| 椭圆球面波信号乘加卷积运算后频谱特性研究 |
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| 引用本文： | 王红星,刘晓,刘传辉,陈昭男,康家方.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. |
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| 作者姓名： | 王红星 刘晓 刘传辉 陈昭男 康家方 |
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| 作者单位： | 1.海军航空工程学院电子信息工程系, 烟台 264001 |
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| 基金项目： | 国家自然科学基金(60772056)，山东省“泰山学者”建设工程专项经费基金 |
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| 摘 要： | 椭圆球面波函数(Prolate Spheroidal Wave Function, PSWF)集是时频域能量聚集性最佳的信号形式, 在提高系统频谱利用率、降低频带间干扰方面具有天然的优势.针对椭圆球面波信号在放大、检测及滤波等工程应用中频谱发生变化的问题, 重点研究了椭圆球面波信号相加、相乘和时域卷积运算后频谱特性的变化, 通过理论分析和仿真验证给出了椭圆球面波信号乘加卷积运算后频谱特性的变化规律, 讨论了乘加卷积运算对椭圆球面波函数工程应用的影响, 为椭圆球面波脉冲信号相关研究提供一定的理论参考.
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| 关 键 词： | 椭圆球面波函数 频谱特性 运算 工程应用 |
| 收稿时间： | 2015-04-23 |
Spectral property of prolate spheroidal wave functions signals after operation |
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| Affiliation: | 1.Department of Electrical and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China2.Key Laboratory on Signal & Information Processing of Shandong Province, Yantai 264001, China |
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| Abstract: | Prolate spheroidal wave function(PSWF) with the best energy concentration in time and frequency domain have natural advantages in improving spectral efficiency and reducing interference of inter-frequency. Since the spectral of PSWF varies during engineering practice such as signal detection, signal amplification and filtering, the spectral property of PSWF signal after addition, multiplication and convolution is analyzed. Moreover, some change rules of PSWF after operation are summarized, as well as the influence from operation between PSWFs to the using of PSWFs in engineering practice are analyzed, which provides the theoretical foundation for the research of PSWF signals. |
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| Keywords: | prolate spheroidal wave functions (PSWF) spectral characteristic operation engineering application |
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