| Burg算法性能的理论分析 |
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| 引用本文： | 陆根源,陈孝桢,乔晓宇.Burg算法性能的理论分析[J].哈尔滨工程大学学报,1986(3). |
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| 作者姓名： | 陆根源 陈孝桢 乔晓宇 |
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| 作者单位： | 哈尔滨船舶工程学院水声工程系
(陆根源，陈孝桢)，哈尔滨船舶工程学院水声工程系(乔晓宇) |
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| 摘 要： | 对于无噪声的单个实正弦信号使用Burg算法的情况,推导了反射系数的公式,指出这时P阶预测误差滤波器可以看作P/2个二阶非递归的数字滤波器的级联,从而功率谱曲线是P/2个单峰曲线的相乘.推导了这些单峰位置的公式.引进了描述这些单峰尖锐程度的量——品质因素,推导了相应的公式.讨论了功率谱的频率误差和谱线分裂问题.
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| 关 键 词： | Burg算法 最大熵谱估计 预测误差滤波器 反射系数 频率误差 谱线分裂 品质因数 |
A Theoretical Analysis for the Property of Burg' s Algorithm |
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| Lu Genyuan, Chen XiaoZhen, Qiao Xiaoyu.A Theoretical Analysis for the Property of Burg' s Algorithm[J].Journal of Harbin Engineering University,1986(3). |
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| Authors: | Lu Genyuan Chen XiaoZhen Qiao Xiaoyu |
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| Affiliation: | Dept. of Underwater Acoustical Eng. |
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| Abstract: | In the case of Burg's algorithm used for a single real sinusoidal signal without noise, the formula of reflection coefficients is derived.In this case, P-order prediction-error filter may be viewed as the cascade of p/2 two-order nonrecursion digital filters, thus the curve of power spectrum is the product of p/2 curves with single peak.The formula of these single peak's position is also derived.A new term, quality factor, is introduced to describe the degree sharpness for these single peaks, and the associated formula is derived.The problems of frequency error and spectra line splitting of the power spectrum are discussed. |
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| Keywords: | Burg's algorithm maximum-entropy spectral estimation prediction-error filter reflection coefficient frequency error spectra line splitting quality factor |
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