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 capacity and the error correction ability of the model are analysed. The storage capacity ratio of the presented model equals that of the Hopfield model. This 16-state neural network can be applied to recognize 16-level gray or color patterns