Ziv-Zakai Bound Applied to an Amplitude-Comparison Monopulse Radar

摘要

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.