Angle–Frequency Estimation Using Trilinear Decomposition of the Oversampled Output

This letter links joint angle and frequency estimation problem to the trilinear model and derives a novel blind joint angle and frequency estimation algorithm. Angle and frequency are obtained based on trilinear decomposition of a trilinear model, which is constructed based on oversampling the system output. The proposed algorithm has better performance, and supports small sample sizes. The useful behavior of the proposed algorithm is verified by simulations.

[1]  Nikos D. Sidiropoulos,et al.  Robust iterative fitting of multilinear models , 2005, IEEE Transactions on Signal Processing.

[2]  Xiaofei Zhang,et al.  Blind PARAFAC Signal Detection for Polarization Sensitive Array , 2007, EURASIP J. Adv. Signal Process..

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

[4]  Mustapha Djeddou,et al.  Maximum likelihood angle-frequency estimation in partially known correlated noise for low-elevation targets , 2005, IEEE Transactions on Signal Processing.

[5]  Xiaofei Zhang,et al.  Blind Source Separation for Two-Dimension Spread Spectrum System Based on Trilinear Decomposition , 2008, J. Circuits Syst. Comput..

[6]  Ed F. Deprettere,et al.  Analysis of joint angle-frequency estimation using ESPRIT , 2003, IEEE Trans. Signal Process..

[7]  Wang Yongliang,et al.  Frequency and 2-d angle estimation based on uniform circular array , 2003, IEEE International Symposium on Phased Array Systems and Technology, 2003..

[8]  Ed F. Deprettere,et al.  Joint angle-frequency estimation using multi-resolution ESPRIT , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[9]  Bao Feng,et al.  Blind Joint Symbol Detection and DOA Estimation for OFDM System with Antenna Array , 2008, Wirel. Pers. Commun..

[10]  Xiaofei Zhang,et al.  Deterministic Blind Beamforming for Electromagnetic Vector Sensor Array , 2008 .

[11]  J. Kruskal Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics , 1977 .

[12]  Xiaofei Zhang,et al.  NOVEL BLIND JOINT DIRECTION OF ARRIVAL AND POLARIZATION ESTIMATION FOR POLARIZATION-SENSITIVE UNIFORM CIRCULAR ARRAY , 2008 .

[13]  Michael D. Zoltowski,et al.  Real-time frequency and 2-D angle estimation with sub-Nyquist spatio-temporal sampling , 1994, IEEE Trans. Signal Process..

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

[15]  G. Giannakis,et al.  A FAST LEAST SQUARES ALGORITHM FOR SEPARATING TRILINEAR MIXTURES , 2004 .