title: Detecting recursive and nonrecursive filters using chaos.
abstract: Filtering a chaotic signal through a recursive [or infinite impulse response (IIR)] filter has been shown to increase the dimension of chaos under certain conditions. Filtering with a nonrecursive [or finite impulse response (FIR)] filter should not increase dimension, but it has been shown that if the FIR filter has a long tail, measurements of actual signals may appear to show a dimension increase. I simulate IIR and FIR filters that correspond to naturally occurring resonant objects, and I show that using dimension measurements, I can distinguish the filter type. These measurements could be used to detect resonances using radar, sonar, or laser signals, or to determine if a resonance is due to an IIR or an FIR filter.
authors.affiliation: US Naval Research Lab, Washington, DC 20375, USA. thomas.carroll@nrl.navy.mil
authors.forename: T L
authors.initials: TL
authors.lastname: Carroll
mesh_terms: D000465:Algorithms; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation