Keywords:-

Keywords: Direction-of-arrival (DOA), multiple signal classification (MUSIC), oblique projection operator, beam space, mutual coupling

Article Content:-

Abstract

Oblique projection operator (OPO)can be used to project measurements onto a low-rank desired signal subspace along a direction thatis oblique to the subspace. The appropriate subspace projection may be used to enhance the characteristics of the desired signal power and reduces the interference effect. In this paper,we propose a high-resolution direction-of-arrival(DOA)estimation algorithm for signal sources of uniform linear array (ULA) in the presence of mutual coupling by using an oblique projection operator. The mutual coupling coefficient between two sensor elements is inversely proportional to their distance and the value can be approximated as zero when the distance is far enough. The mutual coupling matrix (MCM) of a ULA can be expressed as a banded symmetric Toeplitz matrix. The multiple signal classification (MUSIC)algorithm by using an orthogonal projection operator for DOA estimation in the presence of mutual coupling signal environments can only utilize the middle subarray, the DOA estimation is biased. We usean oblique projection operator on a beam space to overcome the drawback of MUSIC algorithm for DOA estimation in the presence of mutual coupling and the algorithm proceeds into two stages. First, we use
MUSIC algorithm to obtain the estimated DOAs of the signal sources. Because the estimation sareprone to bias, we built a beam space near the estimated angles in Stage 1 to reduce DOA bias. Next, the projection weights of steering vectors on signal subspaces were replaced with their revised steering vectors. We use an oblique projection operator on the beam space to develop the characteristic of DOA of signal sources on a spatial spectrum for scanning and estimating the angle-of-arrival of signal sources. High-resolution DOA estimates are thus obtained. Finally, simulation results demonstrate the performance and procedural accuracy of our method.

References:-

References

J. Capon, “High-resolution frequency-wave number spectrum analysis,” Proc. IEEE, Vol. 57(1969),

pp. 1408-1418.

Harry L. Van Trees, Optimum Array Processing, Part IV of Detection, Estimation, and Modulation

Theory,John Wiley, New York, 2002.

R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Trans. Antennas

and Propagation, Vol. 34(1986), pp. 276–280.

R. Roy, and T. Kailath, “ESPRIT-estimation of signal parameters via rotational invariance

techniques,” IEEE Trans. Acoustics, Speech and Signal Processing, Vol. 37 (1989), pp. 984–995.

S. S. Haykin, Communication Systems, John Wiley & Sons, 2000.

A. J. Weiss and B. Friedlander, “Mutual coupling effects on phaseonly direction finding,” IEEE

Trans. Antennas and Propagation, Vol. 40(1992), pp. 535–541.

B. C. Ng and C. M. S. See, “Sensor array calibration using a maximum likelihood approach,” IEEE

Trans. Antennas and Propagation, Vol. 44(1996), pp. 827–835.

B. Friedlander and A. J. Weiss, “Direction finding in the presence of mutual coupling,” IEEE Trans.

Antennas and Propagation,Vol. 39(1991), pp. 273–284.

F. Sell one and A. Serra, “A novel online mutual coupling compensation algorithm for uniform and

linear arrays,” IEEE Trans.Signal Processing,Vol. 55, no. 2(2007), pp. 560–573. 10. T. Svantesson, “Mutual coupling compensation using subspace fitting,” inProc. IEEE Sensor Array

Multichannel Signal Processing Workshop, Mar. 2000, pp. 494–498.

Z. F. Ye, J. S. Dai, X. Xu, and X. P.Wu, “DOA estimation for uniformlinear array with mutual

coupling,” IEEE Trans. Aerospace and Electronic Systems,Vol. 45, no. 1(2009), pp. 280–288.

E. K. L. Hung, “A critical study of a self-calibration direction-finding method for arrays,” IEEE

Trans.Signal Processing,Vol. 42, no. 2(1994), pp. 471–474.

X. Xu, Z. F. Ye, and Y. F. Zhang, “DOA estimation for mixed signals in the presence of mutual coupling,” IEEE Trans.Signal Processing,Vol. 57, no. 9(2009), pp. 3523–3532.

B. Liao, Z. G. Zhang, and S. C. Chan, “A subspace-based method for DOA estimation of uniform

linear array in the presence of mutual coupling,” in Proc. IEEE ISCAS, Paris, France, May 2010, pp.

–1882.

R. T. Behrens and L. L. Scharf, “Signal processing applications of oblique projection operators,”

IEEE Trans.Signal Processing,Vol. 42(1994), pp. 1413–1424.

M.L. McCloud and L.L. Scharf, “A new subspace identification algorithm for high resolution DOA

estimation”, IEEE Trans. Antennas and Propagation, Vol. 50, no 10(2002), pp. 1382–1390.

X. Xu, Z.F. Ye, and J.H. Peng, “Method of direction of arrival estimation for uncorrelated, partially

correlated and coherent sources,” IETMicrow Antennas Propagation, Vol. 1, no. 4(2007), pp. 949-

C. C. Lin, “Using an Oblique Projection Operator for Highly Correlated Signal Direction-of-Arrival

Estimation,” Applied Mathematics and Information Sciences, Vol. 9 (2015), pp. 2663–2671.

S. N. Shahi, M. Emadi, and K. Sadeghi, “High Resolution DOA Estimation in Fully Coherent

environments,” Progress In Electromagnetics Research C, Vol. 5(2008), pp. 135–148.

X.Y. Bu, Z.H. Liu, and K. Yang, “Unbiased DOA estimation for CDMA based on selfinterference

cancellation,”Electronics Letter, Vol. 44 (2008), pp. 1163-1165. 21. J.C. Hung and C.C. Lin, “Hybridization of Genetic Algorithm and IBMUSIC applied to DOA

estimation under coherent signals”, Applied Mathematics & Information Sciences, Vol. 6, no

S(2012), pp. 495-502.

Y. L. Chen and C. C. Lin, “Fuzzy System for DOA Estimation of Coherent Signals”, Applied

Mechanics and Materials,Vols. 427-429 (2013), pp. 575-581.

J.R.Schott,Matrix analysis for statis

Downloads

Citation Tools

How to Cite
Lin, C.-C., & Chen, Y.-L. (2015). Using an Oblique Projection Operator for DOA Estimation Of Uniform Linear Array In The Presence Of Mutual Coupling. International Journal Of Mathematics And Computer Research, 3(09), 1154-1164. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/138