DOA Estimation Methods and Algorithms

Estimation of direction of arrival (DOA) from data collected by sensor arrays is of fundamental importance to a variety of applications such as radar, sonar, wireless communications, geophysics and biomedical engineering. Significant progress in the development of algorithms has been made over the last three decades. This article provides an overview of DOA estimation methods that are relevant in theory and practice. We will present estimators based on beamforming, subspace and parametric approaches and compare their performance in terms of estimation accuracy, resolution capability and computational complexity. Methods for processing broadband data and signal detection will be discussed as well. Finally, a brief discussion will be given to application specific algorithms.

[1]  Philippe Forster,et al.  Application of spheroidal sequences to array processing , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Kaushik Mahata,et al.  Direction-of-Arrival Estimation Using a Mixed $\ell _{2,0}$ Norm Approximation , 2010, IEEE Transactions on Signal Processing.

[3]  Björn E. Ottersten,et al.  The effects of local scattering on direction of arrival estimation with MUSIC , 1999, IEEE Trans. Signal Process..

[4]  Bhaskar D. Rao,et al.  Performance analysis of Root-Music , 1989, IEEE Trans. Acoust. Speech Signal Process..

[5]  A. Luthra,et al.  A solution to the adaptive nulling problem with a look-direction constraint in the presence of coherent jammers , 1986 .

[6]  Jian Li,et al.  On the inconsistency of IQML , 1997, Signal Process..

[7]  Z. Bai,et al.  On detection of the number of signals in presence of white noise , 1985 .

[8]  Shahram Shahbazpanahi,et al.  A generalized capon estimator for localization of multiple spread sources , 2004, IEEE Trans. Signal Process..

[9]  James P. Reilly,et al.  Estimation of the directions of arrival of signals in unknown correlated noise. I. The MAP approach and its implementation , 1992, IEEE Trans. Signal Process..

[10]  Ilan Ziskind,et al.  Detection of the number of coherent signals by the MDL principle , 1989, IEEE Trans. Acoust. Speech Signal Process..

[11]  Sergiy A. Vorobyov,et al.  Maximum likelihood direction-of-arrival estimation in unknown noise fields using sparse sensor arrays , 2005, IEEE Transactions on Signal Processing.

[12]  Jian Li,et al.  Maximum likelihood angle estimation for signals with known waveforms , 1993, IEEE Trans. Signal Process..

[13]  Björn E. Ottersten,et al.  Maximum likelihood array processing in spatially correlated noise fields using parameterized signals , 1997, IEEE Trans. Signal Process..

[14]  Arye Nehorai,et al.  Wideband source localization using a distributed acoustic vector-sensor array , 2003, IEEE Trans. Signal Process..

[15]  Boaz Nadler,et al.  Non-Parametric Detection of the Number of Signals: Hypothesis Testing and Random Matrix Theory , 2009, IEEE Transactions on Signal Processing.

[16]  Mats Viberg Sensitivity of parametric direction finding to colored noise fields and undermodeling , 1993, Signal Process..

[17]  R. Compton,et al.  Angle and polarization estimation using ESPRIT with a polarization sensitive array , 1991 .

[18]  M-X Huang,et al.  Commonalities and Differences Among Vectorized Beamformers in Electromagnetic Source Imaging , 2003, Brain Topography.

[19]  Pei Jung Chung,et al.  DOA estimation using fast EM and SAGE algorithms , 2002, Signal Process..

[20]  Thomas Kailath,et al.  Direction-of-arrival estimation via exploitation of cyclostationary-a combination of temporal and spatial processing , 1992, IEEE Trans. Signal Process..

[21]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[22]  Johann F. Böhme,et al.  Multiple testing for seismic data using bootstrap , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[23]  H. Howard Fan,et al.  DOA estimation for wideband cyclostationary signals under multipath environment , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[24]  Alfred O. Hero,et al.  Tracking of Multiple Moving Sources Using Recursive EM Algorithm , 2005, EURASIP J. Adv. Signal Process..

[25]  Shahrokh Valaee,et al.  Distributed source localization using ESPRIT algorithm , 2001, IEEE Trans. Signal Process..

[26]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[27]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[28]  Umberto Spagnolini,et al.  Seismic Velocity and Polarization Estimation for Wavefield Separation , 2008, IEEE Transactions on Signal Processing.

[29]  B. Friedlander,et al.  Direction finding using spatial smoothing with interpolated arrays , 1992 .

