嵌套阵列最大似然估计测向算法

doi:10.7527/S1000-6893.2017.321212

Abstract

Abstract:

To estimate the angles of multiple radiation sources with unknown numbers of signals, this paper presents an algorithm for angle estimation of the nested array based on Maximum Likelihood Estimation (MLE). Based on the nested array model, the maximum likelihood function and its gradient of the multiple signals intercepted by the nested array are derived. The angles of all radiation sources in the airspace are estimated by the steepest descent method. Using the method of multiple hypothesis testing, the maximum likelihood ratio and the threshold are compared to determine the active radiation source angle of the transmitted signal at a certain time and exclude false source angles. The problem of DOA estimation of multiple radiation sources with unknown number of signals by the nested array is thus solved. The simulation results show that under the conditions of unknown number of the radiation source, existing coherent signal, low Signal to Noise Ratio (SNR), and low sampling number, the proposed algorithm has better performance in angle estimation than traditional MUltiple SIgnal Classification (MUSIC) algorithm. The method of multiple hypothesis testing has more advantages than traditional source number estimation algorithms under the condition of low SNR and in the processing of coherent signals.

Key words: nested array, Maximum Likelihood Estimation (MLE), angle estimation, multiple hypothesis testing, number of signals

CLC Number:

V219
TN971.1

CHEN Lu, BI Daping, CUI Rui, HAN Jiahui. DOA estimation algorithm based on maximum likelihood estimation for nested array[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(11): 321212-321212.

