State structures in digital filter configurations—I. conventional and nodal state structures

✍ Scribed by S.K. Mondal; S.K. Mitra; S. Chakrabarti

• Book ID: 103090161
• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 668 KB
• Volume: 309
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(80)90002-2

✦ Synopsis

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 node variables of the network. In general, the state structures corresponding to a given network are not unique. In Part I of the paper we present techniques of obtaining the various state structures where the associated state vectors have dimensions equal to the number of dynamic elements (in our case delays) in the network. In Part II we shall treat the subject of lowering the dimension of such state-space representations.