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Modeling Digital Switching Circuits with Linear Algebra (Paperback)
Loot Price: R997
Discovery Miles 9 970
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Modeling Digital Switching Circuits with Linear Algebra (Paperback)
Series: Synthesis Lectures on Digital Circuits & Systems
Expected to ship within 18 - 22 working days
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Modeling Digital Switching Circuits with Linear Algebra describes
an approach for modeling digital information and circuitry that is
an alternative to Boolean algebra. While the Boolean algebraic
model has been wildly successful and is responsible for many
advances in modern information technology, the approach described
in this book offers new insight and different ways of solving
problems. Modeling the bit as a vector instead of a scalar value in
the set {0, 1} allows digital circuits to be characterized with
transfer functions in the form of a linear transformation matrix.
The use of transfer functions is ubiquitous in many areas of
engineering and their rich background in linear systems theory and
signal processing is easily applied to digital switching circuits
with this model. The common tasks of circuit simulation and
justification are specific examples of the application of the
linear algebraic model and are described in detail. The advantages
offered by the new model as compared to traditional methods are
emphasized throughout the book. Furthermore, the new approach is
easily generalized to other types of information processing
circuits such as those based upon multiple-valued or quantum logic;
thus providing a unifying mathematical framework common to each of
these areas. Modeling Digital Switching Circuits with Linear
Algebra provides a blend of theoretical concepts and practical
issues involved in implementing the method for circuit design
tasks. Data structures are described and are shown to not require
any more resources for representing the underlying matrices and
vectors than those currently used in modern electronic design
automation (EDA) tools based on the Boolean model. Algorithms are
described that perform simulation, justification, and other common
EDA tasks in an efficient manner that are competitive with
conventional design tools. The linear algebraic model can be used
to implement common EDA tasks directly upon a structural netlist
thus avoiding the intermediate step of transforming a circuit
description into a representation of a set of switching functions
as is commonly the case when conventional Boolean techniques are
used. Implementation results are provided that empirically
demonstrate the practicality of the linear algebraic model.
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