Derivative-constrained frequency-domain wideband DOA estimation
Tóm tắt
In this paper, we present a new approach for wideband direction of arrival (DOA) estimation incorporating derivative constraints into the optimization problem. The Taylor series expansion of steering vector with respect to frequency exhibits the dependence of sensor snapshots on the derivatives of the array manifold matrix, suppression of which reduces the data to follow the narrowband data model. Two new formulations following a beamformer framework are developed based on this observation. While the first formulation estimates accurate source directions with apriori knowledge of the signal subspace dimension, the second formulation provides DOA estimates without estimating the number of sources. The coherent averaging at the reference frequency enables the two formulations to handle coherent sources. The effectiveness of the proposed formulations is illustrated with simulations.
Tài liệu tham khảo
Buckley K. M., Griffiths L. J. (1988) Broad-band signal-subspace spatial-spectrum (BASS-ALE) estimation. IEEE Transactions on Acoustics, Speech and Signal Processing 36(7): 953–964
Chung P. J., Böhme J. F., Mecklenbräuker C. F., Hero A. O. I. (2007) Detection of the number of signals using the Benjamini-Hochberg procedure. IEEE Transactions on Signal Processing 55(6): 2497–2508
Chung P. J., Viberg M., Mecklenbräuker C. F. (2010) Broadband ML estimation under model order uncertainty. Signal Processing 90(5): 1350–1356
Doron M., Doron E. (1994) Wavefield modelling and array processing, part II-algorithms. IEEE Transactions on Signal Processing 42(10): 2560–2570
Doron M. A., Weiss A. J. (1992) On focusing matrices for wideband array processing. IEEE Transactions on Signal Processing 40(6): 1295–1302
Friedlander B., Weiss A. J. (1993) Direction finding of wideband signals using an interpolated array. IEEE Transactions on Signal Processing 41(4): 1618–1634
Hung H., Kaveh M. (1988) Focussing matrices for coherent signal-subspace processing. IEEE Transactions on Acoustics, Speech and Signal Processing 36(8): 1272–1281
Ng B. P., Er M. H., Kot C. (1994) A MUSIC approach for estimation of directions of arrival of multiple narrowband and broadband sources. Signal Process 40(2–3): 319–323
Petersen, K. B., & Pedersen, M. S. (2008). The matrix cookbook. URL http://www2.imm.dtu.dk/pubdb/p.php?3274, version 20081110.
Rao, Y. N., & Principe, J. C. (2001). An RLS type algorithm for generalized eigendecomposition. In Proceedings of IEEE signal processing society workshop on neural network for signal processing (pp. 263–272).
Reddy V. V., Ng B. P., Zhang Y., Khong A. W. H. (2012) DOA estimation of wideband sources without estimating the number of sources. Signal Processing 92(4): 1032–1043
Rissanen J. (1978) Modeling by shortest data description. Automatica 14(5): 465–471
Sellone F. (2006) Robust auto-focusing wideband DOA estimation. Signal Processing 86(1): 17–37
Swingler D. N., Krolik J. (1989) Source location bias in the coherently focussed high-resolution broadband beamformer. IEEE Transactions on Acoustics, Speech and Signal Processing 37(1): 143–145
Teutsch, H., & Kellermann, W. (2005). Estimation of the number of wideband sources in a acoustic wave field using eigen-beam processing for circular apertures. In IEEE workshop on applications of signal processing to audio and acoustics.
Tuncer, T. E., Friedlander, B. (eds) (2009) Classical and modern direction-of-arrival estimation. ISBN: 9780123745248, Academic Press
Wang H., Kaveh M. (1985) Coherent signal-subspace processing for the detection and etimation of angles of arrival of multiple wide-band sources. IEEE Transactions on Acoustics, Speech and Signal Processing 33(4): 823–831
Wax M., Shan T. J., Kailath T. (1984) Spatio-temporal spectral analysis by eigenstructure methods. IEEE Transactions on Acoustics, Speech and Signal Processing 32(4): 817–827
Yoon Y. S., Kaplan L. M., McClellan J. H. (2006) TOPS: A new DOA estimator for wideband signals. IEEE Transactions on Signal Processing 54(6): 1977–1989
Zeng W. J., Li X. L. (2010) High-resolution multiple wideband and nonstationary source localization with unknown number of sources. IEEE Transactions on Signal Processing 58(6): 3125–3136
Zhang, X., Chen, C., Li, J., & Xu, D. (2012). Blind DOA and polarization estimation for polarization-sensitive array using dimension reduction MUSIC. Multidimensional Systems and Signal Processing Online First. doi:10.1007/s11045-012-0186-3.
Zhang Y., Ng B. P. (2010) MUSIC-like DOA estimation without estimating the number of sources. IEEE Transactions on Signal Processing 58(3): 1668–1676
Zheng Z., & Li G. (2012). Fast DOA estimation of incoherently distributed sources by novel propagator. Multidimensional Systems and Signal Processing Online First. doi:10.1007/s11045-012-0185-4.