This paper presents a formal precedure for determining the state-space representations of any digital network consisting of adders, multipliers, and delays. Such representations are called state structures whenever the state variables are exclusively identified to the appropriately chosen internal n
State structures in digital filter configurations—II. reduced and minimal state structures
✍ Scribed by S.K. Mondal; K. Mitra; S. Chakrabarti
- Book ID
- 103090162
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 907 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
In Part I of this paper we presented a formal procedure for determining the various state stictures associated with any given digital network with the dimension of state vector equal to the number of dynamic elements in the network. For noncanonic networks, it is sometimes possible to find state structures with state vectors of reduced and even lowest dimension. Such a state structure is defined to be reduced state structure except for the case where state vector dimension is the lowest possible (the associated state structure is termed minimal). A graph-theoretic procedure for determining the existence of conditions under which a state structure can be simplified is outlined in this part of the paper.
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