Discrete wave machine and Fourier transform

Abstract

In the biological neural network, the interaction and communication among neurons can be thought of as a kind of wave correlation, which is the basic idea of the discrete wave machine. A discrete wave machine is described by a complex state space. An energy function of a discrete wave machine with the Hermitian connection determines the convergence of the state evolution and the points of memory. The discrete Fourier transform is directly described by a discrete wave machine with a special connection.<>