提取自然频率问题的对偶解法和连续化Prony法
EXTRACTION OF THE NATURAL FREQUENCIES OF A RADAR TARGET BY DUAL SPACE THEORY
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摘要: 本文提出了提取雷达目标自然频率的对偶空间解法,该解法包含了前人提出的Prony法、奇异值分解法和E脉冲法,从理论上认识了这3种算法的性能和相互间的内在联系。进而从对偶解法导出了一种新的算法连续化Prony法。相对于上述3种算法,该算法对信号中的噪声和模数都不敏感,是一种更为有效、实用的算法。文中作了数值比较和实验验证。Abstract: The dual space theory is introduced for extracting the natural frequencies of a radar target from a measured response. The theory not only contains Prony method,SVD method and E pulse method, but also gives a new scheme-the Combination Operation(CO) method, which is shown to be more insensitive to random noise and to estimation of modal contents. Verification of the CO mehtod is accomplished by comparing the numerical results with those of the other three methods. The applicability of CO method to a conducting sphere is also demonstrated.
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M. L. Van Blaricum, et al., IEEE Trans. on AP, AP-23(1975)6, 777-781.[2]H. J. Pricc, An Improved Prony Algorithm for Exponential Analysis, in Proc. IEEE Int. Symp. Electromagn. Compat., San Uiego, CA, (1979), pp. 310-313.[3]E. J. Rothwell, K. M. Chen, IEEE Trans, on AP, AP-35 (1987) 6, 715-720.[4]贾有忠,冯孔豫,电子科学学刊,10(1988) 6, 536-540.[5]Li Jing et al., On the lJnstability of Prony Method, Proc., Second Int. Symp. Antennas and EM Theory, Shanghai, China, (1989), pp. 72-74.[6]李敬,极点提取间题的研究,西安交通大学博士论文,西安,1990年. -
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