Nested arrays: A novel approach to array processing with enhanced degrees of freedom

IEEE Transactions on Signal Processing

Volumn 58, Issue 8, 2010, Pages 4167-4181

  Pal, Piya ^a   Vaidyanathan, P P ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Beamforming; co array; direction of arrival (DOA) estimation; Khatri Rao product; minimum redundancy array; nested arrays; spatial smoothing

Indexed keywords

CO-ARRAY; DIRECTION-OF-ARRIVAL ESTIMATION; MINIMUM REDUNDANCY ARRAY; NESTED ARRAYS; SPATIAL SMOOTHING;

ARRAY PROCESSING; BEAMFORMING; COMPUTER SIMULATION; DIRECTION OF ARRIVAL; MECHANICS; QUALITY ASSURANCE; REDUNDANCY; SENSORS;

RADIO DIRECTION FINDING SYSTEMS;

EID: 77954583774     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2049264     Document Type: Article

References (33)

1. H. L. Van Trees, Optimum Array Processing: Part IV of Detection, Estimation and Modulation Theory. New York: Wiley Intersci., 2002.
2. R. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol.34, pp. 276-280, Mar. 1986.
3. S. U. Pillai, Y. Bar-Ness, and F. Haber, "A new approach to array geometry for improved spatial spectrum estimation," Proc. IEEE, vol.73, pp. 1522-1524, Oct. 1985. (Pubitemid 16524684)
4. S. Pillai and F. Haber, "Statistical analysis of a high resolution spatial spectrum estimator utilizing an augmented covariance matrix," IEEE Trans. Acoust., Speech Signal Process., vol.35, no.11, pp. 1517-1523, Nov. 1987.
5. Y. I. Abramovich, D. A. Gray, A. Y. Gorokhov, and N. K. Spencer, "Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. I. Fully augmentable arrays," IEEE Trans. Signal Process., vol.46, pp. 2458-2471, Sep. 1998.
6. Y. I. Abramovich, N. K. Spencer, and A. Y. Gorokhov, "Positive- definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. II. Partially augmentable arrays," IEEE Trans. Signal Process., vol.47, pp. 1502-1521, Jun. 1999.
7. D. H. Johnson and D. E. Dudgeon, Array Signal Processing - Concepts and Techniques. Englewood Cliffs, NJ: Prentice-Hall, 1993.
8. D. A. Linebarger, I. H. Sudborough, and I. G. Tollis, "Difference bases and sparse sensor arrays," IEEE Trans. Inf. Theory, vol.39, pp. 716-721, Mar. 1993.
9. A. Moffet, "Minimum-redundancy linear arrays," IEEE Trans. Antennas Propag., vol.16, pp. 172-175, Mar. 1968.
10. C.-Y. Chen and P. P. Vaidyanathan, "Minimum redundancy MIMO radars," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2008, May 18-21, 2008, pp. 45-48.
11. D. Pearson, S. U. Pillai, and Y. Lee, "An algorithm for near-optimal placement of sensor elements," IEEE Trans. Inf. Theory, vol.36, pp. 1280-1284, Nov. 1990.
12. C. S. Ruf, "Numerical annealing of low-redundancy linear arrays," IEEE Trans. Antennas Propag., vol.41, pp. 85-90, Jan. 1993.
13. B. Porat and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Process., vol.39, pp. 2016-2024, Sep. 1991.
14. M. C. Dogan and J. M. Mendel, "Applications of cumulants to array processing .I. Aperture extension and array calibration," IEEE Trans. Signal Process., vol.43, pp. 1200-1216, May 1995.
15. P. Chevalier, L. Albera, A. Ferreol, and P. Comon, "On the virtual array concept for higher order array processing," IEEE Trans. Signal Process., vol.53, pp. 1254-1271, Apr. 2005.
