椭圆球面波信号间交叉项时频分布特性研究

王红星; 陆发平; 刘传辉; 刘晓; 康家方

doi:10.11999/JEIT160877

椭圆球面波信号间交叉项时频分布特性研究

doi: 10.11999/JEIT160877

基金项目:

山东省泰山学者建设工程专项经费基金(ts20081130)

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- 被引次数: 0
出版历程
- 收稿日期: 2016-08-26
- 修回日期: 2017-01-12
- 刊出日期: 2017-06-19

Study on Time-frequency Characteristics of Cross-terms Between Prolate Spheroidal Wave Function Signal

Funds:

Taishan Scholar Special Foundation of Shandong Province (ts20081130)

摘要

摘要: 该文引入Wigner-Ville分布中的交叉项，通过建立交叉项时频分布特性与椭圆球面波函数(Prolate Spheroidal Wave Function, PSWF)信号及其Hilbert变换信号性质之间的关系，重点研究了PSWF信号间交叉项时频分布特性与信号自身奇偶性、最佳时频能量聚集性等性质的关系，交叉项在时域、频域、时频域的能量密度分布规律。理论和仿真分析表明，PSWF信号间交叉项具有良好的对称性、时频能量聚集性。且交叉项时频分布的局部特征参量，与相互作用的PSWF信号阶数、功率谱局部能量密度峰值点个数以及位置密切相关，能够反映信号在时频域的相干程度，为下一步探索研究高效PSWF信号时频域检测方法提供参考依据。
- 椭圆球面波 /
- 相互作用 /
- 时频分析 /
- 交叉项
Abstract: This paper introduces the cross-terms in Wigner-Ville distribution to explore the time-frequency mechanism and regular of interaction between Prolate Spheroidal Wave Function (PSWF). By establishing the relationship between time-frequency characteristics of cross-terms and the excellent characteristics of PSWF and its Hilbert signal, the relationship between the cross-terms of PSWF signal and the characteristics of PSWF signal is mainly studied, such as parity feature and the best energy clustering, and the regular of the energy density of cross-terms in time domain, frequency domain, and time-frequency domain is studied. Both the mathematical deduction and simulation result show that the time-frequency characteristics of cross-terms have good symmetry and energy clustering. Meanwhile, the time-frequency localization characteristics of Wigner-Ville distribution have close relationship with the order and power spectrum density of PSWF signal, reflecting the degree of coherence between PSWF signals. Furthermore, those characteristics of cross-terms which are found can provide reference basis for the research on efficient time-frequency detection method for PSWF signal.
- Prolate spheroidal wave function /
- Signal interaction /
- Time-frequency analysis /
- Cross-terms

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参考文献(24)

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