Finite multi-coset sampling and sparse arrays
Signals with sparse but otherwise unknown frequency content are well-represented by multi-coset samples, and efficient algorithms can be used to recover the underlying sparsity structure. While such sampling is usually analyzed over a sampling interval sufficiently large that edge effects can be ign...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2012
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| Online Access: | http://hdl.handle.net/1721.1/73600 https://orcid.org/0000-0001-9166-4758 |
| _version_ | 1826217255745093632 |
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| author | Kochman, Yuval Wornell, Gregory W. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Kochman, Yuval Wornell, Gregory W. |
| author_sort | Kochman, Yuval |
| collection | MIT |
| description | Signals with sparse but otherwise unknown frequency content are well-represented by multi-coset samples, and efficient algorithms can be used to recover the underlying sparsity structure. While such sampling is usually analyzed over a sampling interval sufficiently large that edge effects can be ignored, in this work we develop how to take into account finite-window effects in system design. Such considerations are particularly important in the context of antenna arrays, and we analyze the associated redundancy. Additionally, we describe an efficient MIMO radar implementation of multi-coset arrays. As an example application of our results, we develop a natural two-stage architecture for direction-of-arrival estimation in sparse environments using a multi-coset array over the available aperture. |
| first_indexed | 2024-09-23T17:00:29Z |
| format | Article |
| id | mit-1721.1/73600 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:00:29Z |
| publishDate | 2012 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/736002022-09-29T23:01:38Z Finite multi-coset sampling and sparse arrays Kochman, Yuval Wornell, Gregory W. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Kochman, Yuval Wornell, Gregory W. Signals with sparse but otherwise unknown frequency content are well-represented by multi-coset samples, and efficient algorithms can be used to recover the underlying sparsity structure. While such sampling is usually analyzed over a sampling interval sufficiently large that edge effects can be ignored, in this work we develop how to take into account finite-window effects in system design. Such considerations are particularly important in the context of antenna arrays, and we analyze the associated redundancy. Additionally, we describe an efficient MIMO radar implementation of multi-coset arrays. As an example application of our results, we develop a natural two-stage architecture for direction-of-arrival estimation in sparse environments using a multi-coset array over the available aperture. Semiconductor Research Corporation. Center for Circuits and Systems Solutions Hewlett-Packard Company 2012-10-04T15:53:18Z 2012-10-04T15:53:18Z 2011-04 2011-02 Article http://purl.org/eprint/type/ConferencePaper 978-1-4577-0361-4 978-1-4577-0360-7 http://hdl.handle.net/1721.1/73600 Kochman, Yuval, and Gregory W. Wornell. “Finite Multi-coset Sampling and Sparse Arrays.” Information Theory and Applications Workshop (ITA), 2011. 1–7. https://orcid.org/0000-0001-9166-4758 en_US http://dx.doi.org/10.1109/ITA.2011.5743619 Proceedings of the Information Theory and Applications Workshop (ITA), 2011 Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) Other University Web Domain |
| spellingShingle | Kochman, Yuval Wornell, Gregory W. Finite multi-coset sampling and sparse arrays |
| title | Finite multi-coset sampling and sparse arrays |
| title_full | Finite multi-coset sampling and sparse arrays |
| title_fullStr | Finite multi-coset sampling and sparse arrays |
| title_full_unstemmed | Finite multi-coset sampling and sparse arrays |
| title_short | Finite multi-coset sampling and sparse arrays |
| title_sort | finite multi coset sampling and sparse arrays |
| url | http://hdl.handle.net/1721.1/73600 https://orcid.org/0000-0001-9166-4758 |
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