Abstract
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 sub-harmonics. 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.