An Angular Parameter Estimation Method for Incoherently Distributed Sources Via Generalized Shift Invariance

This paper proposes a new algorithm to estimate the nominal direction-of-arrival (DOA) and the angular spread of multiple incoherently distributed (ID) sources. With the general array manifold (GAM) model, the nominal DOAs are first separated from the original array manifold. Then, a generalized shift invariance property inside the array manifold is identified, based on which the nominal DOAs are obtained when the rank of a trickily formulated matrix drops. Next, the angular spreads are estimated from the central moments of the angular distribution. We also derive a polynomial rooting based search-free method for nominal DOA estimation. This method can greatly reduce the computational complexity. As compared with the popular ESPRIT-ID algorithm, the proposed algorithm can achieve higher accuracy, can handle more sources, and applies to a more general array structure. Extensive simulations are provided to demonstrate the superior performance of the proposed algorithm over the existing works.

[1]  Klaus I. Pedersen,et al.  Analysis of Time, Azimuth and Doppler Dispersion in Outdoor Radio Channels , 1997 .

[2]  Björn E. Ottersten,et al.  The spectrum efficiency of a base station antenna array system for spatially selective transmission , 1994, Proceedings of IEEE Vehicular Technology Conference (VTC).

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

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

[5]  Yide Wang,et al.  Some New Techniques of Localization of Spatially Distributed Sources , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[6]  Iickho Song,et al.  Distributed source modeling and direction-of-arrival estimation techniques , 1997, IEEE Trans. Signal Process..

[7]  Byung-Woong Choi,et al.  Decoupled parameter estimation of multiple distributed sources for uniform linear array with low complexity , 2008 .

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

[9]  Klaus I. Pedersen,et al.  Spatial channel characteristics in outdoor environments and their impact on BS antenna system performance , 1998, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151).

[10]  Yide Wang,et al.  On the ambiguity of COMET-EXIP algorithm for estimating a scattered source , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[11]  Shahrokh Valaee,et al.  A covariance fitting approach to parametric localization of multiple incoherently distributed sources , 2004, IEEE Transactions on Signal Processing.

[12]  Gordon L. Stüber,et al.  Subscriber location in CDMA cellular networks , 1998 .

[13]  Feifei Gao,et al.  A generalized ESPRIT approach to direction-of-arrival estimation , 2005, IEEE Signal Processing Letters.

[14]  Sang Woo Kim,et al.  Equally constrained affine projection algorithm , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

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

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

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

[18]  Bjorn Ottersten,et al.  Rooting techniques for estimation of angular spread with an antenna array , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[19]  Feifei Gao,et al.  Blind maximum likelihood CFO estimation for OFDM systems via polynomial rooting , 2006, IEEE Signal Processing Letters.

[20]  Shi Jin,et al.  Channel Estimation for Massive MIMO Using Gaussian-Mixture Bayesian Learning , 2015, IEEE Transactions on Wireless Communications.

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

[22]  Bamrung Tau Sieskul.  An Asymptotic Maximum Likelihood for Joint Estimation of Nominal Angles and Angular Spreads of Multiple Spatially Distributed Sources , 2010, IEEE Transactions on Vehicular Technology.

[23]  Tiejun Lv,et al.  An ESPRIT-Based Approach for 2-D Localization of Incoherently Distributed Sources in Massive MIMO Systems , 2014, IEEE Journal of Selected Topics in Signal Processing.

[24]  J. D. Parsons,et al.  Crosscorrelation between the envelopes of 900 MHz signals received at a mobile radio base station site , 1986 .

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

[26]  J. H. Winters,et al.  Effect of fading correlation on adaptive arrays in digital wireless communications , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

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

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

[29]  Yide Wang,et al.  Robust generalised Capon algorithm for estimating the angular parameters of multiple incoherently distributed sources , 2008 .

[30]  Marius Pesavento,et al.  Direction finding in partly calibrated sensor arrays composed of multiple subarrays , 2002, IEEE Trans. Signal Process..

[31]  Shahrokh Valaee,et al.  Parametric localization of multiple incoherently distributed sources using covariance fitting , 2002, Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002.

[32]  Bjorn Ottersten,et al.  Generalised array manifold model for wireless communication channels with local scat-tering , 1998 .

[33]  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).

[34]  Kenichi Kagoshima,et al.  Diversity antennas for base and mobile stations in land mobile communication systems , 1991 .

[35]  Björn E. Ottersten,et al.  A generalization of weighted subspace fitting to full-rank models , 2001, IEEE Trans. Signal Process..

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