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Information theory is an exceptional field in many ways.
Technically, it is one of the rare fields in which mathematical
results and insights have led directly to significant engineering
payoffs. Professionally, it is a field that has sustained a
remarkable degree of community, collegiality and high standards.
James L. Massey, whose work in the field is honored here, embodies
the highest standards of the profession in his own career. The book
covers the latest work on: block coding, convolutional coding,
cryptography, and information theory. The 44 contributions
represent a cross-section of the world's leading scholars,
scientists and researchers in information theory and communication.
The book is rounded off with an index and a bibliography of
publications by James Massey.
Efficient signal processing algorithms are important for embedded
and power-limited applications since, by reducing the number of
computations, power consumption can be reduced significantly.
Similarly, efficient algorithms are also critical to very large
scale applications such as video processing and four-dimensional
medical imaging. This self-contained guide, the only one of its
kind, enables engineers to find the optimum fast algorithm for a
specific application. It presents a broad range of
computationally-efficient algorithms, describes their structure and
implementation, and compares their relative strengths for given
problems. All the necessary background mathematics is included and
theorems are rigorously proved, so all the information needed to
learn and apply the techniques is provided in one convenient guide.
With this practical reference, researchers and practitioners in
electrical engineering, applied mathematics, and computer science
can reduce power dissipation for low-end applications of signal
processing, and extend the reach of high-end applications.
Today's pervasive computing and communications networks have
created an intense need for secure and reliable cryptographic
systems. Bringing together a fascinating mixture of topics in
engineering, mathematics, computer science, and informatics, this
book presents the timeless mathematical theory underpinning
cryptosystems both old and new. Major branches of classical and
modern cryptography are discussed in detail, from basic block and
stream cyphers through to systems based on elliptic and
hyperelliptic curves, accompanied by concise summaries of the
necessary mathematical background. Practical aspects such as
implementation, authentication and protocol-sharing are also
covered, as are the possible pitfalls surrounding various
cryptographic methods. Written specifically with engineers in mind,
and providing a solid grounding in the relevant algorithms,
protocols and techniques, this insightful introduction to the
foundations of modern cryptography is ideal for graduate students
and researchers in engineering and computer science, and
practitioners involved in the design of security systems for
communications networks.
Foreword by James L. Massey.
Codes, Graphs, and Systems is an excellent reference for both
academic researchers and professional engineers working in the
fields of communications and signal processing. A collection of
contributions from world-renowned experts in coding theory,
information theory, and signal processing, the book provides a
broad perspective on contemporary research in these areas. Survey
articles are also included. Specific topics covered include
convolutional codes and turbo codes; detection and equalization;
modems; physics and information theory; lattices and geometry; and
behaviors and codes on graphs.
Codes, Graphs, and Systems is a tribute to the leadership and
profound influence of G. David Forney, Jr. The 35 contributors to
the volume have assembled their work in his honor.
At the heart of any modern communication system is the modem,
connecting the data source to the communication channel. This first
course in the mathematical theory of modem design introduces the
theory of digital modulation and coding that underpins the design
of digital telecommunications systems. A detailed treatment of core
subjects is provided, including baseband and passband modulation
and demodulation, equalization, and sequence estimation. The
modulation waveforms for communication channels and digital
recording channels are treated in a common setting and with unified
terminology. A variety of more advanced topics is also covered,
such as trellis codes, turbo codes, the Viterbi algorithm, block
codes, maximum likelihood and maximum posterior probability,
iterative demodulation, and jamming. Numerous end-of-chapter
exercises are also included to test the reader s understanding
throughout. This insightful book is ideal for senior undergraduate
students studying digital communications and is also a useful
reference for practicing engineers.
This book was first published in 2004. In many applications,
images, such as ultrasonic or X-ray signals, are recorded and then
analyzed with digital or optical processors in order to extract
information. Such processing requires the development of algorithms
of great precision and sophistication. This book presents a unified
treatment of the mathematical methods that underpin the various
algorithms used in remote image formation. The author begins with a
review of transform and filter theory. He then discusses two- and
three-dimensional Fourier transform theory, the ambiguity function,
image construction and reconstruction, tomography, baseband
surveillance systems, and passive systems (where the signal source
might be an earthquake or a galaxy). Information-theoretic methods
in image formation are also covered, as are phase errors and phase
noise. Throughout the book, practical applications illustrate
theoretical concepts, and there are many homework problems. The
book is aimed at graduate students of electrical engineering and
computer science, and practitioners in industry.
Error-correcting codes play a fundamental role in modern communications and data-storage systems. This volume provides an accessible introduction to the basic elements of algebraic codes and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book is written for graduate students of electrical and computer engineering and practicing engineers whose work involves communications or signal processing.
Foreword by James L. Massey. Codes, Graphs, and Systems is an
excellent reference for both academic researchers and professional
engineers working in the fields of communications and signal
processing. A collection of contributions from world-renowned
experts in coding theory, information theory, and signal
processing, the book provides a broad perspective on contemporary
research in these areas. Survey articles are also included.
