Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points

doi:10.1088/1674-1056/22/8/084701

中国物理B ›› 2013, Vol. 22 ›› Issue (8): 84701-084701.doi: 10.1088/1674-1056/22/8/084701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points

Nathaniel E U^a, Beloff N^b, George N J^a

a Department of Physics, Akwa Ibom State University, Nigeria;
b University of Sussex, Brighton, UK

收稿日期:2012-10-18 修回日期:2013-12-21 出版日期:2013-06-27 发布日期:2013-06-27

Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points

Nathaniel E U^a, Beloff N^b, George N J^a

a Department of Physics, Akwa Ibom State University, Nigeria;
b University of Sussex, Brighton, UK

Received:2012-10-18 Revised:2013-12-21 Online:2013-06-27 Published:2013-06-27
Contact: George N J E-mail:nyaknojimmyg@yahoo.com

摘要/Abstract

摘要： Observational data such as those obtained from the magnetosheath in the downstream of Earth's bow shock have waveforms that differ from those of sinusoidal signals. In practice, they are not even aggregates of sinusoidal signals. Therefore, the frequency decomposition for the data requires technique that will account for the time-varying features of the data that will lead to deduction of physical meaning of the observations. The combination of empirical mode decomposition (EMD) and Hilbert transform has been used for extracting the various contributing oscillatory modes (EMDs) and the instantaneous frequency determination (Hilbert transform) of every physically meaningful mode called intrinsic mode function (IMF). The resulting instantaneous frequencies are used to determine instantaneous wave vectors. The combination of the instantaneous frequencies and wave vectors is useful in the identification of wave modes based on the characteristics of the waves. The results show that EMD-Hilbert can be more reliable than simple Hilbert transform alone.

关键词: EMD-Hilbert transform, instantaneous frequency and wave vector

Abstract: Observational data such as those obtained from the magnetosheath in the downstream of Earth's bow shock have waveforms that differ from those of sinusoidal signals. In practice, they are not even aggregates of sinusoidal signals. Therefore, the frequency decomposition for the data requires technique that will account for the time-varying features of the data that will lead to deduction of physical meaning of the observations. The combination of empirical mode decomposition (EMD) and Hilbert transform has been used for extracting the various contributing oscillatory modes (EMDs) and the instantaneous frequency determination (Hilbert transform) of every physically meaningful mode called intrinsic mode function (IMF). The resulting instantaneous frequencies are used to determine instantaneous wave vectors. The combination of the instantaneous frequencies and wave vectors is useful in the identification of wave modes based on the characteristics of the waves. The results show that EMD-Hilbert can be more reliable than simple Hilbert transform alone.

Key words: EMD-Hilbert transform, instantaneous frequency and wave vector

中图分类号: (Compressible flows; shock waves)

47.40.-x

47.35.-i (Hydrodynamic waves) 47.35.Bb (Gravity waves) 47.35.Lf (Wave-structure interactions)

Nathaniel E U, Beloff N, George N J. Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points[J]. 中国物理B, 2013, 22(8): 84701-084701.

Nathaniel E U, Beloff N, George N J. Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points[J]. Chin. Phys. B, 2013, 22(8): 84701-084701.

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Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points

Instantaneous frequency and wave mode identification in a magnetosheath using few spatial points

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