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Adjugate pairs of sparse arrays for sampling two dimensional signals

Vaidyanathan, P. P. and Pal, Piya (2011) Adjugate pairs of sparse arrays for sampling two dimensional signals. In: 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE , Piscataway, NJ, pp. 3936-3939. ISBN 978-1-4577-0539-7 . https://resolver.caltech.edu/CaltechAUTHORS:20170307-171108058

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Abstract

Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a pair of arrays, and is useful in array processing and image processing applications. For example, the coarray allows one to identify many more sources than sensors. After a brief review of these fundamentals, this paper examines the case where the two arrays are generated by matrices that are adjugates of each other. In this case it is possible to obtain a dense rectangular tiling of the 2D frequency plane from a pair of coarse 2D DFT filter banks. The special case where the adjugate pairs are generated by skew circulant matrices has some advantages, which are examined in detail.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ICASSP.2011.5947213DOIArticle
http://ieeexplore.ieee.org/document/5947213/PublisherArticle
Additional Information:© 2011 IEEE. This work is supported in parts by the ONR grant N00014-08-1-0709, and California Institute of Technology.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-08-1-0709
CaltechUNSPECIFIED
Subject Keywords:Sparse sensing, adjugates, lattice arrays, multidimensional arrays, coarrays, DFT filter banks
Record Number:CaltechAUTHORS:20170307-171108058
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170307-171108058
Official Citation:P. P. Vaidyanathan and P. Pal, "Adjugate pairs of sparse arrays for sampling two dimensional signals," 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Prague, Czech Republic, 2011, pp. 3936-3939. doi: 10.1109/ICASSP.2011.5947213
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:74880
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:08 Mar 2017 03:40
Last Modified:03 Oct 2019 16:44

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