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Binary Periodic Signals & Flows (Hardcover)
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Binary Periodic Signals & Flows (Hardcover)
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The signals from digital electrical engineering are modeled by
discrete time and real time functions, whose values are binary
n-tuples and which are also called signals. The asynchronous
circuits, representing the devices that work with such signals, are
modeled by Boolean autonomous deterministic regular asynchronous
systems, shortly by asynchronous flows. The attribute Boolean'
vaguely refers to the binary Boole algebra; autonomous' means that
there is no input; deterministic' means the existence of a unique
state function; and regular' indicates the existence of a Boolean
function that iterates its coordinates independently on each other
(ie: asynchronously). Strong analogies exist with the real, usual
dynamical systems. The purpose of this research monograph is to
study the periodicity of the signals and of their values, as well
as the periodicity of the asynchronous flows. The monograph
addresses systems theory and computer science that apply to
researchers, but it is also interesting to those that study
periodicity itself. From this last perspective, the signals may be
thought of as functions with many finite values. At the same time,
the asynchronous flows may be considered as special cases of
variable structure systems. The bibliography consists of works of
real, dynamical systems that produce analogies.
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