ABSTRACT
Spectrometers are widely used in many fields. However, the spectrum is distorted due to the bandwidth limitations. This study analyzes the problem of using the least square method for bandwidth correction, introduces the common regularization methods and the existing problems of Tikhonov regularization, and proposes a new bandwidth correction method based on Levenberg–Marquardt algorithm with adaptive Tikhonov regularization. The proposed method was used to optimize spectral parameters. White light-emitting diodes and Raman were used as light sources, and a comparative simulation was conducted. Subsequently, the uncertainty and root mean square error of different regularization parameters were calculated. Results show that the proposed method exhibits satisfactory bandwidth correction effect and small estimation error.
Acknowledgments
The authors would like to thank the anonymous reviewers for their helpful comments and constructive suggestions and to Shinewrite for providing the touch-up service.
Disclosure statement
No potential conflict of interest was reported by the author(s).