Chaotic sequences for noisy environments

There have been many attempts to apply chaotic signals to communications or radar, but one obstacle has been that there is no effective way to recover chaotic signals from noise larger than the signal. In this work, we create "pseudo-chaotic" signals by concatenating dictionary sequences generated from a chaotic attractor. Because the number of dictionary sequences is finite, these pseudo-chaotic signals are not actually chaotic, but they can still contain some of the desirable properties of chaos. Using dictionary sequences allows the pseudo-chaotic signal to be recovered from noise using a correlation detector and a Viterbi decoder, so the signal can be recovered from noise or interference that is larger than the signal itself.