Adaptive Detection of a Subspace Signal in Structured Random Interference Plus Thermal Noise

T.W. Anderson, An introduction to multivariate statistical analysis (Wiley, New York, 2003)

A. Aubry, A. De Maio, D. Orlando, M. Piezzo, Adaptive detection of point-like targets in the presence of homogeneous clutter and subspace interference. IEEE Signal Process. Lett. 21(7), 848–852 (2014)

F. Bandiera, O. Besson, D. Orlando, G. Ricci, L.L. Scharf, GLRT-based direction detectors in homogeneous noise and subspace interference. IEEE Trans. Signal Process. 55(6), 2386–2394 (2007)

F. Bandiera, O. Besson, G. Ricci, Direction detector for distributed targets in unknown noise and interference. Electron. Lett. 49(1), 68–69 (2013)

F. Bandiera, A. De Maio, A.S. Greco, G. Ricci, Adaptive radar detection of distributed targets in Homogeneous and partially Homogeneous noise plus subspace interference. IEEE Trans. Signal Process. 55(4), 1223–1237 (2007)

S. Bose, A.O. Steinhardt, Adaptive array detection of uncertain rank one waveforms. IEEE Trans. Signal Process. 44(11), 2801–2809 (1996)

O. Besson, L.L. Scharf, S. Kraut, Adaptive detection of a signal known only to lie on a line in a known subspace, when primary and secondary data are partially homogeneous. IEEE Trans. Signal Process. 54(12), 4698–4705 (2006)

D. Ciuonzo, A. De Maio, D. Orlando, A unifying framework for adaptive radar detection in homogeneous plus structured interference—part I: on the maximal invariant statistic. IEEE Trans. Signal Process. 64(11), 2894–2906 (2016)

D. Ciuonzo, A. De Maio, D. Orlando, A unifying framework for adaptive radar detection in homogeneous plus structured interference—part II: detectors design. IEEE Trans. Signal Process. 64(11), 2907–2919 (2016)

D. Ciuonzo, A. De Maio, D. Orlando, On the statistical invariance for adaptive radar detection in partially homogeneous disturbance plus structured interference. IEEE Trans. Signal Process. 65(5), 1222–1234 (2017)

G.L. Cui, L.J. Kong, X.B. Yang, GLRT-based detection algorithm for polarimetric MIMO radar against SIRV clutter. Circuits Syst. Signal Process. 31(3), 1033–1048 (2012)

G.L. Cui, L.J. Kong, X.B. Yang, Performance analysis of colocated MIMO radars with randomly distributed arrays in compound-Gaussian clutter. Circuits Syst. Signal Process. 31(4), 1407–1422 (2012)

G.L. Cui, L.J. Kong, X.B. Yang, J.Y. Yang, The Rao and Wald tests designed for distributed targets with polarization MIMO radar in compound-Gaussian clutter. Circuits Syst. Signal Process. 31(1), 237–254 (2012)

D. Ciuonzo, D. Orlando, L. Pallotta, On the maximal invariant statistic for adaptive radar detection in partially homogeneous disturbance with persymmetric covariance. IEEE Signal Process. Lett. 23(12), 1830–1834 (2016)

A. De Miao, A new derivation of the adaptive matched filter. Signal Process. Lett. 11(10), 792–793 (2004)

A. De Maio, Rao test for adaptive detection in Gaussian interference with unknown covariance matrix. IEEE Trans. Signal Process. 55(7), 3577–3584 (2007)

A. De Maio, D. Orlando, Adaptive radar detection of a subspace signal embedded in subspace structured plus Gaussian interference via invariance. IEEE Trans. Signal Process. 64(8), 2156–2167 (2016)

A. De Maio, D. Orlando, I. Soloveychik, A. Wiesel, Invariance theory for adaptive detection in interference with group symmetric covariance matrix. IEEE Trans. Signal Process. 64(23), 6299–6312 (2016)

A. De Maio, G. Ricci, A polarimetric adaptive matched filter. Signal Process. 81, 2583–2589 (2001)

Y. Fujikoshi, V.V. Ulyanov, R. Shimizu, Multivariate statistics: high-dimensional and large-sample approximations (Wiley, Hoboken, 2010)