[30]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[31]  Preben E. Mogensen,et al.  A stochastic model of the temporal and azimuthal dispersion seen at the base station in outdoor propagation environments , 2000, IEEE Trans. Veh. Technol..

[32]  Robert H. Shumway,et al.  Replicated time-series regression: An approach to signal estimation and detection , 1983 .

[33]  Thomas Kailath,et al.  Optimum beamforming for coherent signal and interferences , 1988, IEEE Trans. Acoust. Speech Signal Process..

[34]  Shahrokh Valaee,et al.  Parametric localization of distributed sources , 1995, IEEE Trans. Signal Process..

[35]  D. Titterington Recursive Parameter Estimation Using Incomplete Data , 1984 .

[36]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[37]  Ronald D. DeGroat,et al.  Noniterative subspace tracking , 1992, IEEE Trans. Signal Process..

[38]  Chong Kwan Un,et al.  A Sequential Estimation Approach for Performance Improvement of Eigenstructure-Based Methods in Array Processing , 1993, IEEE Trans. Signal Process..

[39]  Meir Feder,et al.  Recursive expectation-maximization (EM) algorithms for time-varying parameters with applications to multiple target tracking , 1999, IEEE Trans. Signal Process..

[40]  Don H. Johnson,et al.  Array Signal Processing: Concepts and Techniques , 1993 .

[41]  Patrick J. Wolfe,et al.  Minimax Rank Estimation for Subspace Tracking , 2009, IEEE Journal of Selected Topics in Signal Processing.

[42]  E. L. Lehmann,et al.  Theory of point estimation , 1950 .

[43]  Kon Max Wong,et al.  On information theoretic criteria for determining the number of signals in high resolution array processing , 1990, IEEE Trans. Acoust. Speech Signal Process..

[44]  Jian Li,et al.  Computationally efficient angle estimation for signals with known waveforms , 1995, IEEE Trans. Signal Process..

[45]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[46]  K. M. Buckley,et al.  A comparison of element and beam space spatial-spectrum estimation for multiple source clusters , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[47]  William A. Gardner,et al.  Simplification of MUSIC and ESPRIT by exploitation of cyclostationarity , 1988, Proc. IEEE.

[48]  Mikael Tapio On the use of beamforming for estimation of spatially distributed signals , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[49]  C. Richmond,et al.  Response of sample covariance based MVDR beamformer to imperfect look and inhomogeneities , 1998, IEEE Signal Processing Letters.

[50]  Josef A. Nossek,et al.  Unitary ESPRIT: how to obtain increased estimation accuracy with a reduced computational burden , 1995, IEEE Trans. Signal Process..

[51]  Petre Stoica,et al.  Maximum likelihood methods for direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[52]  Thomas Kailath,et al.  Performance analysis of the optimum beamformer in the presence of correlated sources and its behavior under spatial smoothing , 1987, IEEE Trans. Acoust. Speech Signal Process..

[53]  A. Lee Swindlehurst,et al.  Analysis of the combined effects of finite samples and model errors on array processing performance , 1994, IEEE Trans. Signal Process..

[54]  A. Sano,et al.  Efficient subspace-based algorithm for adaptive bearing estimation and tracking , 2005, IEEE Transactions on Signal Processing.

[55]  Y. Hua,et al.  Fast orthonormal PAST algorithm , 2000, IEEE Signal Processing Letters.

[56]  Fu Li,et al.  Performance degradation of DOA estimators due to unknown noise fields , 1992, IEEE Trans. Signal Process..

[57]  Zhi-Quan Luo,et al.  Robust adaptive beamforming using worst-case performance optimization: a solution to the signal mismatch problem , 2003, IEEE Trans. Signal Process..

[58]  P. Stoica,et al.  Improved sequential MUSIC , 1995, IEEE Transactions on Aerospace and Electronic Systems.

[59]  Roland Badeau,et al.  Fast and Stable YAST Algorithm for Principal and Minor Subspace Tracking , 2008, IEEE Transactions on Signal Processing.

[60]  Murat Akçakaya,et al.  Biologically Inspired Coupled Antenna Array for Direction-of-Arrival Estimation , 2010, IEEE Transactions on Signal Processing.

[61]  Gene H. Golub,et al.  Matrix computations , 1983 .

[62]  Y. Bresler Maximum likelihood estimation of a linearly structured covariance with application to antenna array processing , 1988, Fourth Annual ASSP Workshop on Spectrum Estimation and Modeling.

