提取自然頻率問題的對(duì)偶解法和連續(xù)化Prony法
EXTRACTION OF THE NATURAL FREQUENCIES OF A RADAR TARGET BY DUAL SPACE THEORY
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摘要: 本文提出了提取雷達(dá)目標(biāo)自然頻率的對(duì)偶空間解法,該解法包含了前人提出的Prony法、奇異值分解法和E脈沖法,從理論上認(rèn)識(shí)了這3種算法的性能和相互間的內(nèi)在聯(lián)系。進(jìn)而從對(duì)偶解法導(dǎo)出了一種新的算法連續(xù)化Prony法。相對(duì)于上述3種算法,該算法對(duì)信號(hào)中的噪聲和模數(shù)都不敏感,是一種更為有效、實(shí)用的算法。文中作了數(shù)值比較和實(shí)驗(yàn)驗(yàn)證。
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關(guān)鍵詞:
- 提取自然頻率; 對(duì)偶空間方法; 抗噪聲; 模數(shù)無關(guān)性
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. -
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]賈有忠,馮孔豫,電子科學(xué)學(xué)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,極點(diǎn)提取間題的研究,西安交通大學(xué)博士論文,西安,1990年. -
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