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)

计量
- 文章访问数: 1379
- HTML全文浏览量: 175
- PDF下载量: 303
- 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

HTML全文

参考文献(24)

FLAMMER C. Spheroidal Wave Functions[M]. California: Stanford University Press, 1956: 16-19.

CHEN Zhaonan, WANG Hongxing, ZHAO Zhiyong, et al. Novel PSWF-based multidimensional constellation modulation for broadband satellite communication[J]. Wireless Personal Communications, 2016, 88(3): 493-524. doi: 10.1007/s11277-015-3167-7.

赵志勇, 王红星, 刘锡国, 等. 正交椭圆球面波函数脉冲调制方法[J]. 电子与信息学报, 2012, 34(10): 2331-2335. doi: 10.3724/SP.J.1146.2012.00384.

ZHAO Zhiyong, WANG Hongxing, LIU Xiguo, et al. Orthogonal prolate spheroidal wave functions modulation method[J]. Journal of Electronics Information Technology, 2012, 34(10): 2331-2335. doi: 10.3724/SP.J.1146.2012.00384.

CHEN Chunyang and VAIDYANATHAN P. MIMO radar space-time adaptive processing using prolate spheroidal wave functions[J]. IEEE Transactions on Signal Processing, 2008, 56(2): 623-635. doi: 10.1109/TSP.2007.907917.

OSIPOVE A and ROKHLIN V. On the evaluation of prolate spheroidal wave functions and associated quadrature rules[J]. Applied Computational Harmonic Analysis, 2014, 36(1): 108-142. doi: 10.1016/j.acha.2013.04.002.

刘晓, 王红星, 刘传辉, 等. 基于椭圆球面波函数的数字带通滤波器设计[J]. 电讯技术, 2016, 56(2): 176-182. doi: 10.3969/ j.issn.1001-893x.2016.02.012.

LIU Xiao, WANG Hongxing, LIU Chuanhui, et al. Design of digital bandpass filters based on prolate spheroidal wave function[J]. Telecommunication Engineering, 2016, 56(2): 176-182. doi: 10.3969/j.issn.1001-893x.2016.02.012.

DU Wentao, LIAO Guisheng, and YANG Zhiwei. Robust space time processing based on bi-iterative scheme of secondary data selection and PSWF method[J]. Digital Signal Processing, 2016, 52: 64-71. doi: 10.1016/j.dsp.2016.01. 016.

张磊, 刘传辉, 王红星, 等. 基于白化变换的非正弦时域正交调制系统解调[J]. 吉林大学学报(工学版), 2013, 43(3): 819-823. doi: 10.7964/jdxbgxb201303043.

ZHANG Lei, LIU Chuanhui, WANG Hongxing, et al. Demodulation method of non-sinusoidal orthogonal modulation system based on whiting transformation[J]. Journal of Jilin University (Engineering and Technology Edition), 2013, 43(3): 819-823. doi: 10.7964/jdxbgxb 201303043.

张磊, 陈昭男, 王红星, 等. 基于串行干扰消除的非正弦系统解调方法[J]. 电波科学学报, 2013, 28(5): 934-940. doi: 10. 13443/j.cjors.2013.05.025.

ZHANG Lei, CHEN Zhaonan, WANG Hongxing, et al. Demodulation method for non-sinusoidal orthogonal modulation system based on SIC[J]. Chinese Journal of Radio Science, 2013, 28(5): 934-940. doi: 10.13443/j.cjors.2013.05. 025.

CHEN Zhaonan, WANG Hongxing, LIU Xiguo, et al. Maximal capacity nonorthogonal pulse shape modulation[J]. Chinese Journal of Aeronautics, 2015, 28(6): 1699-1708. doi: 10.1016/j.cja.2015.09.008.

张贤达, 保铮. 非平稳信号处理[M]. 北京: 国防工业出版社, 1998: 105-107.

ZHANG X D and BAO Z. Non-Stationary Signal Processing [M]. Beijing: National Defend Industry Press, 1998: 105-107.

HAYKIN S. Neural networks expand SPs horizons[J]. IEEE Signal Processing Magazine, 1996, 13(2): 24-49. doi: 10.1109/ 79.487040.

陈彦江, 王凯, 马裕超, 等. 基于Wigner-Ville分布交叉项的独塔自锚式悬索桥损伤识别试验研究[J]. 振动与冲击, 2016, 35(6): 161-168. doi: 10.13465/j.cnki.jvs.2016.06.030.

CHEN Yanjiang, WANG Kai, MA Yuchao, et al. Experimental study of single-tower self-anchored suspension bridge damage identification based on cross terms of Wigner-Ville distribution[J]. Journal of Vibration and Shock, 2016, 35(6): 161-168. doi: 10.13465/j.cnki.jvs.2016.06.030.

王军. 基于时频分布交叉项的水声信号特征提取[D]. [硕士论文], 西北工业大学, 2014: 60-73.

WANG J. Feature extraction of underwater acoustic signals based on the cross-components of time-frequency distribution [D]. [Master dissertation], Northwest Ploytechnical University, 2014: 60-73.

YU Jiexiao, LIU Kaihua, ZHANG Liang, et al. A novel fractional filter design and cross-term elimination in wigner distribution[J]. International Journal of Distributed Sensor Networks, 2015, (9): 1-12. doi: 10.1155/2015/189308.

王红星, 刘晓, 刘传辉, 等. 椭圆球面波信号乘加卷积运算后频谱特性研究[J]. 电波科学学报, 2016, 31(2): 304-313. doi: 10.13443/j.cjors.2015042301.

WANG Hongxing, LIU Xiao, LIU Chuanhui, et al. Spectral property of prolate spheroidal wave function signals after operation[J]. Chinese Journal of Radio Science, 2016, 31(2): 304-313. doi: 10.13443/j.cjors.2015042301.

施引文献

资源附件(0)

访问统计