Abstract
This paper studies some fundamental properties on signal propagation in one-dimensional cellular neural networks with the antisymmetric template under the assumption that the initial output has only one connected component. A new sufficient condition for the component to propagate without attenuation is derived through theoretical analysis. It is also proved that under the same condition the final output is a black-and-white image having only one black at the right-most pixel, which means that the network can perform connected component detection when the input image has only one connected component.
| Original language | English |
|---|---|
| Title of host publication | 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 - Berkeley, CA, United States Duration: Feb 3 2010 → Feb 5 2010 |
Other
| Other | 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 |
|---|---|
| Country | United States |
| City | Berkeley, CA |
| Period | 2/3/10 → 2/5/10 |
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ASJC Scopus subject areas
- Computer Networks and Communications
- Electrical and Electronic Engineering
Cite this
Analysis of signal propagation in 1-D CNNs with the antisymmetric template. / Takahashi, Norikazu; Nishi, Tetsuo; Hara, Hajime.
2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010. 2010. 5430264.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Analysis of signal propagation in 1-D CNNs with the antisymmetric template
AU - Takahashi, Norikazu
AU - Nishi, Tetsuo
AU - Hara, Hajime
PY - 2010
Y1 - 2010
N2 - This paper studies some fundamental properties on signal propagation in one-dimensional cellular neural networks with the antisymmetric template under the assumption that the initial output has only one connected component. A new sufficient condition for the component to propagate without attenuation is derived through theoretical analysis. It is also proved that under the same condition the final output is a black-and-white image having only one black at the right-most pixel, which means that the network can perform connected component detection when the input image has only one connected component.
AB - This paper studies some fundamental properties on signal propagation in one-dimensional cellular neural networks with the antisymmetric template under the assumption that the initial output has only one connected component. A new sufficient condition for the component to propagate without attenuation is derived through theoretical analysis. It is also proved that under the same condition the final output is a black-and-white image having only one black at the right-most pixel, which means that the network can perform connected component detection when the input image has only one connected component.
UR - http://www.scopus.com/inward/record.url?scp=77952369281&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77952369281&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9781424466795
BT - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
ER -