• Spectroscopy and Spectral Analysis
  • Vol. 42, Issue 1, 277 (2022)
Hong-qiu ZHU*, Fei CHENG1;, Hao-nan HU1;, Can ZHOU1; 2; *;, and Yong-gang LI1;
Author Affiliations
  • 1. School of Automation, Central South University, Changsha 410083, China
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    DOI: 10.3964/j.issn.1000-0593(2022)01-0277-05 Cite this Article
    Hong-qiu ZHU, Fei CHENG, Hao-nan HU, Can ZHOU, Yong-gang LI. Denoising Algorithm of Spectral Signal Based on FFT SVD[J]. Spectroscopy and Spectral Analysis, 2022, 42(1): 277 Copy Citation Text show less
    Original spectral signal
    Fig. 1. Original spectral signal
    Simulation spectral signal with noise ratio of 20 dB
    Fig. 2. Simulation spectral signal with noise ratio of 20 dB
    Signal distribution diagram of the first four singular value components of noisy signal with signal-to-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
    Signal to noise ratio is 20 dB, the fifth to eighth singular value component signal distribution diagram of noisy signal
    Fig. 4. Signal to noise ratio is 20 dB, the fifth to eighth singular value component signal distribution diagram of noisy signal
    Main frequency difference spectrum of the first 50 singular value component signals
    Fig. 5. Main frequency difference spectrum of the first 50 singular value component signals
    SNR after denoising by different algorithms
    Fig. 6. SNR after denoising by different algorithms
    Root mean square error after denoising by different algorithms
    Fig. 7. Root mean square error after denoising by different algorithms
    Measured spectral signal
    Fig. 8. Measured spectral signal
    The denoising results of the simulation data with the algorithm in this paper
    Fig. 9. The denoising results of the simulation data with the algorithm in this paper
    The denoising results of the simulation data with the singular value difference spectrum algorithm
    Fig. 10. The denoising results of the simulation data with the singular value difference spectrum algorithm
    The denoising results of the simulation data with the SG filtering algorithm
    Fig. 11. The denoising results of the simulation data with the SG filtering algorithm
    The denoising results of the simulation data with the denoising algorithm of wavelet transform
    Fig. 12. The denoising results of the simulation data with the denoising algorithm of wavelet transform
    Hong-qiu ZHU, Fei CHENG, Hao-nan HU, Can ZHOU, Yong-gang LI. Denoising Algorithm of Spectral Signal Based on FFT SVD[J]. Spectroscopy and Spectral Analysis, 2022, 42(1): 277
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