[63]  Carlos E. Davila,et al.  Efficient, high performance, subspace tracking for time-domain data , 2000, IEEE Trans. Signal Process..

[64]  W. Stutzman,et al.  Spatial, polarization, and pattern diversity for wireless handheld terminals , 2001 .

[65]  Jian Li,et al.  Comparative study of IQML and MODE direction-of-arrival estimators , 1998, IEEE Trans. Signal Process..

[66]  Björn E. Ottersten,et al.  Array processing in correlated noise fields based on instrumental variables and subspace fitting , 1995, IEEE Trans. Signal Process..

[67]  Joseph Tabrikian,et al.  Source localization using vector sensor array in a multipath environment , 2004, IEEE Transactions on Signal Processing.

[68]  Ilan Ziskind,et al.  On unique localization of multiple sources by passive sensor arrays , 1989, IEEE Trans. Acoust. Speech Signal Process..

[69]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[70]  Zhi-Dong Bai,et al.  Remarks on certain criteria for detection of number of signals , 1987, IEEE Trans. Acoust. Speech Signal Process..

[71]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[72]  L. Mcbride,et al.  A technique for the identification of linear systems , 1965 .

[73]  Björn E. Ottersten,et al.  Low-complexity estimators for distributed sources , 2000, IEEE Trans. Signal Process..

[74]  Ehud Weinstein,et al.  Parameter estimation of superimposed signals using the EM algorithm , 1988, IEEE Trans. Acoust. Speech Signal Process..

[75]  Harry B. Lee,et al.  Resolution threshold of beamspace MUSIC for two closely spaced emitters , 1990, IEEE Trans. Acoust. Speech Signal Process..

[76]  G. Borgiotti,et al.  Superresolution of uncorrelated interference sources by using adaptive array techniques , 1979 .

[77]  Orhan Arikan,et al.  Wideband maximum likelihood direction finding and signal parameter estimation by using the tree-structured EM algorithm , 1999, IEEE Trans. Signal Process..

[78]  William Fitzgerald,et al.  A Bayesian approach to tracking multiple targets using sensor arrays and particle filters , 2002, IEEE Trans. Signal Process..

[79]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[80]  B.D. Van Veen,et al.  Dimensionality Reduction In High Resolution Direction Of Arrival Estimation , 1988, Twenty-Second Asilomar Conference on Signals, Systems and Computers.

[81]  Alex B. Gershman,et al.  Two-dimensional wideband interpolated root-MUSIC applied to measured seismic data , 1998, IEEE Trans. Signal Process..

[82]  Hagit Messer,et al.  Order statistics approach for determining the number of sources using an array of sensors , 1999, IEEE Signal Processing Letters.

[83]  Kah-Chye Tan,et al.  An investigation on number of signals whose directions-of-arrival are uniquely determinable with an electromagnetic vector sensor , 1995, Signal Process..

[84]  E. Bonek,et al.  High-resolution 3-D direction-of-arrival determination for urban mobile radio , 1997 .

[85]  Jerry M. Mendel,et al.  Applications of cumulants to array processing - I. Aperture extension and array calibration , 1995, IEEE Trans. Signal Process..

[86]  Jean-Jacques Fuchs On the application of the global matched filter to DOA estimation with uniform circular arrays , 2001, IEEE Trans. Signal Process..

[87]  Kristine L. Bell,et al.  A unified method for measurement and tracking of contacts from an array of sensors , 2001, IEEE Trans. Signal Process..

[88]  V. Pisarenko The Retrieval of Harmonics from a Covariance Function , 1973 .

[89]  J. F. Böhme,et al.  Estimation of spectral parameters of correlated signals in wavefields , 1986 .

[90]  Bjorn Ottersten,et al.  Performance analysis of the total least squares ESPRIT algorithm , 1991, IEEE Trans. Signal Process..

[91]  Björn E. Ottersten,et al.  Estimation of nominal direction of arrival and angular spread using an array of sensors , 1996, Signal Process..

[92]  Surendra Prasad,et al.  A transform-based covariance differencing approach for some classes of parameter estimation problems , 1988, IEEE Trans. Acoust. Speech Signal Process..

[93]  Kevin Buckley,et al.  Performance analysis of the MVDR spatial spectrum estimator , 1995, IEEE Trans. Signal Process..

