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Convolutional Compressed Sensing Using Decimated Sidelnikov Sequences

delete2014-05-01
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Nam Yul Yu *
甘露 cover
甘露 (Lu Gan)
DOI:10.1109/LSP.2014.2311659delete
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Abstract

Abstract

En 中文
In many applications of compressed sensing, the data acquisition involves convolution by a filter followed by subsampling. In this letter, we propose to construct a filter with real-valued coefficients by taking the discrete Fourier transform of a decimated binary Sidelnikov sequence. With a random subsampler, we prove that stable recovery can be guaranteed if a signal is sparse in the canonical or the FFT basis. Besides, simulation results also show that if a deterministic subsampler is used, the proposed system can offer similar reconstruction performance as that of a random Gaussian operator for a wide range of signal length.
Keywords:
Coherence
convolutional compressed sensing
restricted isometry property
Sidelnikov sequences
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IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

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B
brunel university
Scholars:
5.8K
Papers: 7.1K
Citations: 9
L
Lakehead University
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Citations: 3.4K
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