Pseudo-chaotic communication method exploiting symbolic dynamics

A data coding and decoding method, the method comprising steps of:

• accepting digital data for coding;
• pseudo-chaotically coding the digital data by applying a chaotic map having N states;
• converting the pseudo-chaotically coded data to analog form;
• modulating the pseudo-chaotically coded data to produce a modulated signal;
• transmitting the modulated signal over a channel;
• receiving, at a receiver, a signal from the channel;
• decoding the pseudo-chaotically coded data from the signal, the decoding comprising Viterbi detection matched to the chaotic map with N or fewer than N states.

A data coding system comprising:

• a pseudo-chaotic data encoder for pseudo-chaotically encoding digital data, the pseudo-chaotic data encoder comprising a shift register for shifting the digital data and a digital signal processor for translating shifted digital data according to a selected chaotic map;
• a digital to analog converter for converting the pseudo-chaotically shifted and translated digital data;
• a modulator for modulating output of the digital to analog converter for transmission on a communication channel;
• and
• a receiver for demodulating and decoding the pseudo-chaotically coded data from the signal, the decoding comprising Viterbi detection matched to the chaotic map with N or fewer than N states.