Optimal joint azimuth-elevation and signal-array response estimation using parallel factor analysis

We consider deterministic joint azimuth-elevation, signal, and array response estimation, and establish a direct link to parallel factor (PARAFAC) analysis, a tool with roots in linear algebra for multi-way arrays. This link affords a powerful identifiability result, plus the opportunity to tap on and extend the available expertise for fitting the PARAFAC model, to derive a deterministic (least squares) joint estimation algorithm, also applicable to multiple-parameter/multiple-invariance ESPRIT subspace fitting problems. These and other issues are demonstrated in pertinent simulation experiments.

[1]  Pierre Comon,et al.  Blind channel identification and extraction of more sources than sensors , 1998, Optics & Photonics.

[2]  Josef A. Nossek,et al.  2D unitary ESPRIT for efficient 2D parameter estimation , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[3]  Michael D. Zoltowski,et al.  Closed-form multi-dimensional multi-invariance ESPRIT , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[4]  Richard A. Harshman,et al.  Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .

[5]  R. Bro PARAFAC. Tutorial and applications , 1997 .

[6]  J. Kruskal Rank, decomposition, and uniqueness for 3-way and n -way arrays , 1989 .

[7]  Georgios B. Giannakis,et al.  Deterministic waveform-preserving blind separation of DS-CDMA signals using an antenna array , 1998, Ninth IEEE Signal Processing Workshop on Statistical Signal and Array Processing (Cat. No.98TH8381).

[8]  Björn E. Ottersten,et al.  Multiple invariance ESPRIT , 1992, IEEE Trans. Signal Process..

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

[10]  L. Lathauwer,et al.  Signal Processing based on Multilinear Algebra , 1997 .

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

[12]  Ed F. Deprettere,et al.  Azimuth and elevation computation in high resolution DOA estimation , 1992, IEEE Trans. Signal Process..

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