article · IEEE Transactions on Signal Processing · 2000

Parallel factor analysis in sensor array processing

Nicholas D. Sidiropoulos, Rasmus Bro, Georgios B. Giannakis

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Abstract

This paper links multiple invariance sensor array processing (MI-SAP) to parallel factor (PARAFAC) analysis, which is a tool rooted in psychometrics and chemometrics. PARAFAC is a common name for low-rank decomposition of three- and higher way arrays. This link facilitates the derivation of powerful identifiability results for MI-SAP, shows that the uniqueness of single- and multiple-invariance ESPRIT stems from uniqueness of low-rank decomposition of three-way arrays, and allows tapping on the available expertise for fitting the PARAFAC model. The results are applicable to both data-domain and subspace MI-SAP formulations. The paper also includes a constructive uniqueness proof for a special PARAFAC model.

Cite this paper

APA 7

Sidiropoulos, N. D., Bro, R., & Giannakis, G. B. (2000). Parallel factor analysis in sensor array processing. IEEE Transactions on Signal Processing, 48(8), 2377–2388. https://doi.org/10.1109/78.852018

MLA 9

Sidiropoulos, Nicholas D., et al. “Parallel factor analysis in sensor array processing.” IEEE Transactions on Signal Processing, vol. 48, no. 8, 2000, pp. 2377–88, https://doi.org/10.1109/78.852018.

Chicago

Sidiropoulos, Nicholas D., Rasmus Bro, and Georgios B. Giannakis. 2000. “Parallel factor analysis in sensor array processing.” IEEE Transactions on Signal Processing 48 (8): 2377–88. https://doi.org/10.1109/78.852018.

Harvard

Sidiropoulos, N.D., Bro, R. and Giannakis, G.B. (2000) ‘Parallel factor analysis in sensor array processing’, IEEE Transactions on Signal Processing, 48(8), pp. 2377–2388. Available at: https://doi.org/10.1109/78.852018.

BibTeX

@article{sidiropoulos2000parallel,
  title = {{Parallel factor analysis in sensor array processing}},
  author = {Sidiropoulos, Nicholas D. and Bro, Rasmus and Giannakis, Georgios B.},
  journal = {IEEE Transactions on Signal Processing},
  volume = {48},
  number = {8},
  pages = {2377--2388},
  year = {2000},
  doi = {10.1109/78.852018}
}

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