Wideband chaotic signal analysis and processing

Hector Garces Guzman, University of Texas at El Paso


This dissertation extends the work on the characterization of Chaos-Based Frequency Modulated (CBFM) signals, Chaos-Based Phase Modulated (CBPM) signals and the one-dimensional chaotic maps from which they are derived for radar imaging applications. This work is expected to contribute to broadening the frontiers of understanding in the area of high range-Doppler resolution radar imaging. For this purpose, a technique to determine analytically the invariant densities for one-dimensional chaotic maps is developed, and the condition for a minimum correlation for the one-dimensional chaotic maps is determined. Also, a signal processing approach that yields an FM signal derived from a chaotic one-dimensional map, with a spectral shape determined by the invariant pdf of the map is developed. Self-synchronization is critical in passive radar applications. Accordingly, an evaluation of the conditions for synchronization of one-dimensional chaotic maps and CBPM signals is presented.

Subject Area

Electrical engineering

Recommended Citation

Garces Guzman, Hector, "Wideband chaotic signal analysis and processing" (2007). ETD Collection for University of Texas, El Paso. AAI3262912.