References

[1] LIU H Q, ZHAO L M, LI Y, et al. A sparse-based approach for DOA estimation and array calibration in uniform linear array[J]. IEEE Sensors Journal, 2016, 16(15):6018-6027.
[2] LIAO B, WEN J, HUANG L, et al. Direction finding with partly calibrated uniform linear arrays in nonuniform noise[J]. IEEE Sensors Journal, 2016, 16(12):4882-4890.
[3] MOFFET A. Minimum-redundancy linear arrays[J]. IEEE Transactions on Antennas and Propagation, 1968,16(2):172-175.
[4] ELIE B D, AHMAD F, MOENESS G A. Sparsity-based direction finding of coherent and uncorrelated targets using active nonuniform arrays[J]. IEEE Signal Processing Letters, 2015, 22(10):1628-1632.
[5] BHARGAV A, GUPTA N. Multiobjective genetic optimization of nonuniform linear array with low sidelobes and beamwidth[J]. IEEE Antennas and Wireless Propagation Letters, 2013, 12(2):1547-1549.
[6] MIKAEL S, LIEVEN D L. Multiple invariance ESPRIT for nonuniform linear arrays:A coupled canonical polyadic decomposition approach[J]. IEEE Transactions on Signal Processing, 2016, 64(14):3693-3704.
[7] PILLAI S U, BARNESS Y, HABER F. A new approach to array geometry for improved spatial spectrum estimation[J]. Proceedings of the IEEE,1985, 73(10):1522-1524.
[8] PILLAI S, HABER F. Statistical analysis of a high resolution spatial spectrum estimator utilizing an augmented covariance matrix[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987, 35(11):1517-1523.
[9] HBRAMOVICH Y I, GRAY D A, GOROKHOV A Y, et al. Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. Ⅰ. Fully augmentable arrays[J]. IEEE Transactions on Signal Processing, 1998, 46(9):2458-2471.
[10] HBRAMOVICH Y I, SPENCER N K, GOROKHOV A Y. Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. Ⅱ. Partially augmentable arrays[J]. IEEE Transactions on Signal Processing, 1999, 47(6):1502-1521.
[11] MA W K, HSIEH T H, CHI C Y. DOA estimation of quasi-stationary signals via Khatri-Rao subspace[C]//IEEE International Conference on Acoustics, Speech and Signal Processing. Piscataway, NJ:IEEE Computer Society, 2009:2165-2168.
[12] PAL P, VAIDYANATHAN P P. Nested arrays:A novel approach to array processing with enhanced degrees of freedom[J]. IEEE Transactions on Signal Processing, 2010, 58(8):4167-4181.
[13] MA X R, DONG X H, XIE Y F. An improved spatial differencing method for DOA estimation with the coexistence of uncorrelated and coherent signals[J]. IEEE Sensors Journal, 2016,16(10):3719-3723.
[14] FANG W H, LEE Y C, CHEN Y T. Maximum likelihood 2-D DOA estimation via signal separation and importance sampling[J].IEEE Antennas and Wireless Propagation Letters, 2016, 15(2):746-749.
[15] YANG X P, LI S, HU X N, et al. Improved MDL method for estimation of source number at subarray level[J]. Electronics Letters, 2016, 52(1):85-86.
[16] HAN K Y, NEHORAI A. Improved source number detection and direction estimation with nested arrays and ULAs using jackknifing[J]. IEEE Transactions on Signal Processing, 2013, 61(23):6118-6128.
[17] 齐崇英, 张永顺, 陈西宏, 等. 一种未知信源数的高分辨DOA估计算法[J].通信学报, 2006, 26(3):58-63. QI C Y, ZHANG Y S, CHEN X H, et al. Algorithm on high resolution DOA estimation under condition of unknown number of signal sources[J]. Journal on Communications,2006, 26(3):58-63(in Chinese).
[18] MANIKAS A N, TURNOR L F. Adaptive signal parameter estimation and classification technique[J].IEE Proceedings F-Radar and Signal Processing, 1991, 138(3):267-277.
[19] ZHANG Y, NG B P. MUSIC-Like DOA estimation without estimating the number of sources[J]. IEEE Transactions on Signal Processing, 2010, 58(3):1668-1676.
[20] LIU C L, VAIDYANATHAN P P. Super nested arrays:Linear sparse arrays with reduced mutual coupling-Part Ⅰ:Fundamentals[J]. IEEE Transactions on Signal Processing, 2016, 64(15):3997-4012.
[21] LIU C L, VAIDYANATHAN P P. Super nested arrays:Linear sparse arrays with reduced mutual coupling-Part Ⅱ:High-order extensions[J]. IEEE Transactions on Signal Processing, 2016, 65(16):4203-4217.
[22] NIU C, ZHANG Y S, GUO J R. Interlaced double-precision 2-D angle estimation algorithm using L-shaped nested arrays[J]. IEEE Signal Processing Letters, 2016, 23(4):522-526.
[23] HAN K Y, NEHORAI A. Wideband Gaussian source processing using a linear nested array[J]. IEEE Signal Processing Letters, 2013,20(11):1110-1113.
[24] CHUNG P J. A max-search approach for DOA estimation with unknown number of signals[J]. IEEE Journal of Selected Topics in Signal Processing, 2010, 4(3):612-619.

DOA estimation algorithm based on maximum likelihood estimation for nested array

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 5

Recommended Articles

Metrics

Comments

[1]	Qiuyu LIU, Yanwen JIANG, Hongqi FAN, Hongfei LIAN. Low-complexity Nyström-MUSIC method based on prior information [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(22): 629226-629226.
[2]	CHEN Lu, BI Daping, PAN Jifei. A direction finding algorithm based on smooth reconstruction sparse Bayesian learning [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(6): 322087-322087.
[3]	LIU Shuaiqi, WANG Buhong, LI Xia, LIU Xinbo, CAO Shuai. Design of receiving array of two-dimensional nested hybrid MIMO phased-array radar [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(4): 321546-321546.
[4]	HU Tong, ZHANG Gong, LI Jianfeng, ZHANG Xiaofei, BEN De. Angle Estimation in MIMO Radar with Non-circular Signals Based on Real-valued ESPRIT [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(8): 1953-1959.
[5]	YANG Mou-cun;NIE Hong. Advanced Method of Determining Generic Parameters of EIFS Distribution [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2006, 27(6): 1107-1112.