I. Reed, J. Mallett, and L. Brennan, Rapid convergence rate in adaptive arrays, IEEE Trans. on Aero. and Elec. Syst, issue.10, pp.853-863, 1974.

J. Ward, Space-time adaptive processing for airborne radar, 1994.

L. Scharf and B. Friedlander, Matched subspace detectors, IEEE Trans. on Sig. Proc, vol.42, pp.2146-2157, 1994.

R. Schmidt, Multiple emitter location and signal parameter estimation, IEEE Trans.-ASSP, vol.34, issue.3, pp.276-280, 1986.

R. Roy and T. Kailath, ESPRIT-estimation of signal parameters via rotational invariant techniques, IEEE Trans.-ASSP, vol.37, issue.7, pp.984-995, 1989.

I. Kirstein and D. Tufts, Adaptive detection using a low rank approximation to a data matrix, IEEE Trans. on Aero. and Elec. Syst, vol.30, pp.55-67, 1994.

A. Haimovich, The eigencanceler: Adaptive radar by eigenanalysis methods, IEEE Trans. on Aero. and Elec. Syst, vol.32, issue.2, pp.532-542, 1996.

G. Ginolhac and G. Jourdain, principal component inverse" algorithm for detection in the presence of reverberation, IEEE Journal of Oceanic Engineering, vol.27, issue.2, pp.310-321, 2002.

M. Rangaswamy, F. Lin, and K. Gerlach, Robust adaptive signal processing methods for heterogeneous radar clutter scenarios, Signal Processing, vol.84, pp.1653-1665, 2004.

E. Kelly, An adaptive detection algorithm, IEEE Trans. on Aero. and Elec. Syst, vol.22, issue.1, pp.115-127, 1986.

F. Robey, D. Fuhrmann, E. Kelly, and R. Nitzberg, A CFAR adaptive matched filter detector, IEEE Trans. on Aero. and Elec. Syst, vol.28, issue.2, pp.208-216, 1992.

S. Kraut, L. Scharf, and L. Mcwhorter, Adaptive subspace detectors, IEEE Trans. on Sig. Proc, vol.49, issue.1, pp.1-16, 2001.

O. Besson and L. Scharf, CFAR matched direction detector, IEEE Trans. on Sig. Proc, vol.54, issue.7, pp.2840-2845, 2006.

A. Haimovich, Asymptotic distribution of the conditional signal-tonoise ratio in an eigenanalysis-based adaptive array, IEEE Trans. on Aero. and Elec. Syst, vol.33, pp.988-997, 1997.

C. Peckham, A. Haimovich, T. Ayoub, J. Goldstein, and I. Reed, Reduced-rank STAP performance analysis, IEEE Trans. on Aero. and Elec. Syst, vol.36, issue.2, pp.664-676, 2000.

G. Ginolhac, P. Forster, F. Pascal, and J. Ovarlez, Performance of two low-rank STAP filters in a heterogeneous noise, IEEE Trans. on Signal Process, vol.61, pp.57-61, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00828338

H. Krim, P. Forster, and J. Proakis, Operator approach to performance analysis of root-MUSIC and root-min-norm, IEEE Trans. on Sig. Proc, vol.40, issue.7, pp.1687-1696, 1992.

G. Ginolhac, P. Forster, F. Pascal, and J. Ovarlez, Exploiting persymmetry for low-rank space time adaptive processing, Signal Processing, vol.97, issue.4, pp.242-251, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00781738

X. Mestre, Improved estimation of eigenvalues and eigenvectors of covariance matrices using their sample estimates, IEEE Transactions on Information Theory, vol.54, issue.11, pp.5113-5129, 2008.

, On the asymptotics behavior of the sample estimates of eigenvalues and eigenvectors of covariance matrices, IEEE Transactions on Signal Processing, vol.56, issue.11, pp.5353-5368, 2009.

P. Vallet, P. Loubaton, and X. Mestre, Improved subspace estimation for multivariate observations of high dimension the deterministic signals case, IEEE Trans. on Information Theory, vol.58, issue.2, pp.1043-1068, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00692662

R. Couillet and W. Hachem, Fluctuations of spiked random matrix models and failure diagnosis in sensor networks, IEEE Transactions on Information Theory, vol.59, issue.1, pp.509-525, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00830228

X. Mestre and M. Lagunas, Modified subspace algorithms for doa estimation with large arrays, IEEE Transactions on Information Theory, vol.56, issue.2, pp.598-614, 2008.

