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

fYear

2007

fDate

27-30 May 2007

Firstpage

205

Lastpage

208

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISCAS.2007.378312

Filename

4252607