A closed-form expression for false alarm rate of adaptive MIMO-GLRT detector with distributed MIMO radar

In this paper, we consider the detection problem in Gaussian noise using a multiple-input-multiple-output (MIMO) radar with spatially dispersed antennas. A MIMO version of generalized likelihood ratio test detector is provided, which is referred to as MIMO-GLRT detector. A closed-form expression for the probability of false alarm of this MIMO-GLRT detector is derived. This theoretical result is confirmed with Monte Carlo simulations.

[1]  Mir M. Ali,et al.  Distribution of linear combination of exponential variates , 1982 .

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

[3]  Daniel R. Fuhrmann,et al.  A CFAR adaptive matched filter detector , 1992 .

[4]  Antonio De Maio,et al.  Rao Test for Adaptive Detection in Gaussian Interference With Unknown Covariance Matrix , 2007, IEEE Transactions on Signal Processing.

[5]  Hongbin Li,et al.  Transmit Subaperturing for MIMO Radars With Co-Located Antennas , 2010, IEEE Journal of Selected Topics in Signal Processing.

[6]  Sandeep Gogineni,et al.  Game theoretic design for polarimetric MIMO radar target detection , 2012, Signal Process..

[7]  Hong Wang,et al.  Polarization-space-time domain generalized likelihood ratio detection of radar targets , 1995, Signal Process..

[8]  Yun Yang,et al.  Optimal waveform design for generalized likelihood ratio and adaptive matched filter detectors using a diversely polarized antenna , 2012, Signal Process..

[9]  A. De Maio,et al.  Design principles of MIMO radar detectors , 2006, 2006 International Waveform Diversity & Design Conference.

[10]  Ali Zamani,et al.  Temporal coherent adaptive target detection for multi-input multi-output radars in clutter , 2008 .

[11]  Hongbin Li,et al.  Moving Target Detection Using Distributed MIMO Radar in Clutter With Nonhomogeneous Power , 2011, IEEE Transactions on Signal Processing.

[12]  L.J. Cimini,et al.  MIMO Radar with Widely Separated Antennas , 2008, IEEE Signal Processing Magazine.

[13]  P. Stoica,et al.  MIMO Radar Signal Processing , 2008 .

[14]  Hongwei Liu,et al.  Target spatial and frequency scattering diversity property for diversity MIMO radar , 2011, Signal Process..

[15]  C. Y. Chong,et al.  Robust MIMO radar detection for correlated subarrays , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[16]  Alexander M. Haimovich,et al.  Spatial Diversity in Radars—Models and Detection Performance , 2006, IEEE Transactions on Signal Processing.

[17]  Sandeep Gogineni,et al.  Polarimetric MIMO Radar With Distributed Antennas for Target Detection , 2009, IEEE Transactions on Signal Processing.

[18]  Marc Lesturgie,et al.  Properties of robust MIMO detector , 2010, 2010 18th European Signal Processing Conference.

[19]  Hongwei Liu,et al.  Adaptive MIMO radar target parameter estimation with Kronecker-product structured interference covariance matrix , 2012, Signal Process..

[20]  Jian Li,et al.  MIMO Radar with Colocated Antennas , 2007, IEEE Signal Processing Magazine.

[21]  J. Wolfowitz,et al.  Introduction to the Theory of Statistics. , 1951 .

[22]  Hongwei Liu,et al.  Exact Performance Analysis of an Adaptive Subspace Detector , 2012, IEEE Transactions on Signal Processing.

[23]  Giuseppe Ricci,et al.  A polarimetric adaptive matched filter , 2001, Signal Process..

[24]  Qian He,et al.  MIMO Radar Moving Target Detection in Homogeneous Clutter , 2010, IEEE Transactions on Aerospace and Electronic Systems.