R. Couillet, F. Pascal, and J. Silverstein, Robust estimates of covariance matrices in the large dimensional regime, IEEE Transactions on Information Theory, vol.60, issue.11, pp.7269-7278, 2014.

R. Nadakuditi and J. Silverstein, Fundamental limit of sample generalized eigenvalue based detection of signals in noise using relatively few signal-bearing and noise-only samples, IEEE Journal of Selected Topics in Signal Processing, vol.4, issue.3, pp.468-480, 2010.

N. Asendorf and R. Nadakuditi, The performance of a matched subspace detector that uses subspaces estimated from finite, noisy, training data, IEEE Trans. on Sig. Proc, vol.61, issue.8, pp.1972-1985, 2013.

A. Combernoux, F. Pascal, G. Ginolhac, and M. Lesturgie, Performances of low rank detectors based on random matrix theory with application to stap, RADAR, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01084420

, Asymptotic performance of the low rank adaptive normalized matched filter in a large dimensional regime, ICASSP, 2015.

I. Johnstone, On the distribution of the largest principal component, The Annals of Statistics, vol.29, issue.2, pp.295-327, 2001.

F. Benaych-georges and R. Nadakuditi, The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Adv. in Math, vol.227, issue.1, pp.494-521, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00423593

D. Paul, Asymptotics of sample eigenstructure for a large dimensional spiked covariance model, Statistica Sinica, vol.17, issue.4, pp.1617-1642, 2007.

W. Hachem, P. Loubaton, X. Mestre, J. Najim, and P. Vallet, A subspace estimator of fixed rank perturbations of large random matrices, Journal of Multivariate Analysis, vol.114, pp.427-447, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00598826

B. Tang, J. Tang, and Y. Peng, Performance of knowledge aided space time adaptive processing, IET Radar Sonar Navig, vol.5, issue.3, pp.331-340, 2010.

, Clutter nulling performance of SMI in amplitude heterogeneous clutter environments, IEEE Trans. on Aero. and Elec. Syst, vol.49, issue.2, pp.1366-1373, 2013.

X. Mestre and M. Lagunas, Finite sample size effect on minimum variance beamformers: Optimum diagonal loading factor for large arrays

, IEEE Transactions on Signal Processing, vol.54, issue.1, pp.69-82, 2006.

F. Rubio, X. Mestre, and W. Hachem, A CLT on the SNR of diagonally loaded MVDR filters, IEEE Trans. on Sig. Proc, vol.60, issue.8, pp.4178-4195, 2012.
URL : https://hal.archives-ouvertes.fr/hal-02278548

J. Yu, F. Rubio, and M. Mckay, Performance analysis of minimum variance asset allocation with high frequency data, ICASSP, pp.6496-6500, 2013.

V. Marcenko and L. Pastur, Distributions of eigenvalues for somme set of random matrices, Math USSR-Sbornik, vol.1, issue.4, pp.457-483, 1967.

J. Baik and J. W. Silverstein, Eigenvalues of large sample covariance matrices of spiked population models, Journal of Multivariate Analysis, vol.97, pp.1643-1697, 2006.

P. Billingsley, Probability and Measure, 1995.

V. Girko, An Introduction to Statistical Analysis of Random Arrays. VSP International Science Publishers, 1998, ch. 14 -Ten years of general statistical analysis

J. Li and P. Stoica, MIMO Radar Signal Processing, 2009.

D. Tse and P. Viswanath, Fundamentals of Wireless Communication, 2005.

L. Hormander, An Introduction to Complex Analysis in Several Variables, ser. North-Holland Mathematical Library, 1973.

R. Couillet and M. Debbah, Random Matrix Methods for Wireless Communications, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00658725

W. Hachem, O. Khorunzhy, P. Loubaton, J. Najim, and L. Pastur, A new approach for capacity analysis of large dimensional multi-antenna channels, IEEE Trans. on Inf. Th, 2008.