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If you are working in digital signal processing, control or numerical analysis, you will find this authoritative analysis of quantization noise (roundoff error) invaluable. Do you know where the theory of quantization noise comes from, and under what circumstances it is true? Get answers to these and other important practical questions from expert authors, including the founder of the field and formulator of the theory of quantization noise, Bernard Widrow. The authors describe and analyze uniform quantization, floating-point quantization, and their applications in detail. Key features include: · Analysis of floating point round off · Dither techniques and implementation issues analyzed · Offers heuristic explanations along with rigorous proofs, making it easy to understand 'why' before the mathematical proof is given.

If you are working in digital signal processing, control or numerical analysis, you will find this authoritative analysis of quantization noise (roundoff error) invaluable. Do you know where the theory of quantization noise comes from, and under what circumstances it is true? Get answers to these and other important practical questions from expert authors, including the founder of the field and formulator of the theory of quantization noise, Bernard Widrow. The authors describe and analyze uniform quantization, floating-point quantization, and their applications in detail. Key features include: · Analysis of floating point round off · Dither techniques and implementation issues analyzed · Offers heuristic explanations along with rigorous proofs, making it easy to understand 'why' before the mathematical proof is given.

Former library book; Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1

Herb Caen, a popular columnist for the San Francisco Chronicle, recently quoted a Voice of America press release as saying that it was reorganizing in order to "eliminate duplication and redundancy. " This quote both states a goal of data compression and illustrates its common need: the removal of duplication (or redundancy) can provide a more efficient representation of data and the quoted phrase is itself a candidate for such surgery. Not only can the number of words in the quote be reduced without losing informa­ tion, but the statement would actually be enhanced by such compression since it will no longer exemplify the wrong that the policy is supposed to correct. Here compression can streamline the phrase and minimize the em­ barassment while improving the English style. Compression in general is intended to provide efficient representations of data while preserving the essential information contained in the data. This book is devoted to the theory and practice of signal compression, i. e. , data compression applied to signals such as speech, audio, images, and video signals (excluding other data types such as financial data or general­ purpose computer data). The emphasis is on the conversion of analog waveforms into efficient digital representations and on the compression of digital information into the fewest possible bits. Both operations should yield the highest possible reconstruction fidelity subject to constraints on the bit rate and implementation complexity.

Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability.In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms.

Herb Caen, a popular columnist for the San Francisco Chronicle, recently quoted a Voice of America press release as saying that it was reorganizing in order to "eliminate duplication and redundancy. " This quote both states a goal of data compression and illustrates its common need: the removal of duplication (or redundancy) can provide a more efficient representation of data and the quoted phrase is itself a candidate for such surgery. Not only can the number of words in the quote be reduced without losing informa­ tion, but the statement would actually be enhanced by such compression since it will no longer exemplify the wrong that the policy is supposed to correct. Here compression can streamline the phrase and minimize the em­ barassment while improving the English style. Compression in general is intended to provide efficient representations of data while preserving the essential information contained in the data. This book is devoted to the theory and practice of signal compression, i. e. , data compression applied to signals such as speech, audio, images, and video signals (excluding other data types such as financial data or general­ purpose computer data). The emphasis is on the conversion of analog waveforms into efficient digital representations and on the compression of digital information into the fewest possible bits. Both operations should yield the highest possible reconstruction fidelity subject to constraints on the bit rate and implementation complexity.

First edition, first printing, 166 pp., Paperback, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Field Quantization is a thorough introduction to the physical ideas and techniques of this subject, starting from an elementary level. The initial chapters deal with the quantum mechanics of systems having many degrees of freedom and with classical Lagrangian field theory. Subsequently, both the traditional method of canonical quantization and the modern approach using path integrals are studied. The material is presented in considerable detail and accompanied by a large number of worked examples and exercises.

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.

This introduction to the theory of Hamiltonian chaos outlines the main results in the field, and goes on to consider implications for quantum mechanics. The study of nonlinear dynamics, and in particular of chaotic systems, is one of the fastest growing and most productive areas in physics and applied mathematics. In its first six chapters, this timely book introduces the theory of classical Hamiltonian systems. The aim is not to be comprehensive but, rather, to provide a mathematical trunk from which the reader will be able to branch out. The main focus is on periodic orbits and their neighbourhood, as this approach is especially suitable as an introduction to the implications of the theory of chaos in quantum mechanics, which are discussed in the last three chapters.

