Title
Inverse problems in coding, automata, and continuous systems
Abstract
The investigation presents explicit interconnections between inverse problems in the theories of convolutional codes, automata, and continuous time linear dynamical systems. In a code-generating, or transfer function, matrix framework, necessary and sufficient conditions are given for a feedforward linear sequential circuit to have a feedforward inverse, either instantaneous or with delay. In the corresponding state-oriented realization, techniques which have been applied to construct inverses for continuous time linear dynamical systems are used to outline the construction of inverse automata. Finally, the feedforward inverse results are applied to continuous time systems. Relationships between the results are discussed.
Year
DOI
Venue
1967
10.1109/FOCS.1967.17
Austin, TX, USA
Keywords
DocType
Citations 
continuous time system,feedforward inverse result,convolutional code,feedforward inverse,corresponding state-oriented realization,inverse problem,continuous system,feedforward linear sequential circuit,linear dynamical system,continuous time,inverse automaton,code generation,convolutional codes,transfer function,inverse problems,decoding,sequential circuits,automata,transfer functions,polynomials
Conference
3
PageRank 
References 
Authors
20.46
0
2
Name
Order
Citations
PageRank
James L. Massey11096272.94
Michael K. Sain21425.39