Abstract

As a new type of spectrometer, that based on filters with different transmittance features attracts a lot of attention for its advantages such as small-size, low cost, and simple optical structure. It uses post-processing algorithms to achieve target spectrum reconstruction; therefore, the performance of the spectrometer is severely affected by noise. The influence of noise on the spectral reconstruction results is studied in this paper, and suggestions for solving the spectral reconstruction problem under noisy conditions are given. We first list different spectral reconstruction methods, and through simulations demonstrate that these methods show unsatisfactory performance under noisy conditions. Then we propose to apply the gradient projection for sparse reconstruction (GRSR) algorithm to the spectral reconstruction method. Simulation results show that the proposed method can significantly reduce the influence of noise on the spectral reconstruction process. Meanwhile, the accuracy of the spectral reconstruction results is dramatically improved. Therefore, the practicality of the filter-based spectrometer will be enhanced.

© 2021 Optical Society of Korea

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2020 (3)

H. Yan, Y. Liu, "Improved gradient projection algorithm for deblurred image application," J. Phys.: Conf. Ser 1575, (2020)
[Crossref]

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

2019 (8)

L. Zhang, Y. Zhai, X. Wang, "Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography," Flow Meas. Instrum. 65, 45‒51 (2019)
[Crossref]

R. Zhu, G.-S. Li, Y. Guo, "Block-compressed-sensing-based reconstruction algorithm for ghost imaging," OSA Continuum 2, 2834‒2843 (2019)
[Crossref]

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

C. Kim, T. Ji, "Real-time spectroscopic methods for analysis of organic compounds in water," Curr. Opt. Photon. 3, 336‒341 (2019)

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

M. Zhang, C. Lu, C. Liu, "Improved double-threshold denoising method based on the wavelet transform," OSA Continuum 2, 2328‒2342 (2019)
[Crossref]

2018 (3)

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

Z. Leihong, Y. Xiao, Z. Dawei, C. Jian, "Research on multiple-image encryption scheme based on Fourier transform and ghost imaging algorithm," Curr. Opt. Photon. 2, 315‒323 (2018)

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

2017 (1)

2016 (5)

2015 (2)

2014 (1)

2013 (2)

X. Ma, M. Li, J. He, "CMOS-compatible integrated spectrometer based on echelle diffraction grating and MSM photodetector array," IEEE Photonics J. 5, (2013)
[Crossref]

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

2012 (1)

2011 (2)

U. Kurokawa, B. I. Choi, C.-C. Chang, "Filter-based miniature spectrometers: spectrum reconstruction using adaptive regularization," IEEE Sens. J. 11, 1556‒1563 (2011)
[Crossref]

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

2010 (2)

2008 (1)

2007 (2)

K. Koh, S.-J. Kim, S. Boyd, "An interior-point method for large-scale l1-regularized logistic regression," J. Mach. Learn. Res. 8, 1519‒1555 (2007)

M. A. T. Figueiredo, R. D. Nowak, S. J. Wright, "Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Processing 1, 586‒597 (2007)
[Crossref]

2004 (1)

H.-T. Fang, D.-S. Huang, "Noise reduction in lidar signal based on discrete wavelet transform," Opt. Commun. 233, 67‒76 (2004)
[Crossref]

2003 (1)

2001 (2)

S. S. Chen, D. L. Donoho, M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. 43, 129‒159 (2001)
[Crossref]

Y. Zuo, J. Zhang, H. Xi, "Influence of detector noise on infrared images," Proc. SPIE 4548, 381‒386 (2001)
[Crossref]

2000 (1)

Y. Dai, J. Xu, "The noise analysis and noise reliability indicators of optoelectron coupled devices," Solid-State Electron. 44, 1495‒1500 (2000)
[Crossref]

1997 (1)

D. R. Lobb, "Imaging spectrometers using concentric optics," Proc. SPIE 3118, 339‒347 (1997)
[Crossref]

1988 (1)

J. Barzilai, J. M. Borwein, "Two-point step size gradient methods," IMA J. Numer. Anal. 8, 141‒148 (1988)
[Crossref]

Adibi, A.

Albrow-Owen, T.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Alexander-Webber, J.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Aramil, T. J.

Arce, G. R.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Atwia, M. G.

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

Bao, J.

