
Proceedings Paper
Generation of FM signals with quasi-chirp behavior using three-dimensional chaotic flowsFormat | Member Price | Non-Member Price |
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Paper Abstract
In previous work, we constructed wideband FM signals for high range resolution applications using the non-linear
Lorenz system, which has a set of three state variables and three control parameters. The FM signals were generated
using any one of the three state variables as the instantaneous frequency which was then controlled by adjusting the
values of the parameters in the chaotic regime. We now determine the spectral characteristics of the Lorenz FM signal
and compare the spectral characteristics to those of a similar FM signal based on the Lang-Kobayashi system. We show
that for either chaotic system, the local linearity of the attractor yields an FM signal with a distinct chirp behavior.
Irrespective of the statistical independence of the chaotic flow samples, we show that the chaotic FM signal follows
Woodward's theorem in the sense that the spectrum of the FM signal follows the shape of the probability density
function of the state variable. The chirp rate of the FM signal can be controlled through a time-scale parameter that
compresses or expands the chaotic flow. As the chaotic flow evolves in time, so does the spectrum of the corresponding
FM signal, which experiences changes in center frequency and bandwidth. We show that segments of the signal with a
high chirp rate can be significantly compressed to achieve high range-Doppler resolution. The ability to change the
center frequency and the shape of the spectrum is interpreted as added frequency agility.
Paper Details
Date Published: 21 June 2011
PDF: 10 pages
Proc. SPIE 8021, Radar Sensor Technology XV, 80210V (21 June 2011); doi: 10.1117/12.884391
Published in SPIE Proceedings Vol. 8021:
Radar Sensor Technology XV
Kenneth I. Ranney; Armin W. Doerry, Editor(s)
PDF: 10 pages
Proc. SPIE 8021, Radar Sensor Technology XV, 80210V (21 June 2011); doi: 10.1117/12.884391
Show Author Affiliations
Benjamin C. Flores, The Univ. of Texas at El Paso (United States)
Chandra S. Pappu, The Univ. of Texas at El Paso (United States)
Chandra S. Pappu, The Univ. of Texas at El Paso (United States)
Berenice Verdin, The Univ. of Texas at El Paso (United States)
Published in SPIE Proceedings Vol. 8021:
Radar Sensor Technology XV
Kenneth I. Ranney; Armin W. Doerry, Editor(s)
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