Angle estimation for small sample size with fast eigenvector-free subspace method

IEE Proceedings: Radar, Sonar and Navigation

Volumn 146, Issue 3, 1999, Pages 126-131

  Gierull, C H ^a  

^a FRAUNHOFER GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; SENSORS; SIGNAL DETECTION; SIGNAL FILTERING AND PREDICTION; STATISTICAL METHODS;

ANGLE-OF-ARRIVAL ESTIMATION; DIRECTION-OF-ARRIVAL (DOA) ESTIMATION; EIGENVECTOR-FREE SUBSPACE METHODS;

RADAR SYSTEMS;

EID: 0032623591     PISSN: 13502395     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-rsn:19990365     Document Type: Article

References (29)

1. THORPE, J., and SCHARF, L.: 'Data adaptive rank shaping methods for solving least square problems', IEEE Trans. Signal Process., 1995, 43, pp. 1591-1601
2. NICKEL, U.: 'Radar target parameter estimation with array antennas', in HAYKIN, S., LITVA, J., and SHEPHERD, T. (Eds.): 'Radar array processing' (Springer-Verlag, Heidelberg, 1993) ch. 3, pp. 47-98
3. NICKEL, U: 'On the application of subspace methods for small sample size', AEÜ-Int. J. Electron. Commun., 1997, 51, (6) pp. 279-289
4. SCHMIDT, R. O.: 'Multiple emitter location and signal parameter estimation', 1981, PhD thesis, Stanford University,
5. BIENVENU, G., and KOPP, L.: 'Optimality of high resolution array processing using the eigensystem approach', IEEE Trans. Acoust. Speech Signal Process., Oct. 1983, ASSP-31, pp. 1235-1248
6. STOICA, P., and NEHORAI, A.: 'Music, maximum likelihood, and Cramer-Rao bound', IEEE Trans. Acoust. Speech Signal Process., May 1989, ASSP-37, pp. 720-741
7. JOHNSON, R.L., and MINER, G.E.: 'Comparison of superresolution algorithms for radio direction finding', IEEE Trans. Aerosp. Electron Syst., 1986, AES-22, pp. 432-442
8. GIERULL, C.: 'Statistical analysis of the eigenvector projection method for adaptive spatial filtering of interference', IEE Proc. Radar, Sonar Navig., April 1997, 144, pp. 57-63
9. KARHUNEN, J.: 'Adaptive algorithm for estimating eigenvectors of correlation type matrices, Proceedings of IEEE international conference on Acoust., speech, signal processing, March 1984, (San Diego), pp. 14.6.1-14.6.4
10. COMON, P., and GOLUB, G.H.: 'Tracking a few extreme singular values and vectors in signal processing', Proc. IEEE, August 1990, 78, pp. 327-1343
11. YANG, B.: 'Projection approximation subspace tracking, IEEE Trans. Signal Process., 1995, 43, no. 5, pp. 95-107
12. HUNG, E.K., and TURNER, R.M.: 'A fast beamforming algorithm for large arrays', IEEE Trans. Aerosp. Electron. Syst., July 1983, AES-19, pp. 589-607
13. GIERULL, C.: 'Performance analysis of fast projections of the HungTurner type for adaptive beamforming', Signal Process., April 1996,50, pp. 17-29
14. BRANDWOOD, D.H.: 'Noise-space projection: MUSIC without eigenvectors', IEE Proc. H, June 1987, 134, pp. 303-309
15. YEH, C.C.: 'Simple computation of projection matrix for bearing . estimations', IEE Proc. F, April 1987, 134, pp. 1347-1349
16. TOULGOAT, M., GIERULL, C.H., TURNER, R.: 'Subspace estimation without eigenvectors for adaptive beamforming', Technical report 1194, Defence Research Establishment Ottawa, Canada 1993
17. CHAN, T. F.: 'Rank revealing QR factorizations', Linear Algcbr. Appl 1987, 88, pp. 67-82
18. GOLUB, G.H., and VAN LOAN, C.F.: 'Matrix computations', (Johns Hopkins University Press, Baltimore, MD, 1989)
19. HSIEH, S.F., LIU, K.J.R., and YAO, K.: 'Estimation of multiple sinusoidal frequencies using truncated least squares methods', IEEE Trans. Signal Process., Feb. 1993, 41, pp. 990-994
20. PRASAD, S., and CHANDNA, B.: 'Direction-of-arrival estimation using rank revealing QR factorization', IEEE Trans. Signal Process., 1991,39, 5, pp. 1224-1229
21. REILLY, J.P., CHEN, W.G., WONG, K.M.: 'A fast QR-based arrayprocessing algorithm', Proc. SPIE-Int. Soc. Opt. Eng., 1988, 975, pp. 36-47
22. GIERULL, C.: 'A fast subspace estimation method for adaptive beamforming based on covariance matrix transformation', AEÜ-Int. J. Electron. Commun., July 1997, 51, pp. 187-232
23. BÖHME, J.F.: 'Remarks on the statistical behaviour of orthogonal beamforming', IEE Proc. F, April 1985, 130, pp. 256-260
24. SHARMAN, K.: 'Asymptotic performance of eigenstructure spectral analysis methods', Proceedings of IEEE international conference on acoust., speech, signal processing, March 1984, (San Diego), pp. 12.3.1-12.5.3
25. KAVEH, M., and BARABELL, A.J.: 'The statistical performance of the music and the minimum-norm algorithms in resolving plane waves in noise', IEEE Trans. Acoust. Speech Signal Process, April 1986, ASSP34, pp. 331-341
26. FARRIER, D.R., JEFFRIES, D.J., and MARDANI, R.: 'Theoretical performance prediction of the MUSIC-algorithm', IEE Proc. F, June 1988, 135, pp. 216-224
27. KRIM, H., FORSTER, P., and PROAKIS, J.G.: 'Operator approach to performance analysis of root-MUSIC and root-min-norm', IEEE Trans. Signal Process, July 1992,40, 1687-1696
28. STOICA, P., and SODERSTRÖM, T.: 'Statistical analysis of a subspace method for bearing estimation without eigendecomposition', IEE Proc. F, 1992, 139, no. 4, pp. 301-305
29. JANSSEN, P.H.M., and STOICA, P.: 'On the expectation of the product of four matrix-valued gaussian random variables', IEEE Trans. Autom. Control, Sept. 1988, 33, pp. 867-870