THE HAMILTON NEURAL-NETWORK MODEL

In this paper, the Dirac symbol is used to represent a neural network, and a discrete Hamilton neural network model with a 16-state (+/- 1 /- i +/- j +/- k) neuron has been presented. By using signal-to-noise theory and computer numerical simulation, the stability, the storage c apacity and the error correction ability of the model are analysed. Th e storage capacity ratio of the presented model equals that of the Hop field model, This 16-state neural network can be applied to recognize 16-level gray or color patterns.