OMP-based DOA estimation performance analysis

In this paper, we present a new performance guarantee for Orthogonal Matching Pursuit (OMP) in the context of the Direction Of Arrival (DOA) estimation problem. For the first time, the effect of pa ...

[1]  Y. C. Pati,et al.  Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

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

[3]  Farokh Marvasti,et al.  NEW ANTI-ARM TECHNIQUE BY USING RANDOM PHASE AND AMPLITUDE ACTIVE DECOYS , 2008 .

[4]  Yonina C. Eldar,et al.  Coherence-Based Performance Guarantees for Estimating a Sparse Vector Under Random Noise , 2009, IEEE Transactions on Signal Processing.

[5]  Stephen J. Wright,et al.  Sparse reconstruction by separable approximation , 2009, IEEE Trans. Signal Process..

[6]  Mohammad Javad Emadi,et al.  Coupling compensation for unmatched circular arrays in high-frequency applications , 2012 .

[7]  Hubert Kaeslin,et al.  High-speed compressed sensing reconstruction on FPGA using OMP and AMP , 2012, 2012 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 2012).

[8]  Wei-Ping Zhu,et al.  Direction of Arrival Estimation for Off-Grid Signals Based on Sparse Bayesian Learning , 2016, IEEE Sensors Journal.

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

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

[11]  Farokh Marvasti,et al.  CO CHANNEL INTERFERENCE CANCELLATION BY THE USE OF ITERATIVE DIGITAL BEAM FORMING METHOD , 2008 .

[12]  Jian Li,et al.  SPICE: A Sparse Covariance-Based Estimation Method for Array Processing , 2011, IEEE Transactions on Signal Processing.

[13]  Shane F. Cotter Multiple snapshot matching pursuit for direction of arrival (DOA) estimation , 2007, 2007 15th European Signal Processing Conference.

[14]  S. Cotter A Two Stage Matching Pursuit Based Algorithm for DOA Estimation in Fast Time-Varying Environments , 2007, 2007 15th International Conference on Digital Signal Processing.

[15]  E. Candès,et al.  Stable signal recovery from incomplete and inaccurate measurements , 2005, math/0503066.

[16]  Lie Wang,et al.  Stable Recovery of Sparse Signals and an Oracle Inequality , 2010, IEEE Transactions on Information Theory.

[17]  Fulai Liu,et al.  LP-W- $\ell _{\infty }$ -SVD Algorithm for Direction-of-Arrival Estimation , 2017, IEEE Sensors Journal.

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

[19]  R. Tibshirani,et al.  Least angle regression , 2004, math/0406456.

[20]  Yue M. Lu,et al.  On Sparse Representation in Fourier and Local Bases , 2014, IEEE Transactions on Information Theory.

[21]  R. Gribonval,et al.  Exact Recovery Conditions for Sparse Representations With Partial Support Information , 2013, IEEE Transactions on Information Theory.

[22]  Babak Hossein Khalaj,et al.  A unified approach to sparse signal processing , 2009, EURASIP Journal on Advances in Signal Processing.

[23]  Michael Elad,et al.  Stable recovery of sparse overcomplete representations in the presence of noise , 2006, IEEE Transactions on Information Theory.

[24]  Michael A. Saunders,et al.  Atomic Decomposition by Basis Pursuit , 1998, SIAM J. Sci. Comput..

[25]  Bhaskar D. Rao,et al.  Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm , 1997, IEEE Trans. Signal Process..

[26]  Michael Elad,et al.  Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ1 minimization , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Jean-Jacques Fuchs Linear programming in spectral estimation. Application to array processing , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[28]  Jian Wang,et al.  Generalized Orthogonal Matching Pursuit , 2011, IEEE Transactions on Signal Processing.

[29]  Abbas Yongaçoglu,et al.  Estimation of Directions of Arrival by Matching Pursuit (EDAMP) , 2005, EURASIP J. Wirel. Commun. Netw..

[30]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[31]  Terence Tao,et al.  The Dantzig selector: Statistical estimation when P is much larger than n , 2005, math/0506081.

[32]  Jean-Jacques Fuchs,et al.  On the application of the global matched filter to DOA estimation with uniform circular arrays , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[33]  M. Emadi,et al.  DOA Estimation of Multi-Reflected Known Signals in Compact Arrays , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[34]  G. Karabulut,et al.  Angle of arrival detection by matching pursuit algorithm , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[35]  Abbes Amira,et al.  FPGA Implementation of Orthogonal Matching Pursuit for Compressive Sensing Reconstruction , 2015, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[36]  Yimin Liu,et al.  Adaptive Sparse Representation for Source Localization with Gain/Phase Errors , 2011, Sensors.

[37]  Qun Wan,et al.  Compressive Direction Finding Based on Amplitude Comparison , 2011, J. Networks.

[38]  Jussi Klemel,et al.  Smoothing of Multivariate Data: Density Estimation and Visualization , 2009 .

[39]  Joel A. Tropp,et al.  Greed is good: algorithmic results for sparse approximation , 2004, IEEE Transactions on Information Theory.

[40]  Christian Jutten,et al.  A Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed $\ell ^{0}$ Norm , 2008, IEEE Transactions on Signal Processing.