J. Bao, M. G. Bawendi, "A colloidal quantum dot spectrometer," Nature 523, 67‒70 (2015)
[Crossref] [PubMed]

Barzilai, J.

J. Barzilai, J. M. Borwein, "Two-point step size gradient methods," IMA J. Numer. Anal. 8, 141‒148 (1988)
[Crossref]

Bawendi, M. G.

J. Bao, M. G. Bawendi, "A colloidal quantum dot spectrometer," Nature 523, 67‒70 (2015)
[Crossref] [PubMed]

Borwein, J. M.

J. Barzilai, J. M. Borwein, "Two-point step size gradient methods," IMA J. Numer. Anal. 8, 141‒148 (1988)
[Crossref]

Boyd, S.

K. Koh, S.-J. Kim, S. Boyd, "An interior-point method for large-scale l1-regularized logistic regression," J. Mach. Learn. Res. 8, 1519‒1555 (2007)

Brady, D. J.

Cai, F.

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

Cai, H.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Cai, W.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Cetin, M.

D. M. Malioutov, M. Cetin, A. S. Willsky, Homotopy continuation for sparse signal representation Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing .

Chang, C.

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Chang, C. C.

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

Chang, C.-C.

U. Kurokawa, B. I. Choi, C.-C. Chang, "Filter-based miniature spectrometers: spectrum reconstruction using adaptive regularization," IEEE Sens. J. 11, 1556‒1563 (2011)
[Crossref]

C.-C. Chang, H.-N. Lee, "On the estimation of target spectrum for filter-array based spectrometers," Opt. Express 16, 1056‒1061 (2008)
[Crossref] [PubMed]

Chang, C.-W.

Chen, R.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Chen, S. S.

S. S. Chen, D. L. Donoho, M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. 43, 129‒159 (2001)
[Crossref]

Cheng, G.

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Choi, B. I.

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

U. Kurokawa, B. I. Choi, C.-C. Chang, "Filter-based miniature spectrometers: spectrum reconstruction using adaptive regularization," IEEE Sens. J. 11, 1556‒1563 (2011)
[Crossref]

Cui, H.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Dai, L.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Dai, Y.

Y. Dai, J. Xu, "The noise analysis and noise reliability indicators of optoelectron coupled devices," Solid-State Electron. 44, 1495‒1500 (2000)
[Crossref]

Davenport, J. J.

Dawei, Z.

Dong, L.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Donoho, D. L.

S. S. Chen, D. L. Donoho, M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. 43, 129‒159 (2001)
[Crossref]

Edwards, P.

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Eldar, Y. C.

Y. C. Eldar, G. Kutyniok, Compressed Sensing: Theory and Applications .

El-Horiny, M. M.

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

Fang, H.-T.

H.-T. Fang, D.-S. Huang, "Noise reduction in lidar signal based on discrete wavelet transform," Opt. Commun. 233, 67‒76 (2004)
[Crossref]

Feng, G.

X. Zhang, Y. Ren, G. Feng, Z. Qian, Compressing encrypted image using compressive sensing, Proc. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing .

Figueiredo, M. A. T.

M. A. T. Figueiredo, R. D. Nowak, S. J. Wright, "Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Processing 1, 586‒597 (2007)
[Crossref]

Foulger, S. H.

Gemail, K. S.

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

Grüger, H.

Gu, F.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Guo, Y.

Ha, Y. C.

Hasan, T.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

He, J.

X. Ma, M. Li, J. He, "CMOS-compatible integrated spectrometer based on echelle diffraction grating and MSM photodetector array," IEEE Photonics J. 5, (2013)
[Crossref]

He, S.

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

Ho, H.

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

Hodgkinson, J.

Hofmann, S.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Hsu, H.-Y.

Hu, M.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Huang, C.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Huang, C.-S.

Huang, D.-S.

H.-T. Fang, D.-S. Huang, "Noise reduction in lidar signal based on discrete wavelet transform," Opt. Commun. 233, 67‒76 (2004)
[Crossref]

Ji, T.

Jian, C.

Jin, S.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Kim, C.

Kim, S.-J.

K. Koh, S.-J. Kim, S. Boyd, "An interior-point method for large-scale l1-regularized logistic regression," J. Mach. Learn. Res. 8, 1519‒1555 (2007)

Kim, Y. K.

