• Photonic Sensors
  • Vol. 10, Issue 3, 242 (2020)
Chan HUANG1、2、3, Feinan CHEN1、3, Yuyang CHANG1、2、3, Lin HAN1、3、*, Shuang Li1、3, and Jin HONG1、3
Author Affiliations
  • 1Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031, China
  • 2University of Science and Technology of China, Hefei 230026, China
  • 3Key Laboratory of Optical Calibration and Characterization, Chinese Academy of Sciences, Hefei 230031, China
  • show less
    DOI: 10.1007/s13320-019-0571-8 Cite this Article
    Chan HUANG, Feinan CHEN, Yuyang CHANG, Lin HAN, Shuang Li, Jin HONG. Adaptive Operator-Based Spectral Deconvolution With the Levenberg-Marquardt Algorithm[J]. Photonic Sensors, 2020, 10(3): 242 Copy Citation Text show less
    References

    [1] H. Z. Wang, L. W. Nan, H. Huang, P. Yang, H. Song, J. W. Han, et al., “Adaptive measurement method for miniature spectrometers used in cold environments,” Applied Optics, 2017, 56(28): 8029–8039.

    [2] H. Z. Wang, H. Song, Y. Chen, and S. R. Laney, “Correcting temperature dependence in miniature spectrometers used in cold polar environments,” Applied Optics, 2015, 54(11): 3162.

    [3] Y. Chen and L. Dai, “Automated decomposition algorithm for Raman spectra based on a Voigt line profile model,” Applied Optics, 2016, 55(15): 4085–4094.

    [4] M. M. Mariani, P. J. R. Day, and V. Deckert, “Applications of modern micro-Raman spectroscopy for cell analyses,” Integrative Biology, 2010, 2(2–3): 94–101.

    [5] P. Colomban, F. Ambrosi, A. T. Ngo, T. A. Lu, X. L. Feng, S. Chen, et al, “Comparative analysis of wucai Chinese porcelains using mobile and fixed Raman micro spectrometers,” Ceramics International, 2017, 43(16): 14244–14256.

    [6] E. I. Stearns and R. E. Stearns, “An example of a method for correcting radiance data for bandpass error,” Color Research & Application, 2010, 13(4): 257–259.

    [7] Y. Ohno, “A flexible bandpass correction method for spectrometers,” AIC Color Conference, Granada, Spain, 2005, pp: 697–700.

    [8] J. Reiter, “An algorithm for deconvolution by the maximum entropy method with astronomical applications,” Journal of Computational Physics, 1992, 103(1): 169–183.

    [9] J. Yuan and Z. Hu, “High-order statistical blind deconvolution of spectroscopic data with a Gauss-Newton algorithm,” Applied Spectroscopy, 2006, 60(6): 692–697.

    [10] E. R. Woolliams, R. Baribeau, A. Bialek, and M. G. Cox, “Spectrometer bandwidth correction for generalized bandpass functions,” Metrologia, 2011, 48(3): 164–172.

    [11] P. C. Hansen, “Analysis of discrete ill-posed problems by means of the L-curve,” Siam Review, 1992, 34(4): 561–580.

    [12] P. C. Hansen, “Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems,” Numerical Algorithms, 1994, 6(1): 1–35.

    [13] S. Eichst-dt, F. Schm-hling, G. Wübbeler, K. Anhalt, L. Bünger, U. Krüger, et al., “Comparison of the Richardson-Lucy method and a classical approach for spectrometer bandpass correction,” Metrologia, 2013, 50(2): 107–118.

    [14] H. Liu, T. X. Zhang, L. X. Yan, H. Z. Fang, and C. Yi, “A map-based algorithm for spectroscopic semi-blind deconvolution,” The Analyst, 2012, 137(16): 3862–3873.

    [15] M. Soccorsi, D. Gleich, and M. Datcu, “Huber-Markov model for complex SAR image restoration,” IEEE Geoscience & Remote Sensing Letters, 2010, 7(1): 63–67.

    [16] S. Q. Jin, C. Huang, G. Xia, M. Y. Hu, and Z. J. Liu, “Bandwidth correction in the spectral measurement of light-emitting diodes,” Journal of the Optical Society of America A, 2017, 34(9): 1476–1480.

    [17] K. Levenberg, “A method for the solution of certain non-linear problems in least squares,” The Quarterly of Applied Mathematics, 1944, 2(2): 164–168.

