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Additive Bernoulli Noise Linear Sequential Circuits
October 1972 (vol. 21 no. 10)
pp. 1119-1124
H.N. El-Ghoroury, Texas Instruments Incorporated
In the search for new methods to realize stochastic automata, additive Bernoulli noise linear sequential circuits (ABNLSC) are constructed from linear sequential circuits fed with Bernoulli noise. The characteristics of the subclass of stochastic automata realizable by ABNLSC's are found. These characteristics include: commutativity with respect to input sequences; state minimality; doubly stochastic state transition matrices; and the conditions for the existence of asymptotic distribution of the state.
Index Terms:
Additive Bernoulli noise linear sequential circuits, commutativity, realization of stochastic automata, sequential circuits, state minimality, state transition matrix, stochastic automata.
Citation:
H.N. El-Ghoroury, S.C. Gupta, "Additive Bernoulli Noise Linear Sequential Circuits," IEEE Transactions on Computers, vol. 21, no. 10, pp. 1119-1124, Oct. 1972, doi:10.1109/T-C.1972.223460
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