DOA Estimation for Sources with Large Power Differences

Sources with large power differences are very common, especially in complex electromagnetic environments. Classical DOA estimation methods suffer from performance degradation in terms of resolution when dealing with sources that have large power differences. In this paper, we propose an improved DOA algorithm to increase the resolution performance in resolving such sources. The proposed method takes advantage of diagonal loading and demonstrates that the invariant property of noise subspace still holds after diagonal loading is performed. We also find that the Cramer–Rao bound of the weak source can be affected by the power of the strong source, and this has not been noted before. The Cramer–Rao bound of the weak source deteriorates as the power of the strong source increases. Numerical results indicate that the improved algorithm increases the probability of resolution while maintaining the estimation accuracy and computational complexity.

[2]  Thomas Kailath,et al.  Fast subspace decomposition , 1994, IEEE Trans. Signal Process..

[3]  Yong Han,et al.  Joint DOA and polarization estimation for unequal power sources based on reconstructed noise subspace , 2016 .

[4]  Yang Gao,et al.  Joint number and DOA estimation via the eigen-beam mCapon method for closely spaced sources , 2015, Science China Information Sciences.

[5]  Guillaume Bouleux,et al.  Oblique Projections for Direction-of-Arrival Estimation With Prior Knowledge , 2008, IEEE Transactions on Signal Processing.

[6]  Sergiy A. Vorobyov,et al.  Subspace Leakage Analysis and Improved DOA Estimation With Small Sample Size , 2015, IEEE Transactions on Signal Processing.

[7]  Xiangyu Zhang,et al.  Robust direction-of-arrival estimation based on sparse asymptotic minimum variance , 2019 .

[8]  Zhiwei Yang,et al.  Robust estimations of DOA and source number with strong and weak signals coexisting simultaneously based on a sparse uniform array , 2019 .

[9]  Eric M. Dowling,et al.  The constrained MUSIC problem , 1993, IEEE Trans. Signal Process..

[11]  Chen Hui,et al.  Interference jamming DOA estimation algorithm , 2005, 2005 IEEE Antennas and Propagation Society International Symposium.

[12]  Xiang-Gen Xia,et al.  A novel DOA estimation method for closely spaced multiple sources with large power differences , 2015, 2015 IEEE Radar Conference (RadarCon).

[13]  Leon H. Sibul,et al.  Cramer-Rao bounds on angle estimation with a two-dimensional array , 1991, IEEE Trans. Signal Process..

[14]  Yanqun Wu,et al.  Insight Into Split Beam Cross-Correlator Detector With the Prewhitening Technique , 2019, IEEE Access.

[15]  Jian Li,et al.  Angle and waveform estimation via RELAX , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[16]  M. Pajovic,et al.  Analysis of Optimal Diagonal Loading for MPDR-Based Spatial Power Estimators in the Snapshot Deficient Regime , 2019, IEEE Journal of Oceanic Engineering.

[17]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[18]  Umberto Mengali,et al.  The modified Cramer-Rao bound and its application to synchronization problems , 1994, IEEE Trans. Commun..

[19]  Wei Zhang,et al.  Multiple-Toeplitz Matrices Reconstruction Algorithm for DOA Estimation of Coherent Signals , 2019, IEEE Access.

[20]  Ali Olfat,et al.  A new signal subspace processing for DOA estimation , 2004, Signal Process..

[21]  Feng Xia,et al.  Joint Range-Doppler-Angle Estimation for Intelligent Tracking of Moving Aerial Targets , 2018, IEEE Internet of Things Journal.

[22]  A. Elnashar,et al.  Further Study on Robust Adaptive Beamforming With Optimum Diagonal Loading , 2006, IEEE Transactions on Antennas and Propagation.

[23]  Ying Zhang,et al.  MUSIC-Like DOA Estimation Without Estimating the Number of Sources , 2010, IEEE Transactions on Signal Processing.

[24]  Elias Aboutanios,et al.  Interference DOA estimation and suppression for GNSS receivers using fully augmentable arrays , 2017 .

[25]  Xianbin Wang,et al.  Off-Grid DOA Estimation Using Sparse Bayesian Learning in MIMO Radar With Unknown Mutual Coupling , 2018, IEEE Transactions on Signal Processing.

[26]  Ke Wang,et al.  Angle estimation and mutual coupling self-calibration for ULA-based bistatic MIMO radar , 2018, Signal Process..

[27]  Wei Zhang,et al.  An Improved ESPRIT-Like Algorithm for Coherent Signals DOA Estimation , 2020, IEEE Communications Letters.

[28]  Yiduo Guo,et al.  DOA estimation method of weak sources for an array antenna under strong interference conditions , 2018, International Journal of Electronics.

[29]  Xianpeng Wang,et al.  Nuclear norm minimization framework for DOA estimation in MIMO radar , 2017, Signal Process..

[30]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound: further results and comparisons , 1990, IEEE Trans. Acoust. Speech Signal Process..

[31]  Xingpeng Mao,et al.  Hybrid Method of DOA Estimation Using Nested Array for Unequal Power Sources , 2018, 2018 International Conference on Radar (RADAR).

[32]  X. Qiao,et al.  Low-Complexity DOA Estimation Based on Compressed MUSIC and Its Performance Analysis , 2013, IEEE Transactions on Signal Processing.

[33]  Yong Han,et al.  Joint DOA and Polarization Estimation for Unequal Power Sources , 2015 .

[34]  jinyou Qu,et al.  A new method for weak signals' DOA estimation in the presence of strong interferences , 2012, 2012 IEEE 11th International Conference on Signal Processing.

[35]  Liang Guolong,et al.  New method of DOA estimation in the presence of interference , 2013, 2013 IEEE 11th International Conference on Electronic Measurement & Instruments.

[36]  Mahmood Karimi,et al.  Non-Iterative Subspace-Based DOA Estimation in the Presence of Nonuniform Noise , 2019, IEEE Signal Processing Letters.