    [18] D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” Journal of the Society for Industrial & Applied Mathematics, 1963, 11(2): 431–441.

    [19] G. He and L. Zheng, “A model for LED spectra at different drive currents,” Chinese Optics Letters, 2010, 8(11): 1090–1094.

    [20] C. Huang, G. Xia, S. Q. Jin, M. Y. Hu, S. Wu, and J. Y. Xing, “Denoising analysis of compact CCD-based spectrometer,” Optik – International Journal for Light and Electron Optics, 2018, 157: 693–706.

    [21] G. Zonios, “Noise and stray light characterization of a compact CCD spectrophotometer used in biomedical applications,” Applied Optics, 2010, 49(2): 163–169.

    [22] J. J. Davenport, J. Hodgkinson, J. R. Saffell, and R. P. Tatam, “Noise analysis for CCD-based ultraviolet and visible spectrophotometry,” Applied Optics, 2015, 54(27): 8135–8144.

    [23] H. Liu, Z. L. Zhang, J. B. Shu, T. T. Liu, and T. X. Zhang, “Multi-order blind deconvolution algorithm with adaptive Tikhonov regularization for infrared spectroscopic data,” Infrared Physics & Technology, 2015, 71: 63–69.

    [24] H. Liu, L. X. Yan, Y. Chang, H. Z. Fang, and T. X. Zhang, “Spectral deconvolution and feature extraction with robust adaptive Tikhonov regularization,” IEEE Transactions on Instrumentation and Measurement, 2013, 62(2): 315–327.

    [25] H. Liu, S. Y. Liu, Z. L. Zhang, J. W. Sun, and J. B. Jiang, “Adaptive total variation-based spectral deconvolution with the split Bregman method,” Applied Optics, 2014, 53(35): 8240–8248.

    [26] J. Guan, X. Wang, W. W. Wang, and L. Huang, “Sparse blind speech deconvolution with dynamic range regularization and indicator function,” Circuits, Systems, and Signal Processing, 2017, 36(10): 435–446.

    [27] X. Z. Song, Y. B. Xu, and F. Dong, “A spatially adaptive total variation regularization method for electrical resistance tomography,” Measurement Science and Technology, 2015, 26(12): 125401.

    [28] T. T. Liu, H. Liu, Z. Z. Chen, and A. M. Lesgold, “Fast blind instrument function estimation method for industrial infrared spectrometers,” IEEE Transactions on Industrial Informatics, 2018, 14(12): 5268–5277.

    [29] H. Liu, Z. L. Zhang, S. Y. Liu, T. T. Liu, L. X. Lu, and T. X. Zhang, “Richardson-Lucy blind deconvolution of spectroscopic data with wavelet regularization,” Applied Optics, 2015, 54(7): 1770–1775.

    [30] H. Liu, Y. F. Li, Z. L. Zhang, S. Y. Liu, and T. T. Liu, “Blind Poissonian reconstruction algorithm via curvelet regularization for an FTIR spectrometer,” Optics Express, 2018, 26(18): 22837–22856.

    [31] H. Liu, Z. L. Zhang, J. W. Sun, and S. Y. Liu, “Blind spectral deconvolution algorithm for Raman spectrum with Poisson noise,” Photonics Research, 2014, 2(6): 168–171.

    [32] G. H. Golub, M. Heath, and H. G. Wahba, “Generalized cross-validation as a method for choosing a good ridge parameter,” Technometrics, 1979, 21(2): 215–223.

    [33] E. Haber and D. Oldenburg, “A GCV based method for nonlinear ill-posed problems,” Computational Geosciences, 2000, 4(1): 41–63.

    [34] M. Hanke, “Limitations of the L-curve method in ill-posed problems,” BIT Numerical Mathematics, 1996, 36(2): 287–301.

    [35] Y. Z. Shen, P. L. Xu, and B. F. Li, “Bias-corrected regularized solution to inverse ill-posed models,” Journal of Geodesy, 2012, 86(8): 597–608.

    [36] P. L. Xu, Y. Z. Shen, Y. Fukuda, and Y. M. Liu, “Variance component estimation in linear inverse ill-posed models,” Journal of Geodesy, 2006, 80(2): 69–81.

    Chan HUANG, Feinan CHEN, Yuyang CHANG, Lin HAN, Shuang Li, Jin HONG. Adaptive Operator-Based Spectral Deconvolution With the Levenberg-Marquardt Algorithm[J]. Photonic Sensors, 2020, 10(3): 242
    Download Citation