• KSII Transactions on Internet and Information Systems
    Monthly Online Journal (eISSN: 1976-7277)

Deterministic Bipolar Compressed Sensing Matrices from Binary Sequence Family

Vol. 14, No. 6, June 30, 2020
10.3837/tiis.2020.06.010, Download Paper (Free):

Abstract

For compressed sensing (CS) applications, it is significant to construct deterministic measurement matrices with good practical features, including good sensing performance, low memory cost, low computational complexity and easy hardware implementation. In this paper, a deterministic construction method of bipolar measurement matrices is presented based on binary sequence family (BSF). This method is of interest to be applied for sparse signal restore and image block CS. Coherence is an important tool to describe and compare the performance of various sensing matrices. Lower coherence implies higher reconstruction accuracy. The coherence of proposed measurement matrices is analyzed and derived to be smaller than the corresponding Gaussian and Bernoulli random matrices. Simulation experiments show that the proposed matrices outperform the corresponding Gaussian, Bernoulli, binary and chaotic bipolar matrices in reconstruction accuracy. Meanwhile, the proposed matrices can reduce the reconstruction time compared with their Gaussian counterpart. Moreover, the proposed matrices are very efficient for sensing performance, memory, complexity and hardware realization, which is beneficial to practical CS.


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Cite this article

[IEEE Style]
C. Lu, W. Chen and H. Xu, "Deterministic Bipolar Compressed Sensing Matrices from Binary Sequence Family," KSII Transactions on Internet and Information Systems, vol. 14, no. 6, pp. 2497-2517, 2020. DOI: 10.3837/tiis.2020.06.010.

[ACM Style]
Cunbo Lu, Wengu Chen, and Haibo Xu. 2020. Deterministic Bipolar Compressed Sensing Matrices from Binary Sequence Family. KSII Transactions on Internet and Information Systems, 14, 6, (2020), 2497-2517. DOI: 10.3837/tiis.2020.06.010.

[BibTeX Style]
@article{tiis:23590, title="Deterministic Bipolar Compressed Sensing Matrices from Binary Sequence Family", author="Cunbo Lu and Wengu Chen and Haibo Xu and ", journal="KSII Transactions on Internet and Information Systems", DOI={10.3837/tiis.2020.06.010}, volume={14}, number={6}, year="2020", month={June}, pages={2497-2517}}