[94]  Arye Nehorai,et al.  Vector-sensor array processing for electromagnetic source localization , 1994, IEEE Trans. Signal Process..

[95]  S. Unnikrishna Pillai,et al.  Forward/backward spatial smoothing techniques for coherent signal identification , 1989, IEEE Trans. Acoust. Speech Signal Process..

[96]  Qi Cheng,et al.  Performance analysis of the MUSIC and Pencil-MUSIC algorithms for diversely polarized array , 1994, IEEE Trans. Signal Process..

[97]  Steven Kay,et al.  Maximum likelihood estimation for array processing in colored noise , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[98]  Mostafa Kaveh,et al.  Focussing matrices for coherent signal-subspace processing , 1988, IEEE Trans. Acoust. Speech Signal Process..

[99]  Michael D. Zoltowski,et al.  ESPRIT-based 2-D direction finding with a sparse uniform array of electromagnetic vector sensors , 2000, IEEE Trans. Signal Process..

[100]  Raffaele Parisi,et al.  WAVES: weighted average of signal subspaces for robust wideband direction finding , 2001, IEEE Trans. Signal Process..

[101]  Bin Yang,et al.  Projection approximation subspace tracking , 1995, IEEE Trans. Signal Process..

[102]  Sören Anderson On optimal dimension reduction for sensor array signal processing , 1993, Signal Process..

[103]  Raviv Raich,et al.  Bearing estimation for a distributed source: modeling, inherent accuracy limitations and algorithms , 2000, IEEE Trans. Signal Process..

[104]  V. Katkovnik,et al.  A local polynomial approximation based beamforming for source localization and tracking in nonstationary environments , 2000, IEEE Signal Processing Letters.

[105]  Kon Max Wong,et al.  Determination of the number of signals in unknown noise environments-PARADE , 1995, IEEE Trans. Signal Process..

[106]  Björn E. Ottersten,et al.  Sensor array processing based on subspace fitting , 1991, IEEE Trans. Signal Process..

[107]  Benjamin Friedlander,et al.  Direction finding algorithms based on high-order statistics , 1991, IEEE Trans. Signal Process..

[108]  J. Yin,et al.  Direction-of-Arrival Estimation Using a Sparse Representation of Array Covariance Vectors , 2011, IEEE Transactions on Signal Processing.

[109]  Alan Edelman,et al.  Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples , 2007, IEEE Transactions on Signal Processing.

[110]  Stephan V. Schell,et al.  Performance analysis of the cyclic MUSIC method of direction estimation for cyclostationary signals , 1994, IEEE Trans. Signal Process..

[111]  Björn E. Ottersten,et al.  Detection and estimation in sensor arrays using weighted subspace fitting , 1991, IEEE Trans. Signal Process..

[112]  Michael D. Zoltowski,et al.  Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT , 1996, IEEE Trans. Signal Process..

[113]  Jerry M. Mendel,et al.  Cumulant-based blind optimum beamforming , 1994 .

[114]  T. Parks,et al.  Direction finding with an array of antennas having diverse polarizations , 1983 .

[115]  Alfred O. Hero,et al.  Space-alternating generalized expectation-maximization algorithm , 1994, IEEE Trans. Signal Process..

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

[117]  Pei Jung Chung Stochastic Maximum Likelihood Estimation Under Misspecified Numbersof Signals , 2007, IEEE Transactions on Signal Processing.

[118]  B. Zhou,et al.  Tracking the direction of arrival of multiple moving targets , 1994, IEEE Trans. Signal Process..

[119]  Johann F. Böhme,et al.  EM dual maximum likelihood estimation for wideband source location , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[120]  Jar-Ferr Yang,et al.  Performance analyses of beamformers using effective SINR on array parameters , 1995, IEEE Trans. Signal Process..

[121]  Surendra Prasad,et al.  An improved spatial smoothing technique for bearing estimation in a multipath environment , 1988, IEEE Trans. Acoust. Speech Signal Process..

[122]  Christoph F. Mecklenbräuker,et al.  Broadband ML estimation under model order uncertainty , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[123]  Johann F. Böhme,et al.  Separated estimation of wave parameters and spectral parameters by maximum likelihood , 1986, ICASSP.

[124]  Petre Stoica,et al.  Decoupled estimation of DOA and angular spread for spatially distributed sources , 1999, Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020).

[125]  A. Lee Swindlehurst,et al.  Subspace Fitting with Diversely Polarized Antenna Arrays , 1993 .

