Performance Evaluation of 2-D DOA Estimation Algorithms in Noisy Channels

In this paper, an overview of three well-known two-dimensional Direction Of Arrival (DOA) estimation algo- rithms, namely, MUltiple SIgnal Classification (MUSIC), Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT) and Propagator Method (PM) is presented. In order to reduce the computational complexity of 2-D methods, azimuth and elevation estimations are extracted from two one-dimensional estimations. As the main objective of this investigation, considering 1-D realization of 2-D DOA estimation algorithms and simulation them in MATLAB soft- ware, the Root Mean Square Error (RMSE) performance of these methods is compared in three cases, uncorrelated, corre- lated and coherent signals in the presence of white Gaussian noise as well as colored noise. Simulation results show that for uncorrelated signals, MUSIC in low Signal to Noise Ratios (SNRs) and ESPRIT in high SNRs offer lower RMSE. In the case of coherent and correlated signals, ESPRIT is the best choice in all SNRs. Finally, for colored noise scenario, PM provides more accurate estimation for low SNRs, while ESPRIT has a lower RMSE for high SNRs compared to two other methods.

[1]  Shahriar Shirvani Moghaddam,et al.  Efficient Narrowband Direction of Arrival Estimation Based on a Combination of Uniform Linear/Shirvani-Akbari Arrays , 2012 .

[2]  Shahriar Shirvani Moghaddam,et al.  A novel ULA-based geometry for improving AOA estimation , 2011, EURASIP J. Adv. Signal Process..

[3]  Y. Hua,et al.  L-shaped array for estimating 2-D directions of wave arrival , 1989 .

[4]  Marius Pesavento,et al.  One- and two-dimensional direction-of-arrival estimation: An overview of search-free techniques , 2010, Signal Process..

[5]  Shahriar Shirvani Moghaddam,et al.  A Comprehensive Survey on Antenna Array Signal Processing , 2011 .

[6]  Xiao-Ye Xu,et al.  Two-dimensional direction of arrival estimation in the presence of uncorrelated and coherent signals , 2009 .

[7]  Julien Marot,et al.  Localization of Narrow-Band Sources in Unknown Spatially Correlated Noise , 2010, EURASIP J. Adv. Signal Process..

[8]  Shahriar Shirvani-Moghaddam,et al.  A Comprehensive Performance Study of Narrowband DOA Estimation Algorithms , 2011 .

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

[10]  Hassan M. Elkamchouchi,et al.  A deterministic approach for 2D-DOA estimation based on a V-shaped array and a virtual array concept , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

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

[13]  Ping Wei,et al.  2-D DOA Estimation via Matrix Partition and Stacking Technique , 2009, EURASIP J. Adv. Signal Process..

[14]  Nobuyoshi Kikuma,et al.  DOA estimation and pairing method in 2D‐ESPRIT using triangular antenna array , 2003 .

[15]  Messaoud Benidir,et al.  The propagator method for source bearing estimation , 1995, Signal Process..

[16]  Shahriar Shirvani Moghaddam,et al.  Determining the Number of Coherent/Correlated Sources Using FBSS-based Methods , 2013 .

[17]  S Shirvan Moghaddam,et al.  A COMPREHENSIVE PERFORMANCE STUDY OF NARROWBAND DOA ESTIMATION ALGORITHMS , 2011 .

[18]  Jun Cheng,et al.  DoA estimation based on 2D-ESPRIT algorithm with multiple subarrays in hexagonal array , 2010, 2010 International Conference on Wireless Communications & Signal Processing (WCSP).

[19]  Guisheng Liao,et al.  A fast algorithm for 2-D direction-of-arrival estimation , 2003, Signal Process..

[20]  N. Tayem,et al.  L-shape 2-dimensional arrival angle estimation with propagator method , 2005 .

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

[22]  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..