PARAFAC-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization

Signal Processing

Volumn 87, Issue 2, 2007, Pages 337-351

  de Almeida, André L F ^a   Favier, Gérard ^a   Mota, João Cesar M ^b  

^a UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

^b FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

Alternating least squares; Antenna arrays; Blind equalization; Direct sequence spreading; Frequency selective multipath; Multicarrier modulation; Oversampling; Parallel factor analysis; Subspace; Tensor modeling; Wireless communications

Indexed keywords

ANTENNA ARRAYS; MULTICARRIER MODULATION; MULTIPATH PROPAGATION; NATURAL FREQUENCIES; TENSORS;

ALTERNATING LEAST SQUARES; BLIND EQUALIZATION; DIRECT-SEQUENCE SPREADING; FREQUENCY-SELECTIVE MULTIPATH; OVERSAMPLING; PARALLEL FACTOR ANALYSIS; SUBSPACE; TENSOR MODELING;

WIRELESS TELECOMMUNICATION SYSTEMS;

EID: 33750148453     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2005.12.014     Document Type: Article

References (31)

1. Paulraj A.J., and Papadias C.B. Space-time processing for wireless communications. IEEE Signal Process. Mag. 14 (1997) 49-83
2. Talwar S., Viberg M., and Paulraj A.J. Blind separation of synchronous co-channel digital signals using an antenna array-Part I: algorithms. IEEE Trans. Signal Process. 44 (1996) 1184-1197
3. van der Veen A.-J. A subspace approach for blind space-time signal processing. IEEE Trans. Signal Process. 45 1 (1997) 173-190
4. Carroll J.D., and Chang J. Analysis of individual differences in multi-dimensional scaling via an n-way generalization of Eckart-Young decomposition. Psychometrika 35 3 (1970) 283-319
5. R.A. Harshman, Foundations of the PARAFAC procedure: model and conditions for an "explanatory" multi-mode factor analysis, UCLA Working Papers in Phonetics, vol. 16, no. 1, 1970, pp. 1-84.
6. R. Bro, Multi-way analysis in the food industry: models, algorithms and applications, Ph.D. Thesis, University of Amsterdam, Netherlands, 1998.
7. N.D. Sidiropoulos, Low-rank decomposition of multi-way arrays: a signal processing perspective, SAM 2004, Barcelona, Spain, July 2004.
8. Sidiropoulos N.D., Giannakis G.B., and Bro R. Parallel factor analysis in sensor array processing. IEEE Trans. Signal Process. 48 8 (2000) 2377-2388
9. Roy R., and Kailath T. ESPRIT-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoustics Speech Signal Process. 37 (1989) 984-995
10. Sidiropoulos N.D., Bro R., and Giannakis G.B. Blind PARAFAC receivers for DS/CDMA systems. IEEE Trans. Signal Process. 48 3 (2000) 810-823
11. Sidiropoulos N.D., and Dimic G.Z. Blind multi-user detection in WCDMA systems with large delay spread. IEEE Signal Process. Lett. 8 3 (2001) 87-89
12. A. de Baynast, L. De Lathauwer, Détection autodidacte pour des systèmes à accès multiple basée sur l'analyse PARAFAC, Proceedings of XIX GRETSI Symposium on Signal and Image Processing, Paris, France, September 2003.
13. A. de Baynast, L. De Lathauwer, B. Aazhang, Blind PARAFAC receivers for multiple access-multiple antenna systems, in: Proceedings of VTC Fall 2003, Orlando, USA, October 2003.
14. T. Jiang, N.D. Sidiropoulos, A direct semi-blind receiver for SIMO and MIMO OFDM systems subject to frequency offset, in: Proceedings of SPAWC 2003, Rome, Italy, June 2003.
15. Proakis J.G. Digital Communications. fourth ed. (2001), McGraw-Hill, New York
16. van Nee R.D., and Prasad R. OFDM for Wireless Multimedia Communications. first ed. (2000), Artech House, MA
17. Sidiropoulos N.D., and Liu X. Identifiability results for blind beamforming in incoherent multipath with small delay spread. IEEE Trans. Signal Process. 49 1 (January 2001) 228-236
18. Kruskal J.B. Three-way arrays: rank and uniqueness of trilinear decompositions with applications to arithmetic complexity and statistics. Linear Algebra Appl. 18 (1977) 95-138
19. R.A. Harshman, "Determination and proof of minimum uniqueness conditions for PARAFAC1, UCLA Working Papers in Phonetics, no. 22, 1972, pp. 111-117.
20. ten Berge J.M.F., and Sidiropoulos N.D. On uniqueness in CANDECOMP/PARAFAC. Psychometrika 67 (2002) 399-409
21. Jiang T., and Sidiropoulos N.D. Kruskal's permutation lemma and the identification of CANDECOMP/PARAFAC and bilinear models with constant modulus constraints. IEEE Trans. Signal Process. 52 9 (2004) 2625-2636
22. Sidiropoulos N.D., and Bro R. On the uniqueness of multilinear decomposition of N-way arrays. J. Chemometrics 14 (2000) 229-239
23. Liu X., and Sidiropoulos N.D. Cramer-Rao bounds for low-rank decomposition of multidimensional arrays. IEEE Trans. Signal Process 49 9 (2001) 2074-2086
24. R. Bro, R.A. Harshman, N.D. Sidiropoulos, Modeling multi-way data with linearly dependent loadings, Technical Report, KVL, Copenhagen, Denmark, 2005.
25. A.L.F. de Almeida, G. Favier, J.C.M. Mota, Generalized PARAFAC model for multidimensional wireless communications with application to blind multiuser equalization, in: Proceedings of 39th ASILOMAR Conference on Signal System and Computer, Pacific Grove, CA, 2005.
26. D. Astèly, On antenna arrays in mobile communication systems: fast fading and GSM base station receiver algorithms, Royal Institute of Technology, Stockholm, Sweden, IR-S3-SB-9611, 1996.
27. J. Fuhl, A.F. Molisch, E. Bonek, Unified channel model for mobile radio systems with smart antennas, in: Proceedings of the Institute of Electronic Engineers, vol. 145, February 1998, pp. 32-41.
28. Bolcskei H., Fuhl, Gesbert D., and Paulraj A.J. On the Capacity of OFDM-Based Spatial Multiplexing Systems. IEEE Trans. Commun. 50 2 (February 2002) 225-234
29. Ertel R.B., Cardieri P., Sowerby K.W., Rappaport T.S., and Reed J.H. Overview of spatial channel models for antenna array communication systems. IEEE Personal Commun. 5 1 (February 1998) 10-22
30. Moulines E., Duhamel P., Cardoso J.-F., and Mayrargue S. Subspace methods for blind identification of multichannel FIR filters. IEEE Trans. Signal Process. 43 2 (1995) 516-525
31. G. Favier, Calcul matriciel et tensoriel avec applications à l'automatique et au traitement du signal, under preparation, 2006.