[126]  Johann F. Böhme,et al.  On least squares methods for direction of arrival estimation in the presence of unknown noise fields , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[127]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[128]  Louis L. Scharf,et al.  On the complexity of IQML algorithms , 1992, IEEE Trans. Signal Process..

[129]  K. M. Wong,et al.  Estimation of the directions of arrival of spatially dispersed signals in array processing , 1996 .

[130]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[131]  C. H. Sherman,et al.  Spatial‐Correlation Functions for Various Noise Models , 1962 .

[132]  Kevin Buckley,et al.  Bias analysis of the MUSIC location estimator , 1992, IEEE Trans. Signal Process..

[133]  Johann F. Böhme,et al.  Estimation of source parameters by maximum likelihood and nonlinear regression , 1984, ICASSP.

[134]  A. Nehorai,et al.  Magnetoencephalography with diversely oriented and multicomponent sensors , 1997, IEEE Transactions on Biomedical Engineering.

[135]  Michael D. Zoltowski,et al.  On the performance analysis of the MVDR beamformer in the presence of correlated interference , 1988, IEEE Trans. Acoust. Speech Signal Process..

[136]  Michael D. Zoltowski,et al.  Eigenstructure techniques for 2-D angle estimation with uniform circular arrays , 1994, IEEE Trans. Signal Process..

[137]  Mats Viberg,et al.  On the resolution of The LASSO-based DOA estimation method , 2011, 2011 International ITG Workshop on Smart Antennas.

[138]  Yingbo Hua The most efficient implementation of the IQML algorithm , 1994, IEEE Trans. Signal Process..

[139]  Pei Jung Chung,et al.  Comparative convergence analysis of EM and SAGE algorithms in DOA estimation , 2001, IEEE Trans. Signal Process..

[140]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

[141]  Michael I. Miller,et al.  Maximum-likelihood narrow-band direction finding and the EM algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[142]  R. Lacoss DATA ADAPTIVE SPECTRAL ANALYSIS METHODS , 1971 .

[143]  J. Böhme,et al.  MAXIMUM LIKELIHOOD LOCATION ESTIMATION OF WIDEBAND SOURCES USING THE EM ALGORITHM , 1992 .

[144]  Kon Max Wong,et al.  Blind adaptive beamforming for cyclostationary signals , 1996, IEEE Trans. Signal Process..

[145]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[146]  Laurent Albera,et al.  On the virtual array concept for higher order array processing , 2005, IEEE Transactions on Signal Processing.

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

[148]  M. Wax,et al.  Maximum likelihood localization of diversely polarized sources by simulated annealing , 1990 .

[149]  Douglas B. Williams,et al.  Using the sphericity test for source detection with narrow-band passive arrays , 1990, IEEE Trans. Acoust. Speech Signal Process..

[150]  Mati Wax Detection and localization of multiple sources in noise with unknown covariance , 1992, IEEE Trans. Signal Process..

[151]  Alfred O. Hero,et al.  Detection of the Number of Signals Using the Benjamini-Hochberg Procedure , 2007, IEEE Transactions on Signal Processing.

[152]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[153]  Henry Leung,et al.  Tracking the direction-of-arrival of multiple moving targets by passive arrays: algorithm , 1999, IEEE Trans. Signal Process..

[154]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[155]  Anthony J. Weiss,et al.  On focusing matrices for wide-band array processing , 1992, IEEE Trans. Signal Process..

[156]  Jian Li,et al.  On robust Capon beamforming and diagonal loading , 2003, IEEE Trans. Signal Process..

[157]  Bhaskar D. Rao,et al.  Performance analysis of ESPRIT and TAM in determining the direction of arrival of plane waves in noise , 1989, IEEE Trans. Acoust. Speech Signal Process..

[158]  Abdelhak M. Zoubir,et al.  Detection of sources using bootstrap techniques , 2002, IEEE Trans. Signal Process..

[159]  Bjorn Ottersten,et al.  Exact and Large Sample ML Techniques for Parameter Estimation and Detection in Array Processing , 1993 .

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

[161]  James E. Evans,et al.  Application of Advanced Signal Processing Techniques to Angle of Arrival Estimation in ATC Navigation and Surveillance Systems , 1982 .

[162]  Roland Badeau,et al.  A new perturbation analysis for signal enumeration in rotational invariance techniques , 2006, IEEE Transactions on Signal Processing.

