A cumulant-based adaptive technique for coherent radar detection in a mixture of K-distributed clutter and Gaussian disturbance

In this paper, we consider the problem of radar signal detection in the presence of disturbance, which is assumed to be a mixture of coherent K-distributed and Gaussian distributed clutter. Besides, thermal noise, which is always present in the radar receiver, has been considered. The optimum detector is determined by thresholding an appropriate likelihood ratio test. To properly operate in an interference environment of unknown correlation, the optimum detector needs to adaptively estimate from the data the statistical properties of the interferences. Second-order spectral analysis is unable to separately estimate the correlation structure of K-distributed and Gaussian distributed clutter sources. Their separate estimation can be accomplished only in higher order spectrum domain. To reach this goal, an adaptive algorithm based on second- and higher order cumulants is proposed that removes these drawbacks and is able to operate in an environment of unknown correlation structure. The performance of the adaptive processing scheme has been evaluated by means of Monte Carlo simulations.

[1]  Georgios B. Giannakis,et al.  Time-domain tests for Gaussianity and time-reversibility , 1994, IEEE Trans. Signal Process..

[2]  Pierfrancesco Lombardo,et al.  Effect of noise on order parameter estimation for K-distributed clutter , 1995 .

[3]  A. Farina,et al.  Coherent radar dettection of signals with unknown parameters against a combination of K-distributed and gaussian clutter , 1995 .

[4]  Jerry M. Mendel,et al.  The constrained total least squares technique and its applications to harmonic superresolution , 1991, IEEE Trans. Signal Process..

[5]  A. Farina,et al.  Coherent radar detection of targets against a combination of K-distributed and Gaussian clutter , 1995, Proceedings International Radar Conference.

[6]  E. Conte,et al.  Characterization of radar clutter as a spherically invariant random process , 1987 .

[7]  Georgios B. Giannakis,et al.  A unifying maximum-likelihood view of cumulant and polyspectral measures for non-Gaussian signal classification and estimation , 1992, IEEE Trans. Inf. Theory.

[8]  Brian M. Sadler,et al.  Noise subspace techniques in non-gaussian noise using cumulants , 1995 .

[9]  A. Farina,et al.  Radar detection of targets: new theoretical findings and results by processing recorded live data , 1996, Proceedings of International Radar Conference.

[10]  Bernard C. Picinbono,et al.  On circularity , 1994, IEEE Trans. Signal Process..

[11]  A. Farina,et al.  Radar detection of targets located in a coherent K distributed clutter background , 1992 .

[12]  C. Baker,et al.  Maritime surveillance radar Part 1 : Radar scattering from the ocean surface , 1990 .

[13]  A. Farina,et al.  Modelling of a mixture of K-distributed and Gaussian clutter for coherent radar detection , 1994 .

[14]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[15]  Marco Lops,et al.  Radar detection of signals with unknown parameters in K-distributed clutter , 1991 .

[16]  R. S. Raghavan,et al.  A method for estimating parameters of K-distributed clutter , 1991 .

[17]  F. Sakaguchi,et al.  A spectrum Separation Method for the Sum of Two Non-Gaussian Stationary Time Series Using Higher Order Periodograms , 1987 .

[18]  K. Ward Compound representation of high resolution sea clutter , 1980 .

[19]  K. J. Sangston,et al.  Coherent detection of radar targets in a non-gaussian background , 1994 .

[20]  Ian F. Blake,et al.  Detection in multivariate non-Gaussian noise , 1994, IEEE Trans. Commun..

[21]  Hugh Griffiths,et al.  Modelling Spatially Correlated K-Distributed Clutter , 1991 .

[22]  Brian M. Sadler,et al.  Estimation and detection in non-Gaussian noise using higher order statistics , 1994, IEEE Trans. Signal Process..

[23]  Jerry M. Mendel,et al.  Cumulant-based approach to harmonic retrieval and related problems , 1991, IEEE Trans. Signal Process..

[24]  A. Farina,et al.  Use of perturbation methods in the problem of radar detection against a K-clutter background , 1995 .

[25]  F. Gini,et al.  Variance bounds for parameter estimation in correlated non-Gaussian clutter , 1997, Proceedings of the 1997 IEEE National Radar Conference.

[26]  C. Baker K-distributed coherent sea clutter , 1991 .

[27]  Pierfrancesco Lombardo,et al.  Coherent radar detection against K-distributed clutter with partially correlated texture , 1996, Signal Process..

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

[29]  Jerry M. Mendel,et al.  Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications , 1991, Proc. IEEE.