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IEICE TRANSACTIONS on transactions

Sequential Machines Having Quasi-Stable States and Their State Reduction

Takeomi TAMESADA

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Summary :

Asynchronous sequential circuits, obtained by generalizing the astable multivibrator and monostable one as sequential circuits having state-transitions among any number of stable states and quasi-stable states, are called sequential circuits having quasistable states (SCQ's). Moreover, a mathematical model of the SCQ is called the sequential machine having quasi-stable states (SMQ). This paper is devoted mainly to the state reduction problem of the SMQ. There are two types of the SMQ's (celled type I and type II). The difference between the types is the specifications of each quasi-stable duration. Thus this paper describes state reduction methods for type I and type II, where the latter utilizes the former. The systematic state reduction methods described in this paper become considerably more complicated than that for conventional sequential machines, because of the particularity of the quasistable state. Of course, this method is an extension of the state reduction method for the conventional asynchronous sequential machine. This paper includes a definition and representations of the SMQ, definitions of concepts available for the SMQ's, and their systematic state reduction methods.

Publication
IEICE TRANSACTIONS on transactions Vol.E64-E No.3 pp.147-154
Publication Date
1981/03/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Digital Circuits

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