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Ziv-Zakai Bound Applied to an Amplitude-Comparison Monopulse Radar
AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
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This investigation estimates the target off-boresight of a monopulse radar, generates an error signal, and excites a servo system to reposition the boresight on target, thus providing target tracking. Cramer-Rao and Ziv-Zakai ZZ bounds are derived to indicate system performance under varying signal-to- noise ratio SNR conditions. Actual tracking error is approximated from a computer simulation and compared to the CR and ZZ bounds for varying SNR levels, for tracking in slow and rapid target fluctuation environments, and for tracking in the presence of specular and diffuse multipath. A two-dimensional tracking model and associated performance bound are also presented. At high SNR levels, the CR bound results lower bounded the mean-square tracking error MSE, but for low SNR conditions the CR bound results exceeded the MSE. The ZZ bound results indicate a tight lower bounds for the MSE at low SNR levels and in both the multipath and target fluctuation environments. Slow target fluctuations and diffuse multipath results indicate that target tracking capability is not seriously degraded in either of these two surroundings.
APPROVED FOR PUBLIC RELEASE