Analysis of signal propagation in 1-D CNNs with the antisymmetric template

Norikazu Takahashi, Tetsuo Nishi, Hajime Hara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publication2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
Publication statusPublished - 2010
Externally publishedYes
Event2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 - Berkeley, CA, United States
Duration: Feb 3 2010Feb 5 2010

Other

Other2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
CountryUnited States
CityBerkeley, CA
Period2/3/102/5/10

Fingerprint

Cellular neural networks
Pixels

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Cite this

Takahashi, N., Nishi, T., & Hara, H. (2010). Analysis of signal propagation in 1-D CNNs with the antisymmetric template. In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 [5430264]

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 proceedingConference contribution

Takahashi, N, Nishi, T & Hara, H 2010, Analysis of signal propagation in 1-D CNNs with the antisymmetric template. in 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010., 5430264, 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010, Berkeley, CA, United States, 2/3/10.
Takahashi N, Nishi T, Hara H. Analysis of signal propagation in 1-D CNNs with the antisymmetric template. In 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010. 2010. 5430264
Takahashi, Norikazu ; Nishi, Tetsuo ; Hara, Hajime. / Analysis of signal propagation in 1-D CNNs with the antisymmetric template. 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010. 2010.
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