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Generalized Random Demodulator Associated with Fractional Fourier Transform

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Abstract

The analog-to-information conversion may be unable to provide satisfactory results when signals of interest show better sparsity in the fractional Fourier domain. In this paper, we redesign the random demodulator to sample generalized bandlimited signals. The fractional Fourier transform and fractional shift-invariant operator are applied to establish a relationship between time-frequency representations and observation vector. The mixing vector constructed by random phase sequence has been shown satisfying the incoherent condition. The reconstruction of representation is based on the orthogonal matching pursuit. The performance of the proposed sampling method is verified by the probability of successful reconstruction and mean squared error.

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Acknowledgements

The paper is partly supported by Heilongjiang Postdoctoral (LBH-Z16087) and National Natural Science Foundation of China (NSFC, No. 61671177).

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Authors and Affiliations

  1. Department of Automatic Test and Control, Harbin Institute of Technology, Harbin, 150000, China

    Haoran Zhao, Liyan Qiao, Jingchao Zhang & Ning Fu

  2. Navigation and Control Technology Research Institute, Norinco Group, Beijing, 100089, China

    Haoran Zhao

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  1. Haoran Zhao
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  2. Liyan Qiao
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  3. Jingchao Zhang
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  4. Ning Fu
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Correspondence to Liyan Qiao.

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Zhao, H., Qiao, L., Zhang, J. et al. Generalized Random Demodulator Associated with Fractional Fourier Transform. Circuits Syst Signal Process 37, 5161–5173 (2018). https://doi.org/10.1007/s00034-018-0785-9

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  • DOI: https://doi.org/10.1007/s00034-018-0785-9

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