#Royal Road To Topology A Convergence Of Filters PDF
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Synopsis : Royal Road to Topology A Convergence of Filters written by Szymon Dolecki, published by which was released on 2021-12. Download Royal Road to Topology A Convergence of Filters Books now! Available in PDF, EPUB, Mobi Format. The title alludes to advantages of the present approach, which is more gratifying than many traditional ones: you travel more comfortably through mathematical landscapes and you see more.The book is addressed both to those who wish to learn ... -- Convergence theory is intuitive, that it is highly operational, results from its universality (which will become evident from the lecture of this book). In plain words, the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Convergence theory exponentially completes topology in an analogous way as the field of complex numbers algebraically completes the field of real numbers.The title of this book alludes the mentioned advantages of the present approach, which I believe to be more gratifying than many traditional ones: you travel more comfortably and see more. Principal classical topics of typical topology courses are included. In most cases, they appear as simple consequences of the developed theory of convergence.
Convergence theory is intuitive, that it is highly operational, results from its universality (which will become evident from the lecture of this book). In plain words, the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Convergence theory exponentially completes topology in an analogous way as the field of complex numbers algebraically completes the field of real numbers.The title of this book alludes the mentioned advantages of the present approach, which I believe to be more gratifying than many traditional ones: you travel more comfortably and see more. Principal classical topics of typical topology courses are included. In most cases, they appear as simple consequences of the developed theory of convergence.
Authors: Stanley A. White, Institute of Electrical and Electronics Engineers
Categories: Computer-aided design
Type: BOOK - Published: 1992 - Publisher: Institute of Electrical & Electronics Engineers(IEEE)
ISCAS '98 provides the latest results on many important subjects in computer aided design, modeling and simulation, testing, signal processing, neural and fuzzy systems, multimedia, image and video processing, linear and nonlinear circuits and systems, and many more exciting fields."
Type: BOOK - Published: 2000 - Publisher: World Scientific
"the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great didactical mastery, clearly and precisely It can be recommended not only for specialists on integration theory, but also for a large scale of readers, mainly for postgraduate students".Mathematics Abstracts
Authors: Mukund Padmanabhan, Kenneth W. Martin, Gábor Péceli
Categories: Technology & Engineering
Type: BOOK - Published: 1996 - Publisher: Springer Science & Business Media
Feedback-Based Orthogonal Digital Filters: Theory, Applications, and Implementation develops the theory of a feedback-based orthogonal digital filter and examines several applications where the filter topology leads to a simple and efficient solution. The development of the filter structure is linked to concepts in observer theory. Several signal processing problems can be represented as estimation problems, where a parametric representation of the input is used, to try and replicate it locally. This estimation problem can be solved using an identity observer, and the filter topology falls in this framework. Hence the filter topology represents a universal building block that can find application in several problems, such as spectral estimation, time-recursive computation of transforms, etc. Further, because of the orthogonality constraints satisfied by the structure, it also represents a robust solution under finite precision conditions. The book also presents the observer-based viewpoint of several signal processing problems, and shows that problems that are typically treated independently in the literature are in fact linked and can be cast in a single unified framework. In addition to examining the theoretical issues, the book describes practical issues related to a hardware implementation of the building block, in both the digital and analog domain. On the digital side, issues relating to implementation using semi-custom chips (FPGA's), and ASIC design are examined. On the analog side, the design and testing of a fabricated chip, that functions as a multi-sinusoidal phase-locked-loop, are described. Feedback-Based Orthogonal Digital Filters serves as an excellent reference. May be used as a text for advanced courses on the subject.
Type: BOOK - Published: 1994-06-30 - Publisher: Springer
Adaptive filtering is commonly used in many communication applications including speech and video predictive coding, mobile radio, ISDN subscriber loops, and multimedia systems. Existing adaptive filtering topologies are non-concurrent and cannot be pipelined. Pipelined Adaptive Digital Filters presents new pipelined topologies which are useful in reducing area and power and in increasing speed. If the adaptive filter portion of a system suffers from a power-speed-area bottleneck, a solution is provided. Pipelined Adaptive Digital Filters is required reading for all users of adaptive digital filtering algorithms. Algorithm, application and integrated circuit chip designers can learn how their algorithms can be tailored and implemented with lower area and power consumption and with higher speed. The relaxed look-ahead techniques are used to design families of new topologies for many adaptive filtering applications including least mean square and lattice adaptive filters, adaptive differential pulse code modulation coders, adaptive differential vector quantizers, adaptive decision feedback equalizers and adaptive Kalman filters. Those who use adaptive filtering in communications, signal and image processing algorithms can learn the basis of relaxed look-ahead pipelining and can use their own relaxations to design pipelined topologies suitable for their applications. Pipelined Adaptive Digital Filters is especially useful to designers of communications, speech, and video applications who deal with adaptive filtering, those involved with design of modems, wireless systems, subscriber loops, beam formers, and system identification applications. This book can also be used as a text for advanced courses on the topic.
Authors: Alfred Frölicher, Alfred Frèolicher, Andreas Kriegl
Type: BOOK - Published: 1988-08-18 - Publisher: John Wiley & Sons Incorporated
This book presents a new basis for differential calculus. Classical differentiation in linear spaces of arbitrary dimension uses Banach spaces--but most function spaces are not Banach spaces. Any attempts to develop a theory of differentiation covering non-normable linear spaces have always involved arbitrary conditions. This book bases the theory of differentiability of linear spaces on the fundamental idea of reducing the differentiability of general maps to that of functions on the real numbers. And the property ``continuously differentiable'' is replaced by that of ``Lipschitz differentiable.'' The result is a more natural theory, of conceptual simplicity that leads to the the same categories of linear spaces, but in a more general setting.