[163]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[164]  Yoram Bresler,et al.  Exact maximum likelihood parameter estimation of superimposed exponential signals in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[165]  Thiagalingam Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation , 2001 .

[166]  Ramdas Kumaresan,et al.  An algorithm for pole-zero modeling and spectral analysis , 1986, IEEE Trans. Acoust. Speech Signal Process..

[167]  Yoram Bresler,et al.  On the number of signals resolvable by a uniform linear array , 1986, IEEE Trans. Acoust. Speech Signal Process..

[168]  Björn E. Ottersten,et al.  Covariance Matching Estimation Techniques for Array Signal Processing Applications , 1998, Digit. Signal Process..

[169]  Arthur Jay Barabell,et al.  Improving the resolution performance of eigenstructure-based direction-finding algorithms , 1983, ICASSP.

[170]  Johann F. Boehme Statistical array signal processing of measured sonar and seismic data , 1995, Optics & Photonics.

[171]  Steven Kay,et al.  Source Enumeration via the EEF Criterion , 2008, IEEE Signal Processing Letters.

[172]  Anthony J. Weiss,et al.  Performance analysis of diversely polarized antenna arrays , 1991, IEEE Trans. Signal Process..

[173]  Thomas Kailath,et al.  Direction of arrival estimation by eigenstructure methods with unknown sensor gain and phase , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[174]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[175]  D. Brillinger Time series - data analysis and theory , 1981, Classics in applied mathematics.

[176]  Dmitry M. Malioutov,et al.  A sparse signal reconstruction perspective for source localization with sensor arrays , 2005, IEEE Transactions on Signal Processing.

[177]  Michael D. Zoltowski,et al.  Beamspace Root-MUSIC , 1993, IEEE Trans. Signal Process..

[178]  Björn E. Ottersten,et al.  Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data , 1992, IEEE Trans. Signal Process..

[179]  Kevin Buckley,et al.  An Analysis of Beam-Space Source Localization , 1993, IEEE Trans. Signal Process..

[180]  Arye Nehorai,et al.  Identifiability in array processing models with vector-sensor applications , 1996, IEEE Trans. Signal Process..

[181]  A. A. Beex,et al.  Instrumental variable adaptive array processing , 1988 .

[182]  New York Dover,et al.  ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHM , 1983 .

[183]  Jian Li,et al.  Efficient parameter estimation of partially polarized electromagnetic waves , 1994, IEEE Trans. Signal Process..

[184]  D. Lawley TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES , 1956 .

[185]  Randolph L. Moses,et al.  Efficient maximum likelihood DOA estimation for signals with known waveforms in the presence of multipath , 1997, IEEE Trans. Signal Process..

[186]  N. L. Owsley AN OVERVIEW OF OPTIMUM-ADAPTIVE CONTROL IN SONAR ARRAY PROCESSING , 1980 .

[187]  Shan Ouyang,et al.  Bi-iterative least-square method for subspace tracking , 2005, IEEE Transactions on Signal Processing.

[188]  R. Kumaresan,et al.  Estimating the Angles of Arrival of Multiple Plane Waves , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[189]  Yide Wang,et al.  Efficient Subspace-Based Estimator for Localization of Multiple Incoherently Distributed Sources , 2008, IEEE Transactions on Signal Processing.

[190]  Xiao-Li Meng,et al.  The EM Algorithm—an Old Folk‐song Sung to a Fast New Tune , 1997 .

[191]  Ilkka Karasalo,et al.  Estimating the covariance matrix by signal subspace averaging , 1986, IEEE Trans. Acoust. Speech Signal Process..

[192]  S.S. Reddi,et al.  Multiple Source Location-A Digital Approach , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[193]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[194]  James H. McClellan,et al.  TOPS: new DOA estimator for wideband signals , 2006, IEEE Transactions on Signal Processing.

[195]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[196]  Christoph F. Mecklenbräuker,et al.  Matrix fitting approach to direction of arrival estimation with imperfect spatial coherence of wavefronts , 1997, IEEE Trans. Signal Process..

[197]  Thomas Kailath,et al.  Adaptive beamforming for coherent signals and interference , 1985, IEEE Trans. Acoust. Speech Signal Process..

[198]  M. Jansson,et al.  Array interpolation and DOA MSE reduction , 2005, IEEE Transactions on Signal Processing.

[199]  Joel A. Tropp,et al.  Just relax: convex programming methods for identifying sparse signals in noise , 2006, IEEE Transactions on Information Theory.