最大熵谱的振幅谱和相位谱计算
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摘要
最大熵谱估计是高分辩率的现代谱估计方法,它有着传统谱估计方法不可比拟的优越性。但最大熵谱估计中振幅失真,使它的应用受到很大限制。本文着重介绍了运用准确最小二乘法计算最大熵谱信号的最佳频率成分,再利用三角函数回归法求取原始信号的真实振幅谱和相位谱。对最佳频率成分位置的确定,采用一种既简便又准确的方法,比前人的方法更为优越。
The estimation of maximum entropy spectrum is one of the modern estimation methods of high resolution spectrum. It has incomparable advantage over the conventional spectrum estimation, especially in processing short data. However, the use of the maximum entropy spectrum is much limited for the amplitude distortion in the estin ation.This paper emphatically introduces the accurate least squares method which is used to compute the optimum frequencies of the maximum entropy spectral signal and to get the true amplitudes and phases of the original signals by the regression method of trigonometric function. In this case, the method used to determine the position of the optimum frequencies is a simple and accurate method,which is much better than those used before.
The estimation of maximum entropy spectrum is one of the modern estimation methods of high resolution spectrum. It has incomparable advantage over the conventional spectrum estimation, especially in processing short data. However, the use of the maximum entropy spectrum is much limited for the amplitude distortion in the estin ation.This paper emphatically introduces the accurate least squares method which is used to compute the optimum frequencies of the maximum entropy spectral signal and to get the true amplitudes and phases of the original signals by the regression method of trigonometric function. In this case, the method used to determine the position of the optimum frequencies is a simple and accurate method,which is much better than those used before.
引文
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2 Kay. S. M. and Marple. S. L. Spectral Analysis-Amordern Perspective. Proc. of the IEEE, 1981, Vol 69 p1380～1419
3 Marple. S. L. A new Autoregressive Spectrum Analysis Algorithm. IEEE Trans. Assp, 1980,28 (4) , p441～454
4 黄俊钦.随机信号处理.北京航空航天大学出版社,1990
5 谢国瑞.应用矩阵方法.化学工业出版社,1988
6 程云鹏.矩阵论.西北工业大学出版社,1989
7 徐伯勋,白旭滨.最大熵谱估计在油气检测中的应用.石油物探.1990,29(2) :1～11
8 徐伯勋,白滨旭.最大熵谱估计中振幅谱和相位谱的求法.石油物探.1987,26(2) :66～71
2 Kay. S. M. and Marple. S. L. Spectral Analysis-Amordern Perspective. Proc. of the IEEE, 1981, Vol 69 p1380～1419
3 Marple. S. L. A new Autoregressive Spectrum Analysis Algorithm. IEEE Trans. Assp, 1980,28 (4) , p441～454
4 黄俊钦.随机信号处理.北京航空航天大学出版社,1990
5 谢国瑞.应用矩阵方法.化学工业出版社,1988
6 程云鹏.矩阵论.西北工业大学出版社,1989
7 徐伯勋,白旭滨.最大熵谱估计在油气检测中的应用.石油物探.1990,29(2) :1～11
8 徐伯勋,白滨旭.最大熵谱估计中振幅谱和相位谱的求法.石油物探.1987,26(2) :66～71
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