16. P. Chevalier and A. Ferreol, "On the virtual array concept for the fourth-order direction finding problem," IEEE Trans. Signal Process., vol.47, pp. 2592-2595, Sep. 1999.
17. W.-K. Ma, T.-H. Hsieh, and C.-Y. Chi, "DOA estimation of quasistationary signals via Khatri-Rao subspace," in Proc. Int. Conf. Acoust., Speech Signal Process. (ICASSP), Apr. 2009, pp. 2165-2168.
18. D. W. Bliss and K. W. Forsythe, "Multiple-input multiple-output (MIMO) radar and imaging: Degrees of freedom and resolution," in Proc. 37th IEEE Asilomar Conf. Signals, Syst., Comput., Nov. 2003, vol.1, pp. 54-59.
19. R. T. Hoctor and S. A. Kassam, "The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging," Proc. IEEE, vol.78, pp. 735-752, Apr. 1990.
20. R. J. Kozick and S. A. Kassam, "Coarray synthesis with circular and elliptical boundary arrays," IEEE Trans. Image Process., vol.1, pp. 391-405, Jul. 1992.
21. C.-Y. Chen and P. P. Vaidyanathan, "MIMO radar space-time adaptive processing using prolate spheroidal wave functions," IEEE Trans. Signal Process., vol.56, pp. 623-635, Feb. 2008.
22. E. Evans, J. R. Johnson, and D. F. Sun, "High resolution angular spectrum estimation techniques for terrain scattering analysis and angle of arrival estimation," in Proc. 1st ASSP Workshop Spectral Estimation, Hamilton, Ontario, Canada, Aug. 1981, pp. 134-139.
23. T.-J. Shan, M. Wax, and T. Kailath, "On spatial smoothing for direction- of-arrival estimation of coherent signals," IEEE Trans. Acoust., Speech Signal Process., vol.33, no.4, pp. 806-811, Aug. 1985.
24. B. Friedlander and A. J. Weiss, "Direction finding using spatial smoothing with interpolated arrays," IEEE Trans. Aerosp. Electron. Syst., vol.28, pp. 574-587, Apr. 1992.
25. S. U. Pillai and B. H. Kwon, "Forward/backward spatial smoothing techniques for coherent signal identification," IEEE Trans. Acoust., Speech Signal Process., vol.37, no.1, pp. 8-15, Jan. 1989.
26. H. P.Bucker, "High resolution cross-sensor beamforming for a billboard array," J. Acoust. Soc. Amer., vol.65, no.1, pp. 145-147, Jan. 1979.
27. H. P. Bucker, "Cross-sensor beam forming with a sparse line array," J. Acoust. Soc. Amer., vol.61, no.2, pp. 494-498, Feb. 1977.
28. H. C. Pumphrey, "Design of sparse arrays in one, two and three dimensions," J. Acoust. Soc. Amer., vol.93, no.3, pp. 1620-1628, Mar. 1993.
29. M. D. Zoltowski, "On the performance analysis of the MVDR beamformer in the presence of correlated interference," IEEE Trans. Acoust., Speech Signal Process., vol.36, no.6, pp. 945-947, Jun. 1988.
30. W. Chen, K. M. Wong, and J. P. Reilly, "Detection of the number of signals - A predicted eigen-threshold approach," IEEE Trans. Signal Process., vol.39, pp. 1088-1098, May 1991.
31. M. Kaveh and A. Barabell, "The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise," IEEE Trans. Acoust., Speech Signal Process., vol.34, no.2, pp. 331-341, Apr. 1986.
32. H. Krim and M. Viberg, "Two decades of array signal processing research: The parametric approach," IEEE Signal Process. Mag., vol.13, pp. 67-94, Jul. 1996.
33. S. W. Lang, G. L. Duckworth, and J. H. McClellan, "Array design for MEM and MLM array processing," in Proc. Int. Conf. Acoustics, Speech, Signal Procesing (ICASSP), 1981, pp. 145-148.