Y.C. Gao, H.B. Ji, W.J. Liu, Persymmetric adaptive subspace detectors for range-spread targets. Digit. Signal Process. 89, 116–123 (2019)

D.A. Harville, Matrix algebra from a statistician’s perspective (Springer, New York, 1997)

M. Hurtado, A. Nehorai, Polarimetric detection of targets in heavy inhomogeneous clutter. IEEE Trans. Signal Process. 56(4), 1349–1361 (2008)

C. Hao, J. Yang, X. Ma, C. Hou, D. Orlando, Adaptive detection of distributed targets with orthogonal rejection. IET Radar Sonar Navig. 6(6), 483–493 (2012)

T. Jian, Y. He, F. Su, C. Qu, Adaptive range-spread target detection based on modified generalised likelihood ratio test in non-Gaussian clutter. IET Radar Sonar Navig. 5(9), 970–977 (2011)

E.J. Kelly, An adaptive detection algorithm. IEEE Trans. Aerosp. Electron. Syst. 22(1), 115–127 (1986)

S. Kraut, L.L. Scharf, R.W. Butler, The adaptive coherence estimator: a uniformly most powerful invariant adaptive detection statistic. IEEE Trans. Signal Process. 53(2), 427–438 (2005)

N. Li, G.L. Cui, L.J. Kong, X.B. Yang, MIMO radar moving target detection against compound-Gaussian clutter. Circuits Syst. Signal Process. 33(6), 1819–1839 (2014)

W.J. Liu, H. Han, J. Liu, H.L. Li, K. Li, Y.L. Wang, Multichannel radar adaptive signal detection in interference and structure nonhomogeneity. Sci. China Inf. Sci. 60(11), 112302 (2017)

J. Liu, J.W. Han, W.J. Liu, S.W. Xu, Z.J. Zhang, Persymmetric Rao test for MIMO radar in Gaussian disturbance. Signal Process. 165, 30–36 (2019)

H.B. Li, Y. Jiang, J. Fang, M. Rangaswamy, Adaptive subspace signal detection with uncertain partial prior knowledge. IEEE Trans. Signal Process. 65(16), 4394–4405 (2017)

J. Liu, W.J. Liu, B. Chen, H.W. Liu, H.B. Li, C.P. Hao, Modified Rao test for multichannel adaptive signal detection. IEEE Trans. Signal Process. 64(3), 714–725 (2016)

W.J. Liu, J. Liu, L. Huang, D. Zou, Y. Wang, Rao tests for distributed target detection in interference and noise. Signal Process. 117, 333–342 (2015)

W.J. Liu, J. Liu, H. Li, Q.L. Du, Y.L. Wang, Multichannel signal detection based on Wald test in subspace interference and Gaussian noise. IEEE Trans. Aerosp. Electron. Syst. 55(3), 1370–1381 (2019)

J. Liu, S.Y. Sun, W.J. Liu, One-step persymmetric GLRT for subspace signals. IEEE Trans. Signal Process. 67(14), 3639–3648 (2019)

W.J. Li, H.B. Tong, K. Li, Y. Yang, W.J. Liu, Wald tests for direction detection in noise and interference. Multidimens. Syst. Sign. Process. 29(4), 1563–1577 (2018)

H.L. Li, H. Wang, H. Han, H.Y. Dai, W.J. Liu, Performance analysis of adaptive detectors for a distributed target based on subspace model. Circuits Syst. Signal Process. 37(6), 2651–2664 (2018)

W.J. Liu, W.C. Xie, J. Liu, Y.L. Wang, Adaptive double subspace signal detection in Gaussian background—part I: homogeneous environments. IEEE Trans. Signal Process. 62(9), 2345–2357 (2014)

W.J. Liu, W.C. Xie, J. Liu, Y.L. Wang, Adaptive double subspace signal detection in Gaussian background—part II: partially homogeneous environments. IEEE Trans. Signal Process. 62(9), 2358–2369 (2014)

W.J. Liu, W.C. Xie, J. Liu, D.J. Zou, H.L. Wang, Y.L. Wang, Detection of a distributed target with direction uncertainty. IET Radar Sonar Navig. 8(9), 1177–1183 (2014)

