Generation of high-range resolution radar signals using the Lorenz chaotic flow

Chandra S. Pappu; Benjamin C. Flores

doi:10.1117/12.849768

26 April 2010 Generation of high-range resolution radar signals using the Lorenz chaotic flow

Proceedings Volume 7669, Radar Sensor Technology XIV; 76690T (2010) https://doi.org/10.1117/12.849768
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

Abstract

We propose a novel approach to generate chaotic Frequency Modulated (FM) signals with potential applications in highresolution radar imaging. The technique relies on the output of an n-dimensional (n>2) non-linear system that exhibits chaotic behavior. For simplicity, we have chosen the Lorenz system which has a set of three state variables x, y and z, and three control parameters ρ, β, and σ. FM signals are generated using any one of the state variables as the instantaneous frequency by varying the values of ρ and β. The obtained FM signal is ergodic and stationary and the time samples exhibit an invariant probability density function. The corresponding pseudo-phase orbits reveal themselves as a strange attractor that may take on the shape of a Mobius strip depending on the time evolution of the signal. A timefrequency analysis of the signal shows that the spectrum is centered on a time-dependent carrier frequency. Thus, the FM signal has a high time-bandwidth product similar to that of a chirp. However, the carrier frequency continuously shifts in a linear or quadratic pattern over a finite frequency range. A desirable feature of the signal is that the width of its autocorrelation's mainlobe approaches the reciprocal of the bandwidth. Furthermore, simulations show that the average of the time autocorrelation falls quickly and is void of sidelobes.

Citation Download Citation

Chandra S. Pappu and Benjamin C. Flores "Generation of high-range resolution radar signals using the Lorenz chaotic flow", Proc. SPIE 7669, Radar Sensor Technology XIV, 76690T (26 April 2010); https://doi.org/10.1117/12.849768

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available