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This book serves as an introductory text to algebraic coding theory. The contents are suitable for final year undergraduate and first year graduate courses in electrical and computer engineering, and will give the reader knowledge of coding fundamentals that is essential for a deeper understanding of state-of-the-art coding systems. This book will also serve as a quick reference for those who need it for specific applications, like in cryptography and communications. Eleven chapters cover linear error-correcting block codes from elementary principles, going through cyclic codes and then covering some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography. At the end of each chapter a section containing problems and solutions is included. Three appendices cover the Gilbert bound and some related derivations, a derivation of the MacWilliams' identities based on the probability of undetected error, and two important tools for algebraic decoding, namely, the finite field Fourier transform and the Euclidean algorithm for polynomials.

Coding theory. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming

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Jüngere Entwicklungen in der Informatik, insbesondere "data-driven procedures", haben ein neues Level für Design und Engineering eröffnet. Davon ist auch die Architektur betroffen. Dieser Band versammelt die Beiträge von Informatikern, Mathematikern, Philosophen, Kulturtheoretikern und Architekten zum Thema Coding as Literacy. Das übergeordnete Interesse gilt dabei der Betrachtung von Computer basierenden Verfahren jenseits eines strikt fallbasierenden und problemlösungs-orientierten Paradigmas: das Thema lädt dazu ein, Computational Procedures als eingebettet in eine übergreifende "Medien Kompetenz" zu verstehen, die sich über eine "computational literacy" erschließen und aneignen lässt, und über die Daten, die in den erwähnten Verfahren verarbeitet werden, auf gewinnbringende Weise in den Begriffen der Quantenphysik nachzudenken. Als konkreten Referenzpunkt für alle weiterführenden Diskussionen werden die sogenannten "Self Organizing Maps" (SOM), welche vor mehr als 30 Jahren eingeführt wurden, in den Blickpunkt gestellt. Recent developments in computer science, particularly "data-driven procedures" have opened a new level of design and engineering. This has also affected architecture. The publication collects contributions on Coding as Literacy by computer scientists, mathematicians, philosophers, cultural theorists, and architects. The main focus in the book is the observation of computer-based methods that go beyond strictly case-based or problem-solution-oriented paradigms. This invites readers to understand Computational Procedures as being embedded in an overarching "media literacy" that can be revealed through, and acquired by, "computational literacy", and to consider the data processed in the above-mentioned methods as being beneficial in terms of quantum physics. "Self-Organizing Maps" (SOM), which were first introduced over 30 years ago, will serve as the concrete reference point for all further discussions.

Coding theory. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming

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Csiszár and Körner's book is widely regarded as a classic in the field of information theory, providing deep insights and expert treatment of the key theoretical issues. It includes in-depth coverage of the mathematics of reliable information transmission, both in two-terminal and multi-terminal network scenarios. Updated and considerably expanded, this new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics. The presentations of all core subjects are self contained, even the advanced topics, which helps readers to understand the important connections between seemingly different problems. Finally, 320 end-of-chapter problems, together with helpful solving hints, allow readers to develop a full command of the mathematical techniques. It is an ideal resource for graduate students and researchers in electrical and electronic engineering, computer science and applied mathematics.

Coding theory --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Coding theory. --- Codage.

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The uniqueness of this book is that it covers such important aspects of modern signal processing as block transforms from subband filter banks and wavelet transforms from a common unifying standpoint, thus demonstrating the commonality among these decomposition techniques. In addition, it covers such ""hot"" areas as signal compression and coding, including particular decomposition techniques and tables listing coefficients of subband and wavelet filters and other important properties.The field of this book (Electrical Engineering/Computer Science) is currently booming, which is, of course

Signal processing --- Coding theory. --- Digital techniques. --- Digital signal processing --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Digital communications

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The book contains six chapters. The use of the progressive regressive strategy for biometrical authentication through the use of human gait and face images was investigated. A new lossy image compression technique that uses singular value decomposition and wavelet difference reduction technique was proposed. The best wavelet packet based selection algorithm and its application in image denoising was discussed. The scaling factor threshold estimator in different color models using a discrete wavelet transform for steganographic algorithms was presented. The extraction of features appearing in current signal using wavelet analysis when there is rotor fault of eccentricity and broken rotor bar was debated. The application of the empirical wavelet transform for seismic anomalies detection in ultralow-frequency geomagnetic signals was illustrated.

Image compression. --- Transformations (Mathematics) --- Wavelets (Mathematics) --- Wavelet analysis --- Harmonic analysis --- Algorithms --- Differential invariants --- Geometry, Differential --- Image data compression --- Data compression (Telecommunication) --- Mathematical modelling