Nonlinear digital communications system

A communication system for communicating an information signal through a space having noise characterized at any instant by a chaotic attractor comprising:

• a transmitter to approximate the chaotic attractor for the noise using a predetermined algorithm by perturbation of the phase space bounding the noise, to combine the chaotic attractor with the information signal, and to transmit the combined signal into the space;
• and
• a receiver, in electrical communication with the transmitter via the space, to also approximate the chaotic attractor for the noise using the same predetermined algorithm by perturbation of the phase space bounding the noise, to receive the combined signal, and to separate the information signal from the combined signal using the chaotic attractor approximately by the receiver.

A transmitter for applying a desired message to a channel comprising:

• a carrier generator to derive a probability that a given bounded condition corresponding to a self-sustaining noise component will exist on the channel when the desired message is applied, derived by perturbation of the phase space bounding the noise component on the channel, and;
• a mixer to modulate the desired message based on the given bounded condition.

A transmitter and receiver communicating over a common channel, each independently deriving a probability that a bounded condition corresponding to a self-sustaining noise component on the channel will exist on the channel at a given time, wherein:

• the transmitter includes a modulator to modulate a desired message onto the channel at the given time based on the probable bounded condition independently derived by the transmitter to exist on the channel at the given time obtained by perturbation of the phase space bounding the self-sustaining noise component on the channel, and
• the receiver includes a demodulator to demodulate the desired message from the channel based on the probable bounded condition independently derived by the receiver to exist on the channel at the given time also obtained by perturbation of the phase space bounding the self-sustaining noise component on the channel.

A receiver for use with a transmitter communicating with the receiver over a common channel and providing a desired signal onto the channel using a modulation method derived by a probability that a bounded condition corresponding to a self-sustaining noise component on the channel will exist on the channel at a given time, wherein:

• the receiver includes a demodulator to demodulate the desired message from the channel based on a probable bounded condition independently derived by the receiver to exist on the channel at the same given time, said condition derived by perturbation of the phase space bounding the self-sustaining noise component on the channel.

A method of communicating a message along a conduit having naturally occurring and self-sustaining noise components inherently thereon, the method comprising:

• independently anticipating at both input and output ends of the conduit a probable noise component at a particular instant by perturbing the phase space bounding the noise component on the conduit;
• encoding and retrieving the message on the conduit with a carrier derived from the independently anticipated probable noise components.

A system for communicating signals over a channel, comprising:

• means for resolving inherent interference existing on the channel by means of a chaotic attractor by deriving separable solutions of interference obtaining by perturbation of a phase space bounding the interference on the channel;
• and
• means for encoding the signals to be communicated based on the chaotic attractor.