The field of digital communication has evolved rapidly in the past few
decades, with commercial applications proliferating in wireline communi-
cation networks (e.g., digital subscriber loop, cable, fiber optics), wireless
communication (e.g., cell phones and wireless local area networks), and stor-
age media (e.g., COMPACT discs, hard drives). The typical undergraduate and
graduate student is drawn to the field because of these applications, but is
often intimidated by the mathematical background necessary to understand
communication theory.
Part I provides a COMPACT survey on classical stochastic geometry models. The basic models defined
in this part will be used and extended throughout the whole monograph, and in particular to SINR based
models. Note however that these classical stochastic models can be used in a variety of contexts which
go far beyond the modeling of wireless networks. Chapter 1 reviews the definition and basic properties of
Poisson point processes in Euclidean space. We review key operations on Poisson point processes (thinning,
superposition, displacement) as well as key formulas like Campbell’s formula. Chapter 2 is focused on
properties of the spatial shot-noise process: its continuity properties, its Laplace transform, its moments
etc. Both additive and max shot-noise processes are studied. Chapter 3 bears on coverage processes,
and in particular on the Boolean model. Its basic coverage characteristics are reviewed. We also give a
brief account of its percolation properties. Chapter 4 studies random tessellations; the main focus is on
Poisson–Voronoi tessellations and cells. We also discuss various random objects associated with bivariate
point processes such as the set of points of the first point process that fall in a Voronoi cell w.r.t. the second
point process.
For more than three decades, Micro Electro Mechanical Systems (MEMS) have
steadily transitioned out of research labs and into production forming a more than $10 billion
market [1]. MEMS devices such as accelerometers, pressure sensors and microphones, to name
a few, have seen immense utilization, particularly in the consumer electronics market, because
of their COMPACT sizes and minute power consumptions. In addition, these devices benefit from
batch fabrication, which has enabled year-over-year reductions in cost [2]. In recent years,
The main aim of this book is to present a unified, systematic description of
basic and advanced problems, methods and algorithms of the modern con-
trol theory considered as a foundation for the design of computer control
and management systems. The scope of the book differs considerably from
the topics of classical traditional control theory mainly oriented to the
needs of automatic control of technical devices and technological proc-
esses. Taking into account a variety of new applications, the book presents
a COMPACT and uniform description containing traditional analysis and op-
timization problems for control systems as well as control problems with
non-probabilistic models of uncertainty, problems of learning, intelligent,
knowledge-based and operation systems – important for applications in the
control of manufacturing processes, in the project management and in the
control of computer systems.
The goal of this text is focus on a core subset of the natural language processing, unified
by the concepts of learning and search. A remarkable number of problems in natural
language processing can be solved by a COMPACT set of methods:
Current field forecast verification measures are inadequate, primarily because they compress the comparison
between two complex spatial field processes into one number. Discrete wavelet transforms (DWTs) applied to
analysis and contemporaneous forecast fields prove to be an insightful approach to verification problems. DWTs
allow both filtering and COMPACT physically interpretable partitioning of fields. These techniques are used to
reduce or eliminate noise in the verification process and develop multivariate measures of field forecasting
performance that are shown to improve upon existing verification procedures.
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