Illumination Waveform Design for Non-Gaussian Multi-Hypothesis Target Classification in Cognitive Radar
Wang, Ke Nan
Clark, Grace A.
Romero, Ric A.
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A cognitive radar (CR) system is one that observes and learns from the environment, then uses a dynamic closed-loop feedback mechanism to adapt the illumination waveform so as to provide system performance improvements over traditional radar systems. A CR system that performs multiple hypothesis target classification and exploits the spectral sparsity of correlated narrowband target responses to achieve significant performance improvements over traditional radars that use wideband illumination pulses was recently developed. This CR system, which was designed for Gaussian target responses, is extended to non-Gaussian targets. In this thesis, the CR system is generalized to deal effectively with arbitrary non-Gaussian distributed target responses via two key contributions (1) an important statistical expected value operation that is usually evaluated in closed form is evaluated numerically using an ensemble averaging operation, and (2) a powerful new statistical sampling algorithm and a kernel density estimator are applied to draw complex target samples from target distributions specified by both a desired power spectral density and an arbitrary desired probability density function. Simulations using non-Gaussian targets demonstrate very effective algorithm performance. As expected, this performance gain is realized at the expense of increased computational complexity.
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