Network Coding Theory provides a tutorial on the basic of
network coding theory. It presents the material in a transparent
manner without unnecessarily presenting all the results in their
full generality.
Store-and-forward had been the predominant technique for
transmitting information through a network until its optimality
was refuted by network coding theory. Network coding offers a new
paradigm for network communications and has generated abundant
research interest in information and coding theory, networking,
switching, wireless communications, cryptography, computer
science, operations research, and matrix theory.
The tutorial is divided into two parts. Part I is devoted to
network coding for the transmission from a single source node to
other nodes in the network. Part II deals with the problem under
the more general circumstances when there are multiple source
nodes each intending to transmit to a different set of
destination nodes.
Network Coding Theory presents a unified framework for
understanding the basic notions and fundamental results in
network coding. It will be of interest to students, researchers
and practitioners working in networking research.
Published by Now Publishers and marketed by World Scientific
Contents:
Introduction
Acyclic Networks
Cyclic Networks
Network Coding and Algebraic Coding
Acknowledgements
References
Readership: Postgraduates and professionals.
148pp Pub. date: Jun 2006
ISBN 978-1-933019-24-6(pbk)
1-933019-24-7(pbk)
Toeplitz and Circulant Matrices: A Review derives in a
tutorial manner the fundamental theorems on the asymptotic
behavior of eigenvalues, inverses, and products of banded
Toeplitz matrices and Toeplitz matrices with absolutely summable
elements. Mathematical elegance and generality are sacrificed for
conceptual simplicity and insight in the hope of making these
results available to engineers lacking either the background or
endurance to attack the mathematical literature on the subject.
By limiting the generality of the matrices considered, the
essential ideas and results can be conveyed in a more intuitive
manner without the mathematical machinery required for the most
general cases. As an application the results are applied to the
study of the covariance matrices and their factors of linear
models of discrete time random processes.
Toeplitz and Circulant Matrices: A Review is written for students
and practicing engineers in an accessible manner bringing this
important topic to a wider audience.
Published by Now Publishers and marketed by World Scientific
Contents:
Introduction
The Asymptotic Behavior of Matrices
Circulant Matrices
Toeplitz Matrices
Matrix Operations on Toeplitz Matrices
Applications to Stochastic Time Series
Acknowledgements
References
Updates
Readership: Postgraduates and professionals.
84pp Pub. date: Dec 2005
ISBN 978-1-933019-23-9(pbk)
1-933019-23-9(pbk)
Recently Geometric Programming has been applied to study a
variety of problems in the analysis and design of communication
systems from information theory and queuing theory to signal
processing and network protocols.
Geometric Programming for Communication Systems begins its
comprehensive treatment of the subject by providing an in-depth
tutorial on the theory, algorithms, and modeling methods of
Geometric Programming. It then gives a systematic survey of the
applications of Geometric Programming to the study of
communication systems. It collects in one place various published
results in this area, which are currently scattered in several
books and many research papers, as well as to date unpublished
results.
Geometric Programming for Communication Systems is intended for
researchers and students who wish to have a comprehensive
starting point for understanding the theory and applications of
geometric programming in communication systems.
Published by Now Publishers and marketed by World Scientific
Contents:
Introduction
Geometric Programming
Applications in Communication Systems
Why is Geometric Programming Useful for Communication Systems
History of Geometric Programming
Some Proofs
Acknowledgements
References
Readership: Postgraduates and professionals.
154pp Pub. date: Jul 2005
ISBN 978-1-933019-09-3(pbk)
1-933019-09-3(pbk)
Information Theory and Statistics: A Tutorial is concerned
with applications of information theory concepts in statistics,
in the finite alphabet setting. The topics covered include large
deviations, hypothesis testing, maximum likelihood estimation in
exponential families, analysis of contingency tables, and
iterative algorithms with an "information geometry"
background. Also, an introduction is provided to the theory of
universal coding, and to statistical inference via the minimum
description length principle motivated by that theory.
The tutorial does not assume the reader has an in-depth knowledge
of Information Theory or statistics. As such, Information Theory
and Statistics: A Tutorial, is an excellent introductory text to
this highly-important topic in mathematics, computer science and
electrical engineering. It provides both students and researchers
with an invaluable resource to quickly get up to speed in the
field.
Published by Now Publishers and marketed by World Scientific
Contents:
Preface
Preliminaries
Large Deviations, Hypothesis Testing
I-Projections
f-Divergence and Contingency Tables
Iterative Algorithms
Universal Coding
Redundancy Bounds Redundancy and the MDL Principle
Appendix: A Summary of Process Concepts
Historical Notes
References
Readership: Postgraduates and professionals.
115pp Pub. date: Dec 2004
ISBN 978-1-933019-05-5(pbk)
1-933019-05-0(pbk)
Algebraic number theory is gaining an increasing impact in
code design for many different coding applications, such as
single antenna fading channels and more recently, MIMO systems.
Extended work has been done on single antenna fading channels,
and algebraic lattice codes have been proven to be an effective
tool. The general framework has been developed in the last ten
years and many explicit code constructions based on algebraic
number theory are now available.
Algebraic Number Theory and Code Design for Rayleigh Fading
Channels provides an overview of algebraic lattice code designs
for Rayleigh fading channels, as well as a tutorial introduction
to algebraic number theory.
The basic facts of this mathematical field are illustrated by
many examples and by the use of computer algebra freeware in
order to make it more accessible to a large audience. This makes
the book suitable for use by students and researchers in both
mathematics and communications.
Published by Now Publishers and marketed by World Scientific
Contents:
Introduction
The Communication Problem
Some Lattice Theory
The Sphere Decoder
First Concepts in Algebraic Number Theory
Ideal Lattices
Rotated-Lattices Codes
Other Applications and Conclusions
References
Readership: Postgraduates and professionals.
88pp Pub. date: Dec 2004
ISBN 978-1-933019-07-9(pbk)
1-933019-07-7(pbk)
This volume deals with the problem of characterizing the limit points of sequences of smooth maps from the unit ball of Rn with values into a smooth boundaryless Riemannian manifold and with equibounded gintegral energiesh. After surveying some known results about Cartesian currents and graphs with finite area and finite boundary area, we do characterize, as in the title, weak limits of sequences of smooth maps with equibounded W1,2-, W1/2-, or BV-energies
Mariano Giaquinta and Domenico Mucci, Maps into manifolds and currents: area and W1,2-, W1/2-, BV-energies. Pisa, Edizioni della Normale 2006, ISBN 88-7642-158-0, pp. 409,