QUANTUM CHAOTIC WAVE PACKET DIGITAL SIGNAL GENERATING METHOD

A method for generating digital quantum chaotic orthonormal wavepacket signals is provided in the present invention. The method comprises through the following steps sequentially: construct an N-dimensional Hermitian matrix Ĥ; calculate N eigen-wavefunctions ϕj of a quantum Hamiltonian system with the Hamiltonian Ĥ by some numerical calculation methods; extract some or all of the eigen- functions ϕj with obvious chaos features as quantum chaotic eigen-wavefunctions according to a chaos criterion ; generate some semi-classical digital quantum chaotic wavepacket signals ϕj(n) with the same mathematical form and length N from the selected quantum chaotic eigen-wavefunctions according to the mathematical correspondence between the classical signal and the wavefunction in quantum mechanics. By combining the quantum state chaotic transition theory and the classical time-frequency analysis, some semi-classical quantum chaotic wavepacket digital signals are generated according to the mathematical correspondence between the classical time-frequency signal and the wavefunction in quantum mechanics. These semi-classical quantum chaotic wavepacket digital signals not only have the almost identical features to the classical chaotic ones, but also have the unique splitting spectrum characteristic.