A Minimum Phase Space Distance method for the demodulation of M-ary chaotic parameter modulation

An M-ary modulation scheme for chaotic spread spectrum communication is proposed by employing a generalized tent map to modulate binary messages. Binary bit streams are represented by noise-like and broadband chaotic sequences generated from a generalized tent map with different parameter sets. Due to the broad parameter range that can drive this kind of generalized tent map to chaotic behavior, multiple bits can be represented by one chaotic sequence with a specific parameter set. The original binary message is recovered by a minimum phase space distance (MPSD) algorithm to determine the parameters of the received noise contaminated chaotic sequence, thus extract the binary message by matching the parameter sets with the corresponding binary bit stream.