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Pseudo-Boolean Matrix Techniques for State Minimisation of Finite State Machine Realisations of DSP Systems.

Knoll, A.C. and Dooley, L.S. and Hetzheim, H. (1992) Pseudo-Boolean Matrix Techniques for State Minimisation of Finite State Machine Realisations of DSP Systems. Third IMA Conference on Mathematics in Signal Processing, University of Warwick, GB, 15-17 December 1992.

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Abstract

It is explored the mathematical basis of state reduction techniques, which have been developed in the design of Minimum Complexity Finite State Machines. The technique is based upon using first or second order Markovian Models and Pseudo-Boolean Matrices, to minimise the requisite number of states to implement IIR and FIR Digital Filters as well as DFT algorithms. The Boolean and the double BooleanDifference factors are then calculated to provide a measure of dependancy of state transitions for different arities. Rules are beinbeing developed for the connection of Pseudo-Boolean Matrices for different nodes and loops.

Document Type:Conference or Workshop Item (Speech)
Additional Information: LIDO-Berichtsjahr=1992,
Title:Pseudo-Boolean Matrix Techniques for State Minimisation of Finite State Machine Realisations of DSP Systems.
Authors:
AuthorsInstitution or Email of Authors
Knoll, A.C.UNSPECIFIED
Dooley, L.S.UNSPECIFIED
Hetzheim, H.UNSPECIFIED
Date:1992
Status:Published
Keywords:state reduction techniques, digital signal processing, finite state machines, pseudoboolean matrix
Event Title:Third IMA Conference on Mathematics in Signal Processing, University of Warwick, GB, 15-17 December 1992
HGF - Research field:UNSPECIFIED
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:UNSPECIFIED
DLR - Program:no assignment
DLR - Research theme (Project):UNSPECIFIED
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Institut für Weltraumsensorik
Deposited By: elib DLR-Beauftragter
Deposited On:02 Apr 2006
Last Modified:27 Apr 2009 09:55

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