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March 1978 (vol. 27 no. 3)
pp. 222-231
| ASCII Text | x | ||
| K.P. Parker, E.J. McCluskey, "Sequential Circuit Output Probabilities From Regular Expressions," IEEE Transactions on Computers, vol. 27, no. 3, pp. 222-231, March, 1978. | |||
| BibTex | x | ||
| @article{ 10.1109/TC.1978.1675075, author = {K.P. Parker and E.J. McCluskey}, title = {Sequential Circuit Output Probabilities From Regular Expressions}, journal ={IEEE Transactions on Computers}, volume = {27}, number = {3}, issn = {0018-9340}, year = {1978}, pages = {222-231}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1978.1675075}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - Sequential Circuit Output Probabilities From Regular Expressions IS - 3 SN - 0018-9340 SP222 EP231 EPD - 222-231 A1 - K.P. Parker, A1 - E.J. McCluskey, PY - 1978 KW - sequential circuits KW - Multinominal Markov processes KW - output porbabilities KW - regular expressions VL - 27 JA - IEEE Transactions on Computers ER - | |||
This paper presents a number of methods for finding sequential circuit output probabilities using regular expressions. Various classes of regular expressions, based on their form, are defined and it is shown how to easily find multistep transition probabilities directly from the regular expressions. A new procedure for finding steady-state probabilities is given which proceeds either from a regular expression or a state diagram description. This procedure is based on the concept of synchronization of the related machine, and is useful for those problems where synchronization sequences exist. In the cases where these techniques can be utilized, substantial savings in computation can be realized. Furthermore, application to other areas such as multinomial Markov processes is immediate.
Index Terms:
sequential circuits, Multinominal Markov processes, output porbabilities, regular expressions
Citation:
K.P. Parker, E.J. McCluskey, "Sequential Circuit Output Probabilities From Regular Expressions," IEEE Transactions on Computers, vol. 27, no. 3, pp. 222-231, March 1978, doi:10.1109/TC.1978.1675075
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