A Persymmetric GLRT for Adaptive Detection in Partially-Homogeneous Environment

This letter deals with the problem of adaptive detection in Gaussian disturbance with unknown but persymmetric structured covariance matrix. A partially-homogeneous environment is considered at the design stage, and a receiver based on the generalized likelihood ratio test (GLRT) is derived. At the analysis stage, the performance of the new receiver is assessed, also in comparison with the unstructured GLRT, showing that the a-priori information on the covariance structure can lead to a noticeable performance improvement.

[1]  E J Kelly,et al.  Adaptive Detection and Parameter Estimation for Multidimensional Signal Models , 1989 .

[2]  E. J. Kelly.  An Adaptive Detection Algorithm , 1986, IEEE Transactions on Aerospace and Electronic Systems.

[3]  W.L. Melvin,et al.  Analyzing space-time adaptive processors using measured data , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[4]  A. Gualtierotti.  H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[5]  Ramon Nitzberg.  Application of Maximum Likelihood Estimation of Persymmetric Covariance Matrices to Adaptive Processing , 1980, IEEE Transactions on Aerospace and Electronic Systems.

[6]  H. Wang,et al.  A persymmetric multiband GLR algorithm , 1992 .

[7]  Louis L. Scharf,et al.  The CFAR adaptive subspace detector is a scale-invariant GLRT , 1999, IEEE Trans. Signal Process..

[8]  Marco Lops,et al.  Asymptotically optimum radar detection in compound-Gaussian clutter , 1995 .

[9]  M. Melamed.  Detection , 2021, SETI: Astronomy as a Contact Sport.

[10]  L. Scharf,et al.  The CFAR adaptive subspace detector is a scale-invariant GLRT , 1998, Ninth IEEE Signal Processing Workshop on Statistical Signal and Array Processing (Cat. No.98TH8381).

[11]  Giuseppe Ricci,et al.  GLRT-based adaptive detection algorithms for range-spread targets , 2001, IEEE Trans. Signal Process..