Raman spectroscopy de-noising based on EEMD combined with VS-LMS algorithm

Abstract

This paper proposes a novel de-noising algorithm based on ensemble empirical mode decomposition (EEMD) and the variable step size least mean square (VS-LMS) adaptive filter. The noise of the high frequency part of spectrum will be removed through EEMD, and then the VS-LMS algorithm is utilized for overall de-noising. The EEMD combined with VS-LMS algorithm can not only preserve the detail and envelope of the effective signal, but also improve the system stability. When the method is used on pure R6G, the signal-to-noise ratio (SNR) of Raman spectrum is lower than 10 dB. The de-noising superiority of the proposed method in Raman spectrum can be verified by three evaluation standards of SNR, root mean square error (RMSE) and the correlation coefficient ρ.

Keywords

Raman Spectrum / Root Mean Square Error / Empirical Mode Decomposition / Little Mean Square / Adaptive Filter

References

[1] Gao Z.-l., Ye W.-l., Zheng C.-t., Wang Y.-d.. Optoelectronics Letters, 2014, 10: 299

[2] Wang J.-f., Zhang Z.-x., Dai B.-z., Li C.-x., Insoo S. K.. Optoelectronics Letters, 2006, 2: 195

[3] Yin H., Chen Z.-q., Yuan Z.-z.. Optoelectronics Letters, 2006, 2: 369

[4] Chen Y., Wang K., Liu H.-l., Chen L.-j., He M.-l.. Journal of Optoelectronics·Laser, 2013, 24: 1053

[5] Huang N. E., Shen Z., Long S. R., Wu M. C., Shih H. H., Zheng Q., Yen N.-C., Tung C. C., Liu H. H.. Royal Society of London Proceedings, 1998, 454: 903

[6] Wu Z., Huang N. E.. Advances in Adaptive Data Analysis, 2009, 1: 1

[7] Bismor D.. Variable Size LMS Algorithm with Fast Convergence Capabilities for Active Noise Control, 18th International Congress on Sound and Vibration, 2011, 1: 282

[8] Zhang Y.-y., Li S.-m., Hu Y.-x., Jiang X.-x., Guo H.-d.. Journal of Vibration and Shock, 2013, 32: 61

[9] Ma G.-d., Yan S.-t., He C.-z., Yang C.. Electronic Design Engineering, 2014, 22: 43

[10] Roberto C.. Modern Digital Signal Processing, 2003, CL-Engineering, America