N. Li, H.N. Yang, G.L. Cui, L.J. Kong, Q.H. Liu, Adaptive two-step Bayesian MIMO detectors in compound-Gaussian clutter. Signal Process. 161, 1–13 (2019)

J. Liu, Z. Zhang, Y. Cao, M. Wang, Distributed target detection in subspace interference plus Gaussian noise. Signal Process. 95, 88–100 (2014)

S.W. Lei, Z.Q. Zhao, Z.P. Nie, Analyses of the performance of adaptive subspace detector on fluctuating target detection in system-dependent clutter background. IET Radar Sonar Navig. 10(9), 1635–1642 (2017)

S.W. Lei, Z.Q. Zhao, Z.P. Nie, Q.H. Liu, A CFAR adaptive subspace detector based on a single observation in system-dependent clutter background. IEEE Trans. Signal Process. 62(20), 5260–5269 (2014)

J. Liu, Z.J. Zhang, Y. Yang, H. Liu, A CFAR adaptive subspace detector for first-order or second-order Gaussian signals based on a single observation. IEEE Trans. Signal Process. 59(11), 5126–5140 (2011)

H.R. Park, J. Li, H. Wang, Polarization-space-time domain generalized likelihood ratio detection of radar targets. Signal Process. 41, 153–164 (1995)

F.C. Robey, D.R. Fuhrmann, E.J. Kelly, R. Nitzberg, A CFAR adaptive matched filter detector. IEEE Trans. Aerosp. Electron. Syst. 28(1), 208–216 (1992)

G.A.F. Seber, The non-central Chi squared and Beta distributions. Biometrika 50(3/4), 542–544 (1963)

L.L. Scharf, Statistical signal processing: detection estimation and time series analysis (Addison, Boston, 1991)

A.H. Sayed, Fundamentals of adaptive filtering (Wiley, New York, 2003)

G.H. Sun, Z.S. He, Y.L. Zhang, Distributed airborne MIMO radar detection in compound-Gaussian clutter without training data. Circuits Syst. Signal Process. 37(10), 4617–4636 (2018)

Z.R. Shang, X. Li, Y.X. Liu, Y.L. Wang, W.J. Liu, GLRT detector based on knowledge aided covariance estimation in compound Gaussian environment. Signal Process. 155, 377–383 (2019)

L.L. Scharf, M. McCloud, Blind adaptation of zero forcing projections and oblique pseudo-inverses for subspace detection and estimation when interference dominates noise. IEEE Trans. Signal Process. 50(12), 2938–2946 (2002)

I. Soloveychik, A. Wiesel, Group symmetric robust covariance estimation. IEEE Trans. Signal Process. 64(1), 244–257 (2016)

M. Tang, Y. Rong, J. Zhou, X.R. Li, Invariant adaptive detection of range-spread targets under structured noise covariance. IEEE Trans. Signal Process. 65(12), 3048–3061 (2017)

Z. Wang, M. Li, H. Chen, L. Zuo, P. Zhang, Y. Wu, Adaptive detection of a subspace signal in signal-dependent interference. IEEE Trans. Signal Process. 65(18), 4812–4820 (2017)

Y.K. Wang, W. Xia, Z.S. He, H.B. Li, A.P. Petropulu, Polarimetric detection in compound Gaussian clutter with kronecker structured covariance matrix. IEEE Trans. Signal Process. 65(17), 4562–4576 (2017)

Z.Z. Wang, Z.Q. Zhao, C.H. Ren, Z.P. Nie, CFAR subspace detectors with multiple observations in system-dependent clutter background. Signal Process. 153, 58–70 (2018)

Z.Z. Wang, Z.Q. Zhao, C.H. Ren, Z.P. Nie, Adaptive GLR-, Rao- and Wald-based CFAR detectors for a subspace signal embedded in structured Gaussian interference. Digit. Signal Process. 92, 139–150 (2019)

Z.Z. Wang, Z.Q. Zhao, C.H. Ren, Z.P. Nie, W. Yang, Adaptive detection of point-like targets based on a reduced-dimensional data model. Signal Process. 158, 36–47 (2019)