• Chinese Optics Letters
  • Vol. 15, Issue 10, 101101 (2017)
Yao Zhao, Qian Chen, Guohua Gu, and Xiubao Sui*
Author Affiliations
  • Jiangsu Key Laboratory of Spectral Imaging and Intelligence Sense, Nanjing University of Science and Technology, Nanjing 210094, China
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    DOI: 10.3788/COL201715.101101 Cite this Article Set citation alerts
    Yao Zhao, Qian Chen, Guohua Gu, Xiubao Sui. Simple and effective method to improve the signal-to-noise ratio of compressive imaging[J]. Chinese Optics Letters, 2017, 15(10): 101101 Copy Citation Text show less

    Abstract

    This Letter presents a simple and effective method to improve the signal-to-noise ratio (SNR) of compressing imaging. The main principles of the proposed method are the correlation of the image signals and the randomness of the noise. Multiple low SNR images are reconstructed firstly by the compressed sensing reconstruction algorithm, and then two-dimensional time delay integration technology is adopted to improve the SNR. Results show that the proposed method can improve the SNR performance efficiently and it is easy to apply the algorithm to the real project.
    y=ΦMNx,(1)

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    y=ΦMNx=ΦMNψα,(2)

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    PSNR(dB)=10×log102552MSE.(3)

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    MSE=1M×Ni=1Mj=1Ne2(i,j),(4)

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    y=ΦMNx+n,(5)

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    y=y+n,(6)

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    y=y+n=ΦMNx.(7)

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    minλx01+12yΦMNx022.(8)

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    y+n=ΦMN(x+g)=ΦMNx+ΦMNg.(9)

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    minλ1x01+12yΦMNx022,(10)

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    minλ2g01+12nΦMNg022.(11)

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    PS=(i=1mVsi)2=i=1mVsi2+2i=1mj=1i1Ci,jVsiVsj,(12)

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    PN=(i=1mVNi)2=i=1mVNi2+2i=1mj=1i1Ci,jNVNiVNj,(13)

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    PN=(i=1mVNi)2=i=1mVNi2=mVN2,(14)

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    PS=(i=1mVsi)2=i=1mVS2+2Cm2VS2=m2VS2,(15)

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    SNR(power)=PSPN=m2VS2mVN2.(16)

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    SNR0=VS2VN2.(17)

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    SNR(power)=m·SNR0(power).(18)

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    SNR=m·SNR0.(19)

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    Yao Zhao, Qian Chen, Guohua Gu, Xiubao Sui. Simple and effective method to improve the signal-to-noise ratio of compressive imaging[J]. Chinese Optics Letters, 2017, 15(10): 101101
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