Fig. 1. Original spectral signal

Fig. 2. Simulation spectral signal with noise ratio of 20 dB

Fig. 3. Signal distribution diagram of the first four singular value components of noisy signal with signal-to-noise ratio of 20 dB

Fig. 4. Signal to noise ratio is 20 dB, the fifth to eighth singular value component signal distribution diagram of noisy signal

Fig. 5. Main frequency difference spectrum of the first 50 singular value component signals

Fig. 6. SNR after denoising by different algorithms

Fig. 7. Root mean square error after denoising by different algorithms

Fig. 8. Measured spectral signal

Fig. 9. The denoising results of the simulation data with the algorithm in this paper

Fig. 10. The denoising results of the simulation data with the singular value difference spectrum algorithm

Fig. 11. The denoising results of the simulation data with the SG filtering algorithm

Fig. 12. The denoising results of the simulation data with the denoising algorithm of wavelet transform