These lectures covering topics basic to classical and modern physics were given by Pauli at the Zurich Federal Institute, where they were transcribed by his collaborators. They have now been translated and edited for English publication, and are introduced by Victor Weisskopf, who writes as follows: "It is often said that scientific texts quickly become obsolete. Why are the Pauli lectures brought to the public today, when some of them were given as long as twenty years ago? The reason is simple: Pauli's way of presenting physics is never out of date. His famous article on the foundations of quantum mechanics appeared in 1933 in the German encyclopedia Handbuch der Physik. Twenty-five years later it reappeared practically unchanged in a new edition, whereas most other contributions to this encyclopedia had to be completely rewritten. The reason for this remarkable fact lies in Pauli's style, which is commensurate to the greatness of its subject in its clarity and impact. Style in scientific writing is a quality that today is on the point of vanishing. The pressure of fast publication is so great that people rush into print with hurriedly written papers and books that show little concern for careful formulation of ideas. Mathematical and instrumental techniques have become complicated and difficult today; they demand so much skill and training that most of the effort of writing and learning is devoted to the acquisition of this skill instead of insight into important concepts. Essential ideas of physics are often lost in the dense forest of mathematical reasoning. This situation need not be so. Pauli's lectures show how physical ideas can be presented clearly and in good mathematical form, without being hidden in formalistic expertise."

imultaneous Recording Channels: 2(stereo).Simultaneous Playback Channels: 2(stereo).Quantization: 24bit.Sampling Frequency: 44.1/48kHz.Frequency Re...

DNA Direct Note Access, Full Melodyne toolkit, Unlimited tracks with Multitrack Note Editing, Macros for pitch- and timing-correction as well as quantization, Precise tempo-detection and editing

ADDAC's ADDAC207 is an easy-to-use quantizer for Eurorack modular synthesizers, featuring:4 Voices of Quantization with 10 Octave rangeKeyboard Mod...

This volume describes the spectral theory of the Weyl-quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. It uses powerful and flexible techniques, gathering results scattered throughout the literature.

The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general geometric structures. This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables, for a general physical system.The Dirac-von Neumann axioms are then derived. The description of states and observables as Hilbert space vectors and operators follows from the GNS and Gelfand-Naimark Theorems. The experimental existence of complementary observables for atomic systems is shown to imply the noncommutativity of the observable algebra, the distinctive feature of QM; for finite degrees of freedom, the Weyl algebra codifies the experimental complementarity of position and momentum (Heisenberg commutation relations) and Schrödinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the Hamiltonian and solved by the Kato-Rellich conditions on the potential, which also guarantee quantum stability for classically unbounded-below Hamiltonians. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), to the formulation in terms of ground state correlations (the quantum mechanical analog of the Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle is discussed in detail, as an example of the interplay between topology and functional integral, leading to the emergence of superselection rules and θ sectors.

Video coding is complex. YouTube and Netflix use it to deliver great video even at extremely low data rates. Have you ever wondered how they optimize video for low bandwidths? Do technical terms like 'rate distortion optimization', 'predictive coding' or 'adaptive quantization' overwhelm you? Decode To Encode is the only book that answers the hows and whys of elements in AVC (H.264), HEVC (H.265) and VP9. It provides video engineers and students all the compression fundamentals they need to solve problems, conduct research and serve their customers better. Coming from an experienced video codec engineer and product enthusiast, the book is written in a clear language with numerous examples.You will learn about:- digital video fundamentals and the evolution of codecs;- spatial and temporal aspects leveraged to achieve compression in block-based video architecture;- intra and inter coding, GOPs, block partitioning, prediction, transforms, quantization, CABAC, in-loop filtering, rate-distortion optimization and rate control;- bitrate modes, performance metrics and comparisons;- emerging topics like per-title encoding, AV1, 360 Video and VR, and encoding with ML.Why be left behind in today’s evolving video landscape? Get the tools you need to understand technical specifications and design video algorithms. Learn the concepts in this book and become a compression expert today. Exude confidence as you walk into your next meeting or start a conversation about video compression.

This book presents the essential aspects of relativistic quantum field theory, with minimal use of mathematics. It covers the development of quantum field theory from the original quantization of electromagnetic field to the gauge field theory of interactions among quarks and leptons.Aimed at both scientists and non-specialists, it requires only some rudimentary knowledge of the Lagrangian and Hamiltonian formulation of Newtonian mechanics and a basic understanding of the special theory of relativity and quantum mechanics.