Knobbe, J.

Koch, A. W.

Koh, K.

K. Koh, S.-J. Kim, S. Boyd, "An interior-point method for large-scale l1-regularized logistic regression," J. Mach. Learn. Res. 8, 1519‒1555 (2007)

Koh, Y. J.

Koike, K.

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

Kurokawa, U.

U. Kurokawa, B. I. Choi, C.-C. Chang, "Filter-based miniature spectrometers: spectrum reconstruction using adaptive regularization," IEEE Sens. J. 11, 1556‒1563 (2011)
[Crossref]

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

Kutyniok, G.

Y. C. Eldar, G. Kutyniok, Compressed Sensing: Theory and Applications .

Kwong, D.-L.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Lan, R.-M.

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

Lee, H.-N.

Lee, J. H.

Lee, K.

Lee, S. K.

Lee, W.

Leihong, Z.

Li, C.

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

Li, G.-S.

Li, H.

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

Li, M.

X. Ma, M. Li, J. He, "CMOS-compatible integrated spectrometer based on echelle diffraction grating and MSM photodetector array," IEEE Photonics J. 5, (2013)
[Crossref]

Lin, H.-A.

Lin, N.-T.

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

Lin, Z.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Liu, A.-Q.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Liu, C.

Liu, P. Y.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Liu, X.-F.

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

Liu, Y.

H. Yan, Y. Liu, "Improved gradient projection algorithm for deblurred image application," J. Phys.: Conf. Ser 1575, (2020)
[Crossref]

Liu, Z.

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Lobb, D. R.

D. R. Lobb, "Imaging spectrometers using concentric optics," Proc. SPIE 3118, 339‒347 (1997)
[Crossref]

Lu, C.

Luo, B.

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Ma, X.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

X. Ma, M. Li, J. He, "CMOS-compatible integrated spectrometer based on echelle diffraction grating and MSM photodetector array," IEEE Photonics J. 5, (2013)
[Crossref]

Malioutov, D. M.

D. M. Malioutov, M. Cetin, A. S. Willsky, Homotopy continuation for sparse signal representation Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing .

Masoud, A. A.

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

Murr, P. J.

Nguyen, T. H.

Nowak, R. D.

M. A. T. Figueiredo, R. D. Nowak, S. J. Wright, "Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Processing 1, 586‒597 (2007)
[Crossref]

Oliver, J.

Overend, M.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Park, S.

Pügner, T.

Qian, Z.

X. Zhang, Y. Ren, G. Feng, Z. Qian, Compressing encrypted image using compressive sensing, Proc. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing .

Rajaram, N.

Rauscher, M. S.

Reichenberg, J. S.

Ren, Y.

X. Zhang, Y. Ren, G. Feng, Z. Qian, Compressing encrypted image using compressive sensing, Proc. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing .

Saffell, J. R.

Saunders, M. A.

S. S. Chen, D. L. Donoho, M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. 43, 129‒159 (2001)
[Crossref]

Schardt, M.

Song, J.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Stock, H.-J.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Sullivan, M. E.

Sun, Z.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Tang, R.

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

Tatam, R. P.

Tong, L.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Tremmel, A. J.

Tunnell, J. W.

Wang, P.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Wang, S.

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

Wang, X.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

L. Zhang, Y. Zhai, X. Wang, "Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography," Flow Meas. Instrum. 65, 45‒51 (2019)
[Crossref]

Wang, Z.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Z. Wang, Z. Yu, "Spectral analysis based on compressive sensing in nanophotonic structures," Opt. Express 22, 25608‒25614 (2014)
[Crossref] [PubMed]

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

Z. Xu, Z. Wang, M. E. Sullivan, D. J. Brady, S. H. Foulger, A. Adibi, "Multimodal multiplex spectroscopy using photonic crystals," Opt. Express 11, 2126‒2133 (2003)
[Crossref] [PubMed]

Wei, Y.

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

Wiesent, B. R.

Williams, C.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Willsky, A. S.

D. M. Malioutov, M. Cetin, A. S. Willsky, Homotopy continuation for sparse signal representation Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing .

Wright, S. J.

M. A. T. Figueiredo, R. D. Nowak, S. J. Wright, "Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Processing 1, 586‒597 (2007)
[Crossref]

Wu, G.

