Optimal waveform design for generalized likelihood ratio and adaptive matched filter detectors using a diversely polarized antenna

Authors:
Jun Liu;Zi-Jing Zhang;Yun Yang
Affiliations:
National Laboratory of Radar Signal Processing, Xidian University, Xi'an 710071, China;National Laboratory of Radar Signal Processing, Xidian University, Xi'an 710071, China;Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China
Venue:
Signal Processing
Year:
2012

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Abstract

In this paper, we address the performance optimization of adaptive detectors in Gaussian noise with unknown covariance matrix, based on a diversely polarized antenna (DPA). First, a general signal model is presented, where the system response is related to the characteristics of its transmitted pulses. Two adaptive detectors, i.e., generalized likelihood ratio and adaptive matched filter, are then adopted, and their expressions for the probabilities of false alarm and detection are provided. In particular, a waveform design algorithm to enhance the detection performance of both the detectors is proposed. Finally, simulation results illustrate the performance gain obtained with the proposed waveform design algorithm, i.e., by optimally selecting the polarization of the transmitted pulses of the DPA.