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Adaptive detection for distributed targets in Gaussian noise with Rao and Wald tests

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Abstract

The problem of adaptively detecting a range distributed target or targets in Gaussian interference is considered in this paper. It is assumed that a set of secondary data is available. Firstly, we derive the adaptive Rao and Wald tests with one-step detection algorithm, and find that both of them are of the same asymptotic performance as the GLRT one. Secondly, the Rao and Wald tests are derived by resorting to the two-step design strategy. To our surprise, our derivations show that all the Rao, Wald and GLR tests in the two-step design strategy are equivalent. Thirdly, the property assessments are presented. It is shown that these new detectors guarantee CFAR property with respect to the Gaussian noise. Finally, simulation results show that these results are accurate.

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Authors and Affiliations

  1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    XiaoFei Shuai, LingJiang Kong & JianYu Yang

Authors
  1. XiaoFei Shuai
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  2. LingJiang Kong
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  3. JianYu Yang
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Correspondence to LingJiang Kong.

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Shuai, X., Kong, L. & Yang, J. Adaptive detection for distributed targets in Gaussian noise with Rao and Wald tests. Sci. China Inf. Sci. 55, 1290–1300 (2012). https://doi.org/10.1007/s11432-011-4417-2

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  • DOI: https://doi.org/10.1007/s11432-011-4417-2

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