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Wu, S.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Wu, T.-C.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Xi, H.

Y. Zuo, J. Zhang, H. Xi, "Influence of detector noise on infrared images," Proc. SPIE 4548, 381‒386 (2001)
[Crossref]

Xia, G.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Xiang, D.

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

Xiao, Y.

Xing, J.

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

Xu, J.

Y. Dai, J. Xu, "The noise analysis and noise reliability indicators of optoelectron coupled devices," Solid-State Electron. 44, 1495‒1500 (2000)
[Crossref]

Xu, Z.

Yan, H.

H. Yan, Y. Liu, "Improved gradient projection algorithm for deblurred image application," J. Phys.: Conf. Ser 1575, (2020)
[Crossref]

Yang, D.

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Yang, Q.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Yang, T.

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

Yang, X.

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

Yang, Z.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Yao, X.-R.

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

Yin, L.

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Yu, W.-K.

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

Yu, Z.

Zayats, A. V.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Zhai, G.-J.

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

Zhai, Y.

L. Zhang, Y. Zhai, X. Wang, "Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography," Flow Meas. Instrum. 65, 45‒51 (2019)
[Crossref]

Zhang, C.

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Zhang, J.

Y. Zuo, J. Zhang, H. Xi, "Influence of detector noise on infrared images," Proc. SPIE 4548, 381‒386 (2001)
[Crossref]

Zhang, L.

L. Zhang, Y. Zhai, X. Wang, "Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography," Flow Meas. Instrum. 65, 45‒51 (2019)
[Crossref]

Zhang, M.

Zhang, X.

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

X. Zhang, Y. Ren, G. Feng, Z. Qian, Compressing encrypted image using compressive sensing, Proc. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing .

Zheng, S.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Zhou, M.-D.

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Zhu, R.

Zhuge, M.

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

Zonios, G.

Zou, J.

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

Zuo, Y.

Y. Zuo, J. Zhang, H. Xi, "Influence of detector noise on infrared images," Proc. SPIE 4548, 381‒386 (2001)
[Crossref]

Appl. Opt. (3)

Appl. Sci. (1)

D. Yang, C. Chang, G. Wu, B. Luo, L. Yin, "Compressive ghost imaging of the moving object using the low-order moments," Appl. Sci. 10, 7941 (2020)
[Crossref]

Appl. Spectrosc. (1)

Curr. Opt. Photon. (3)

Flow Meas. Instrum. (1)

L. Zhang, Y. Zhai, X. Wang, "Application of Barzilai-Borwein gradient projection for sparse reconstruction algorithm to image reconstruction of electrical capacitance tomography," Flow Meas. Instrum. 65, 45‒51 (2019)
[Crossref]

IEEE J. Sel. Top. Signal Processing (1)

M. A. T. Figueiredo, R. D. Nowak, S. J. Wright, "Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Processing 1, 586‒597 (2007)
[Crossref]

IEEE Photonics J. (2)

X. Ma, M. Li, J. He, "CMOS-compatible integrated spectrometer based on echelle diffraction grating and MSM photodetector array," IEEE Photonics J. 5, (2013)
[Crossref]

S. Zheng, H. Cai, J. Song, J. Zou, P. Y. Liu, Z. Lin, D.-L. Kwong, A.-Q. Liu, "A single-chip integrated spectrometer via tunable microring resonator array," IEEE Photonics J. 11, (2019)
[Crossref]

IEEE Sens. J. (1)

U. Kurokawa, B. I. Choi, C.-C. Chang, "Filter-based miniature spectrometers: spectrum reconstruction using adaptive regularization," IEEE Sens. J. 11, 1556‒1563 (2011)
[Crossref]

IEEE Trans. Ind. Electron. (1)

H. Li, D. Xiang, X. Yang, X. Zhang, "Compressed sensing method for IGBT high-speed switching time on-line monitoring," IEEE Trans. Ind. Electron. 66, 3185‒3195 (2019)
[Crossref]

IMA J. Numer. Anal. (1)

J. Barzilai, J. M. Borwein, "Two-point step size gradient methods," IMA J. Numer. Anal. 8, 141‒148 (1988)
[Crossref]

Int. J. Appl. Earth Obs. Geoinf. (1)

