Abstract
The relationship between the periodicity of a two-dimensional sequence and its energy state diagram is investigated. Some examples are given which illustrate that if the initial conditions are not finite then the trajectory of the energy state diagram does not necessarily terminate on a closed curve, and conversely if the trajectory terminates on a closed curve then the sequence is not necessarily periodic. It is proven that if a two-dimensional sequence is periodic and finite initial conditions are used, then the trajectory of its energy state diagram terminates on a closed curve consisting of a finite number of points.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings - IEEE International Symposium on Circuits and Systems |
| Publisher | Publ by IEEE |
| Pages | 2998-3001 |
| Number of pages | 4 |
| Volume | 4 |
| State | Published - 1990 |
| Externally published | Yes |
| Event | 1990 IEEE International Symposium on Circuits and Systems Part 4 (of 4) - New Orleans, LA, USA Duration: May 1 1990 → May 3 1990 |
Other
| Other | 1990 IEEE International Symposium on Circuits and Systems Part 4 (of 4) |
|---|---|
| City | New Orleans, LA, USA |
| Period | 5/1/90 → 5/3/90 |
Fingerprint
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
Cite this
Periodic and nonperiodic modes in two-dimensional digital filters. / Bose, Tamal; Sarvate, Dinesh.
Proceedings - IEEE International Symposium on Circuits and Systems. Vol. 4 Publ by IEEE, 1990. p. 2998-3001.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Periodic and nonperiodic modes in two-dimensional digital filters
AU - Bose, Tamal
AU - Sarvate, Dinesh
PY - 1990
Y1 - 1990
N2 - The relationship between the periodicity of a two-dimensional sequence and its energy state diagram is investigated. Some examples are given which illustrate that if the initial conditions are not finite then the trajectory of the energy state diagram does not necessarily terminate on a closed curve, and conversely if the trajectory terminates on a closed curve then the sequence is not necessarily periodic. It is proven that if a two-dimensional sequence is periodic and finite initial conditions are used, then the trajectory of its energy state diagram terminates on a closed curve consisting of a finite number of points.
AB - The relationship between the periodicity of a two-dimensional sequence and its energy state diagram is investigated. Some examples are given which illustrate that if the initial conditions are not finite then the trajectory of the energy state diagram does not necessarily terminate on a closed curve, and conversely if the trajectory terminates on a closed curve then the sequence is not necessarily periodic. It is proven that if a two-dimensional sequence is periodic and finite initial conditions are used, then the trajectory of its energy state diagram terminates on a closed curve consisting of a finite number of points.
UR - http://www.scopus.com/inward/record.url?scp=0025628832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0025628832&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0025628832
VL - 4
SP - 2998
EP - 3001
BT - Proceedings - IEEE International Symposium on Circuits and Systems
PB - Publ by IEEE
ER -