Title :
Reverse-Time Chaos from a Randomly Driven Filter
Author :
Corron, Ned J. ; Hayes, Scott T. ; Pethel, Shawn D. ; Blakely, Jonathan N.
Author_Institution :
U. S. Army Res., Dev. & Eng. Command, Aviation & Missile Res., Dev. & Eng. Center, Redstone Arsenal, AL
Abstract :
A linear filter driven by a random signal is shown to generate a waveform that is chaotic under time reversal. That is, the waveform exhibits determinism and a positive Lyapunov exponent when viewed backward in time. The filter is realized in a passive electronic circuit, and the resulting waveform exhibits a Lorenz-like butterfly structure. This method for generating chaotic waveforms may be useful for a number of potential applications, including spread-spectrum communication and ultra-wideband (UWB) radar. The filter also demonstrates that chaos may be connected to physical theories beyond those described by deterministic nonlinear dynamical systems
Keywords :
chaos generators; filters; waveform generators; Lorenz-like butterfly structure; chaotic waveforms generation; linear filter; passive electronic circuit; random signal; randomly driven filter; reverse-time chaos; Chaos; Chaotic communication; Electronic circuits; Nonlinear filters; Passive filters; Radar applications; Signal generators; Spread spectrum radar; Ultra wideband radar; Ultra wideband technology;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.378312
