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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2377-2388 |
| Number of pages | 12 |
| Journal | IEEE Transactions on Signal Processing |
| Volume | 48 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2000 |
Bibliographical note
Funding Information:Manuscript received January 21, 1999; revised March 27, 2000. Part of this paper was presented at the 32nd Asilomar Conference on Signals, Systems, and Computers, November 1-4, 1998, Monterey, CA. This work was supported by NSF CAREER CCR 9733540, NSF CCR 9805350, the Nordic Industry Foundation Project P93-149, and the F;TEK Foundation through Prof. L. Munck. The associate editor coordinating the review of this paper and approving it for publication was Dr. Alex B. Gershman.