橢圓球面波信號間交叉項時頻分布特性研究

王紅星; 陸發(fā)平; 劉傳輝; 劉曉; 康家方

doi:10.11999/JEIT160877

橢圓球面波信號間交叉項時頻分布特性研究

doi: 10.11999/JEIT160877

基金項目:

山東省泰山學者建設工程專項經(jīng)費基金(ts20081130)

計量
- 文章訪問數(shù): 1400
- HTML全文瀏覽量: 179
- PDF下載量: 304
- 被引次數(shù): 0
出版歷程
- 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: 該文引入Wigner-Ville分布中的交叉項，通過建立交叉項時頻分布特性與橢圓球面波函數(shù)(Prolate Spheroidal Wave Function, PSWF)信號及其Hilbert變換信號性質(zhì)之間的關系，重點研究了PSWF信號間交叉項時頻分布特性與信號自身奇偶性、最佳時頻能量聚集性等性質(zhì)的關系，交叉項在時域、頻域、時頻域的能量密度分布規(guī)律。理論和仿真分析表明，PSWF信號間交叉項具有良好的對稱性、時頻能量聚集性。且交叉項時頻分布的局部特征參量，與相互作用的PSWF信號階數(shù)、功率譜局部能量密度峰值點個數(shù)以及位置密切相關，能夠反映信號在時頻域的相干程度，為下一步探索研究高效PSWF信號時頻域檢測方法提供參考依據(jù)。
- 橢圓球面波 /
- 相互作用 /
- 時頻分析 /
- 交叉項
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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參考文獻(24)

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