Technique for controlling the symbolic dynamics of chaotic systems to generate digital communications waveforms
AssigneeThe United States of America as represented by the Secretary of the Army
InventorScott T. Hayes
Life of this patent
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Abstract
A method and apparatus for encoding information on a chaotic system by causing tiny perturbations in an accessible system control variable, or trajectory, uses the natural underlying symbolic dynamics of the system to encode the information. The system is allowed to behave chaotically even while tracking a pre-specified information-containing symbol sequence, thus maximizing the efficiency of information encoding and transmission.
Claims15
Apparatus for encoding information in a chaotic oscillation, wherein small variations in a control parameter of an oscillator causes changes in the oscillation without changing the chaotic behaviour of the oscillation and wherein iteration of variables of the oscillation forms an attractor, comprising:
- means for generating a map of phase space trajectories of the variables of the oscillation along a section of the attractor;
- means for designating windows along said section and assigning symbols to said windows;
- and
- means for varying said control parameter of said oscillation to cause said trajectories to pass through selected ones of said windows.
A method for encoding information in a chaotic oscillation, small variations in a control parameter of the oscillation causing changes in divergence of the oscillation about at least one focus without changing the chaotic behavior of the oscillation such that iteration of variables of the oscillation form an attractor, comprising the steps of:
- (a) generating a map of sampled phase space trajectories of the variables of the oscillation along a section of the attractor;
- (b) designating windows along said section and assigning symbols to said windows;
- and
- (c) varying said control parameter of said oscillator to cause said trajectories to pass through selected ones of said windows.
Dependencies are inferred from the claim text.