Analog compressed sensing for multiband signals with non-modulated Slepian basis

Xianjun Yang, Eryk Dutkiewicz, Qimei Cui, Xiaojing Huang, Xiaofeng Tao, Gengfa Fang

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

    1 Citation (Scopus)

    Abstract

    Recently, the recovery performance of analog Compressed Sensing (CS) has been significantly improved by representing multiband signals with the modulated and merged Slepian basis (MM-Slepian dictionary), which avoids the frequency leakage effect of the Discrete Fourier Transform (DFT) basis. However, the MM-Slepian dictionary has a very large scale and corresponds to a large-scale measurement matrix, which leads to high recovery computational complexity. This paper resolves the above problem by modulating and band-limiting the multiband signal rather than modulating the Slepian basis. Specifically, instead of using the MM-Slepian dictionary to represent the whole multiband signal, we propose to use the non-modulated Slepian basis to represent the modulated and band-limited version of the multiband signal based on the recently proposed Modulated Wideband Converter (MWC). Furthermore, based on the analytical derivation with the non-modulated Slepian basis, we propose an Interpolation Recovery (IR) algorithm to take full advantage of the Slepian basis, whereas the Direct Recovery (DR) algorithm using the Moore-Penrose pseudo-inverse cannot achieve this. Simulation results verify that, with low recovery computational load, the non-modulated Slepian basis combined with the IR algorithm improves the recovery SNR by up to 35 dB compared with the DFT basis in noise-free environment.

    Original languageEnglish
    Title of host publicationICC 2013
    Subtitle of host publicationIEEE International Conference on Communications : proceedings
    EditorsDong-In Kim, Peter Mueller
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages4941-4945
    Number of pages5
    ISBN (Electronic)9781467331227
    DOIs
    Publication statusPublished - 2013
    EventIEEE International Conference on Communications - Budapest, Hungary
    Duration: 9 Jun 201313 Jun 2013

    Other

    OtherIEEE International Conference on Communications
    CountryHungary
    CityBudapest
    Period9/06/1313/06/13

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