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Compressive Shift Retrieval
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology. Univ Calif Berkeley, CA 94720 USA .
Technion Israel Institute Technology, Israel .
University of Calif Berkeley, CA 94720 USA .
University of Calif Berkeley, CA 94720 USA .
2013 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, 6034-6038 p.Article in journal (Refereed) Published
Abstract [en]

The classical shift retrieval problem considers two signals in vector form that are related by a shift. This problem is of great importance in many applications and is typically solved by maximizing the cross-correlation between the two signals. Inspired by compressive sensing, in this paper, we seek to estimate the shift directly from compressed signals. We show that under certain conditions, the shift can be recovered using fewer samples and less computation compared to the classical setup. We also illustrate the concept of superresolution for shift retrieval. Of particular interest is shift estimation from Fourier coefficients. We show that under rather mild conditions only one Fourier coefficient suffices to recover the true shift.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2013. 6034-6038 p.
Keyword [en]
Parameter estimation; compressed sensing; signal processing algorithms; signal sampling
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:liu:diva-110701DOI: 10.1109/ICASSP.2013.6638823ISI: 000340845200006OAI: diva2:749237

Funding Agencies|Swedish Research Council in the Linnaeus center CADICS; European Research Council [267381]; Sweden-America Foundation; Swedish Research Council; FORCES (Foundations Of Resilient CybEr-physical Systems) - NSF [CNS-1239166]; Israel Science Foundation [170/10]; SRC; Intel Collaborative Research Institute for Computational Intelligence (ICRI-CI); Ollendorf Foundation; ARO [63092-MA-II]; DARPA [FA8650-11-1-7153]; ONR [N00014-13-1-0341]

Available from: 2014-09-23 Created: 2014-09-19 Last updated: 2014-12-02

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Ohlsson, Henrik
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