Harmonicity Spectrum - Open Journal of Statistics

OJS > Vol.13 No.5, October 2023

Open Journal of Statistics

Volume 13, Issue 5 (October 2023)

ISSN Print: 2161-718X ISSN Online: 2161-7198

Google-based Impact Factor: 0.53 Citations

Harmonicity Spectrum ()

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DOI: 10.4236/ojs.2023.135037 69 Downloads 744 Views

Author(s)

Lintao Liu¹, Guocheng Wang¹, Xiaoqing Su², Xuepeng Sun¹, Huiwen Hu¹, Xiaowen Luo³

Affiliation(s)

¹The State Key Laboratory of Geodesy and Earth’s Dynamics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan, China.
²Shandong University of Technology, Zibo, China.
³Key Laboratory of Submarine Geosciences, Second Institute of Oceanography, Ministry of Natural Resources, Hangzhou, China.

ABSTRACT

Perceiving harmonic information (especially weak harmonic information) in time series has important scientific and engineering significance. Fourier spectrum and time-frequency spectrum are commonly used tools for perceiving harmonic information, but they are often ineffective in perceiving weak harmonic signals because they are based on energy or amplitude analysis. Based on the theory of Normal time-frequency transform (NTFT) and complex correlation coefficient, a new type of spectrum, the Harmonicity Spectrum (HS), is developed to perceive harmonic information in time series. HS is based on the degree of signal harmony rather than energy or amplitude analysis, and can therefore perceive very weak harmonic information in signals sensitively. Simulation examples show that HS can detect harmonic information that cannot be detected by Fourier spectrum or time-frequency spectrum. Acoustic data analysis shows that HS has better resolution than traditional LOFAR spectrum.

KEYWORDS

Normal Time-Frequency Transform, Complex Correlation Coefficient, Harmonicity Spectrum, Weak Harmonic Signal Detection

Share and Cite:

Liu, L. , Wang, G. , Su, X. , Sun, X. , Hu, H. and Luo, X. (2023) Harmonicity Spectrum. Open Journal of Statistics, 13, 761-768. doi: 10.4236/ojs.2023.135037.

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