Specific topics covered include convolutional codes and turbo
codes; detection and equalization; modems; physics and information
theory; lattices and geometry; and behaviors and codes on graphs.
Codes, Graphs, and Systems is a tribute to the leadership and
profound influence of G. David Forney, Jr. The 35 contributors to
the volume have assembled their work in his honor.
Information theory is an exceptional field in many ways.
Technically, it is one of the rare fields in which mathematical
results and insights have led directly to significant engineering
payoffs. Professionally, it is a field that has sustained a
remarkable degree of community, collegiality and high standards.
James L. Massey, whose work in the field is honored here, embodies
the highest standards of the profession in his own career. The book
covers the latest work on: block coding, convolutional coding,
cryptography, and information theory. The 44 contributions
represent a cross-section of the world's leading scholars,
scientists and researchers in information theory and communication.
The book is rounded off with an index and a bibliography of
publications by James Massey.
This volume contains papers from three sets of tutorial covering
mathematics "Topics in Harmonic Analysis with Applications to Radar
and Sonar," physical aspects of scattering "Sonar and Radar Echo
Structure," and engineering modelling and processing of the
phenomena under consideration "Theory of Remote Surveillance
Algorithms." In addition, the famous technical report by Calvin H.
Wilcox "The Synthesis Problems for Radar Ambiguity Functions" is
published here for the first time.
This IMA Volume in Mathematics and its Applications RADAR AND
SONAR, PART II is based on the proceedings of the second week of
the IMA summer program "Radar and Sonar." Week two was devoted to
the presentation of problems and solutions of problems in Radar and
Sonar. vVe are grat.eful to Alberto Griinbaum, Marvin Bernfeld and
Richard Blahut for organizing the program. We also take this
opportunity to thank those agencies whose financial support made
the summer program possible: the Air Force Office of Scientific
Research, the Army Research Office, the National Science
Foundation, the National Security Agency and the Office of Naval
Research. A vner Friedman Willard Miller, Jr. PREFACE This volume
contains a representative discussion of mathematical problems that
arise in radar and sonar and is based on the lectures that were
given during the second week of the IMA summer program RADAR AND
SONAR, June IS-June 29, 1990. (The first week was devoted to three
sets of tutorial lectures and the lecture notes from that part of
the program appear in an earlier IMA volume.) The second week was
run as a workshop of contributed papers without formal review. The
speakers were selected to cover a broad range of problems in this
area.
Algorithms for computation are a central part of both digital
signal pro cessing and decoders for error-control codes and the
central algorithms of the two subjects share many similarities.
Each subject makes extensive use of the discrete Fourier transform,
of convolutions, and of algorithms for the inversion of Toeplitz
systems of equations. Digital signal processing is now an
established subject in its own right; it no longer needs to be
viewed as a digitized version of analog signal process ing.
Algebraic structures are becoming more important to its
development. Many of the techniques of digital signal processing
are valid in any algebraic field, although in most cases at least
part of the problem will naturally lie either in the real field or
the complex field because that is where the data originate. In
other cases the choice of field for computations may be up to the
algorithm designer, who usually chooses the real field or the
complex field because of familiarity with it or because it is
suitable for the particular application. Still, it is appropriate
to catalog the many algebraic fields in a way that is accessible to
students of digital signal processing, in hopes of stimulating new
applications to engineering tasks."
This book was first published in 2004. In many applications,
images, such as ultrasonic or X-ray signals, are recorded and then
analyzed with digital or optical processors in order to extract
information. Such processing requires the development of algorithms
of great precision and sophistication. This book presents a unified
treatment of the mathematical methods that underpin the various
algorithms used in remote image formation. The author begins with a
review of transform and filter theory. He then discusses two- and
three-dimensional Fourier transform theory, the ambiguity function,
image construction and reconstruction, tomography, baseband
surveillance systems, and passive systems (where the signal source
might be an earthquake or a galaxy). Information-theoretic methods
in image formation are also covered, as are phase errors and phase
noise. Throughout the book, practical applications illustrate
theoretical concepts, and there are many homework problems. The
book is aimed at graduate students of electrical engineering and
computer science, and practitioners in industry.
The need to transmit and store massive amounts of data reliably and
without error is a vital part of modern communications systems.
Error-correcting codes play a fundamental role in minimising data
corruption caused by defects such as noise, interference, crosstalk
and packet loss. This book provides an accessible introduction to
the basic elements of algebraic codes, and discusses their use in a
variety of applications. The author describes a range of important
coding techniques, including Reed-Solomon codes, BCH codes, trellis
codes, and turbocodes. Throughout the book, mathematical theory is
illustrated by reference to many practical examples. The book was
first published in 2003 and is aimed at graduate students of
electrical and computer engineering, and at practising engineers
whose work involves communications or signal processing.
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