Tracking multiple chaotic systems from a single observed sequence

Abstract

Sequences generated by by chaotic systems have been proposed as replacements for the traditional pseudo-noise sequences used in direct-sequence spread spectrum systems. Such systems often require that the receiver maintain synchronization by tracking the sequence generated by the transmitter. A method previously introduced to track the state of a chaotic system from an observed sequence is extended to track the states of multiple, independent chaotic systems, again based on a single observed sequence. One possible use of this scheme might be in a modified code-division multiplexing arrangement where the "codes" are actually the outputs of chaotic systems.<>