A. A. Masoud, K. Koike, M. G. Atwia, M. M. El-Horiny, K. S. Gemail, "Mapping soil salinity using spectral mixture analysis of landsat 8 OLI images to identify factors influencing salinization in an arid region," Int. J. Appl. Earth Obs. Geoinf. 83, (2019)
[Crossref]

J. Mach. Learn. Res. (1)

K. Koh, S.-J. Kim, S. Boyd, "An interior-point method for large-scale l1-regularized logistic regression," J. Mach. Learn. Res. 8, 1519‒1555 (2007)

J. Phys.: Conf. Ser (1)

H. Yan, Y. Liu, "Improved gradient projection algorithm for deblurred image application," J. Phys.: Conf. Ser 1575, (2020)
[Crossref]

Lab. Chip (1)

C. Zhang, G. Cheng, P. Edwards, M.-D. Zhou, S. Zheng, Z. Liu, "G-Fresnel smartphone spectrometer," Lab. Chip 16, 246‒250 (2016)
[Crossref] [PubMed]

Nature (1)

J. Bao, M. G. Bawendi, "A colloidal quantum dot spectrometer," Nature 523, 67‒70 (2015)
[Crossref] [PubMed]

Opt. Commun. (2)

R.-M. Lan, X.-F. Liu, X.-R. Yao, W.-K. Yu, G.-J. Zhai, "Single-pixel complementary compressive sampling spectrometer," Opt. Commun. 366, 349‒353 (2016)
[Crossref]

H.-T. Fang, D.-S. Huang, "Noise reduction in lidar signal based on discrete wavelet transform," Opt. Commun. 233, 67‒76 (2004)
[Crossref]

Opt. Eng. (1)

C. C. Chang, N.-T. Lin, U. Kurokawa, B. I. Choi, "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Opt. Eng. 50, (2011)
[Crossref]

Opt. Express (6)

Optik (3)

F. Cai, R. Tang, S. Wang, S. He, "A compact line-detection spectrometer with a Powell lens," Optik 155, 267‒272 (2018)
[Crossref]

C. Huang, G. Xia, S. Jin, M. Hu, S. Wu, J. Xing, "Denoising analysis of compact CCD-based spectrometer," Optik 157, 693‒706 (2018)
[Crossref]

T. Yang, C. Li, Z. Wang, H. Ho, "An ultra compact spectrometer based on the optical transmission through a micro interferometer array," Optik 124, 1377‒1385 (2013)
[Crossref]

OSA Continuum (2)

Proc. SPIE (3)

Y. Zuo, J. Zhang, H. Xi, "Influence of detector noise on infrared images," Proc. SPIE 4548, 381‒386 (2001)
[Crossref]

Z. Wang, X. Ma, R. Chen, G. R. Arce, L. Dong, H.-J. Stock, Y. Wei, "Comparison of different lithographic source optimization methods based on compressive sensing," Proc. SPIE 11327, (2020)
[Crossref]

D. R. Lobb, "Imaging spectrometers using concentric optics," Proc. SPIE 3118, 339‒347 (1997)
[Crossref]

Science (1)

Z. Yang, T. Albrow-Owen, H. Cui, J. Alexander-Webber, F. Gu, X. Wang, T.-C. Wu, M. Zhuge, C. Williams, P. Wang, A. V. Zayats, W. Cai, L. Dai, S. Hofmann, M. Overend, L. Tong, Q. Yang, Z. Sun, T. Hasan, "Single-nanowire spectrometers," Science 365, 1017‒1020 (2019)
[Crossref] [PubMed]

SIAM Rev. (1)

S. S. Chen, D. L. Donoho, M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. 43, 129‒159 (2001)
[Crossref]

Solid-State Electron. (1)

Y. Dai, J. Xu, "The noise analysis and noise reliability indicators of optoelectron coupled devices," Solid-State Electron. 44, 1495‒1500 (2000)
[Crossref]

Other (3)

D. M. Malioutov, M. Cetin, A. S. Willsky, Homotopy continuation for sparse signal representation Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing .

Y. C. Eldar, G. Kutyniok, Compressed Sensing: Theory and Applications .

X. Zhang, Y. Ren, G. Feng, Z. Qian, Compressing encrypted image using compressive sensing, Proc. 2011 Seventh International Conference on Intelligent Information Hiding and Multimedia Signal Processing .

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