |
| Publisher | : |
| Total Pages | : 346 |
| Release | : 1990-11-06 |
| Genre | : |
| ISBN | : 9781461397090 |
Download Introduction to Shannon Sampling and Interpolation Theory Book in PDF, ePub and Kindle
| Author | : Robert J. Marks |
| Publisher | : |
| Total Pages | : 384 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : |
Download Advanced Topics in Shannon Sampling and Interpolation Theory Book in PDF, ePub and Kindle
| Author | : Robert J.II Marks |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 364 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 146139757X |
Download Advanced Topics in Shannon Sampling and Interpolation Theory Book in PDF, ePub and Kindle
Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.
| Author | : AhmedI. Zayed |
| Publisher | : Routledge |
| Total Pages | : 356 |
| Release | : 2018-04-24 |
| Genre | : Mathematics |
| ISBN | : 1351468197 |
Download Advances in Shannon's Sampling Theory Book in PDF, ePub and Kindle
Advances in Shannon's Sampling Theory provides an up-to-date discussion of sampling theory, emphasizing the interaction between sampling theory and other branches of mathematical analysis, including the theory of boundary-value problems, frames, wavelets, multiresolution analysis, special functions, and functional analysis. The author not only traces the history and development of the theory, but also presents original research and results that have never before appeared in book form. Recent techniques covered include the Feichtinger-Gröchenig sampling theory; frames, wavelets, multiresolution analysis and sampling; boundary-value problems and sampling theorems; and special functions and sampling theorems. The book will interest graduate students and professionals in electrical engineering, communications, and applied mathematics.
| Author | : Stephen D. Casey |
| Publisher | : Springer Nature |
| Total Pages | : 210 |
| Release | : 2020-05-20 |
| Genre | : Mathematics |
| ISBN | : 3030362914 |
Download Sampling: Theory and Applications Book in PDF, ePub and Kindle
The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: • Compressed sensing• Non-uniform and wave sampling• A-to-D conversion• Finite rate of innovation• Time-frequency analysis• Operator theory• Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.
| Author | : AhmedI. Zayed |
| Publisher | : Routledge |
| Total Pages | : 334 |
| Release | : 2018-04-24 |
| Genre | : Mathematics |
| ISBN | : 1351468200 |
Download Advances in Shannon's Sampling Theory Book in PDF, ePub and Kindle
Advances in Shannon's Sampling Theory provides an up-to-date discussion of sampling theory, emphasizing the interaction between sampling theory and other branches of mathematical analysis, including the theory of boundary-value problems, frames, wavelets, multiresolution analysis, special functions, and functional analysis. The author not only traces the history and development of the theory, but also presents original research and results that have never before appeared in book form. Recent techniques covered include the Feichtinger-Gröchenig sampling theory; frames, wavelets, multiresolution analysis and sampling; boundary-value problems and sampling theorems; and special functions and sampling theorems. The book will interest graduate students and professionals in electrical engineering, communications, and applied mathematics.
| Author | : Farokh Marvasti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 938 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461512298 |
Download Nonuniform Sampling Book in PDF, ePub and Kindle
Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.
| Author | : Terrence Joseph Moore |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2000 |
| Genre | : Interpolation |
| ISBN | : |
Download Shannon-Type Sampling Theory on Unions of Equally Spaced and Noncommensurate Grids Book in PDF, ePub and Kindle
Sampling theory is that branch of mathematics that seeks to reconstruct functions from its values at a discrete set of points. The fundamental result in sampling theory known as "Shannon's sampling theorem" has many applications to signal processing and communications engineering. I demonstrate Shannon's result via complex interpolation methods. I then quote a result that uses these methods to solve interpolation problems on unions of noncommensurate lattices, which are created via a specific number of the- oretic guidelines. These interpolations give Shannon-type reconstructions on these lattices. I close by doing simulations in MATLAB of the sampling reconstructions on these noncommensurate grids.
| Author | : Frank M. Callier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 524 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461209579 |
Download Linear System Theory Book in PDF, ePub and Kindle
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.
