The traditional smoothing method is complicated to use when the number of road sites is large, and multiple smoothing is required in the case of large noise, aiming at this problem, this paper uses the singular value decomposition denoising method to smooth the gamma energy spectrum. This paper expounds the basic principle of the singular value decomposition method, and the mathematical models of different reconstruction matrices and compares the effects of different reconstruction matrices on full-spectrum noise reduction. The results show that the signal-to-noise ratio is improved by 4.27% compared with the traditional method after the singular value decomposition, selection, reconstruction and reduction after using the Hankel matrix for energy spectrum allosteric.
References
[1]
Morháč, M. (2008) Sophisticated Algorithms of Analysis of Spectroscopic Data. Proceedings of Science, Erice, 3-7 November 2008.
https://doi.org/10.22323/1.070.0077
[2]
Taqi, A.H., Ali, A.M. and Al-Ani, L.A.A. (2017) Estimating the Natural and Artificial Radioactivity in Soil Samples from Some Oil Sites in Kirkuk-Iraq Using High Resolution Gamma Rays Spectrometry. Indian Journal of Pure & Applied Physics, 55, 674-682.
[3]
Kanjilal, P.P. and Palit, S. (1995) On Multiple Pattern Extraction Using Singular Value Decomposition. IEEE Transactions on Signal Processing, 43, 1536-1540.
https://doi.org/10.1109/78.388873
[4]
Kanjilal, P.P., Palit, S. and Saha, G. (1997) Fetal ECG Extraction from Single-Channel Maternal ECG Using Singular Value Decomposition. IEEE Transactions on Biomedical Engineering, 44, 51-59. https://doi.org/10.1109/10.553712
[5]
Minty, B. and Hovgaard, J. (2002) Reducing Noise in Gamma-Ray Spectrometry Using Spectral Component Analysis. Exploration Geophysics, 33, 172-176.
https://doi.org/10.1071/EG02172
[6]
Sascha, R. (2014) Full Spectrum Analysis in Environmental Monitoring. Radiation Protection Dosimetry, 160, 311-317.
[7]
Kalman, D. (1996) A Singularly Valuable Decomposition: The SVD of a Matrix. The College Mathematics Journal, 27, 2-23.
https://doi.org/10.1080/07468342.1996.11973744
[8]
Aoki, M. (1983) Rank Determination of Hankel Matrices. Notes on Economic Time Series Analysis: System Theoretic Perspectives. Springer, New York, 67-68.