Design of Four-wave Oscillating Cellular-Neural-Network

This paper proposes a method to analyze the behavior of the oscillating CNN (Cellular-Neural-Networks), and develops a way to design this system of Four-waves. After investigating the behaviors of the CNN cells, it provides a simplified model named One-cell model to calculate the frequency and the amplitude of the oscillating wave. And it finds a way to make CNN cells synchronized with fewer subharmonics. Then a method is presented to design the four-wave CNN array. Some corresponding simulation results are present to demonstrate the consistence between the results calculated mathematically and those simulated with SPICE. Simulation results on the designed 32 × 32 CNN array demonstrates that the designed system can synchronize well with four waves.

[1]  Eugenio Di Sciascio,et al.  New object-oriented segmentation algorithm based on the CNN paradigm , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  Zbigniew Galias,et al.  Influence of system non-uniformity on dynamic phenomena in arrays of coupled nonlinear networks , 2002, Proceedings of the 2002 7th IEEE International Workshop on Cellular Neural Networks and Their Applications.

[3]  Christian Viard-Gaudin,et al.  A Convolutional Neural Network Approach for Objective Video Quality Assessment , 2006, IEEE Transactions on Neural Networks.

[4]  L. Chua.  Nonlinear circuit foundations for nanodevices. I. The four-element torus , 2003 .

[5]  Jacek M. Zurada,et al.  Cellular Neural Networks With Transient Chaos , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Norikazu Takahashi,et al.  Necessary and Sufficient Condition for a Class of Planar Dynamical Systems Related to CNNs to be Completely Stable , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.