Abstract
In a recent paper by Jiang et al. in this Transactions, it has been shown that up to ⌊K/2⌋ ⌈L/2⌉ two-dimensional (2-D) exponentials are almost surely identifiable from a K × L mixture, assuming regular sampling at or above Nyquist in both dimensions. This holds for damped or undamped exponentials. As a complement, in this correspondence, we show that up to ⌈K/2⌉ ⌈L/2⌉ undamped exponentials can be uniquely recovered almost surely. Multidimensional conjugate folding is used to achieve this improvement. The main result is then generalized to N > 2 dimensions. The gain is interesting from a theoretical standpoint but also for small 2-D sensor arrays or higher dimensions and odd sample sizes.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2366-2368 |
| Number of pages | 3 |
| Journal | IEEE Transactions on Signal Processing |
| Volume | 50 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2002 |
Bibliographical note
Funding Information:Manuscript received December 11, 2001; revised June 1, 2002. This work was supported by NSF/Wireless under Grant CCR-0096164, subcontract participation in the ARL Communications and Networks CTA, and DARPA/ATO under Contract MDA 972-01-0056. The associate editor coordinating the review of this paper and approving it for publication was Dr. Olivier Cappe.
Keywords
- Array signal processing
- Frequency estimation
- Harmonic analysis
- Multidimensional signal processing
- Spectral analysis