| 基于惩罚函数的谐波信号个数估计 |
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| 引用本文： | 刘园园,边家文,刘永凯,付红伟,王莹. 基于惩罚函数的谐波信号个数估计[J]. 工程地球物理学报, 2009, 6(2): 235-239 |
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| 作者姓名： | 刘园园 边家文 刘永凯 付红伟 王莹 |
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| 作者单位： | 中国地质大学,数理学院,武汉,430074 |
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| 基金项目： | 国家自然科学基金，中国地质大学(武汉)优秀青年教师资助计划 |
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| 摘 要： | 在加性噪声情形下，惩罚函数方法是一种简洁有效的谐波信号个数估计方法。本文将此方法用于乘性和加性噪声并存情形，通过最小化目标函数得到谐波信号个数的估计，并且证明了估计的一致性。模拟实验也证实了该算法在乘性和加性噪声并存情形依然有效。
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| 关 键 词： | 惩罚函数 谐波信号 错误检测率 |
Estimating the Number of Sinusoids by Using the Penalty Function Approach |
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| Liu Yuanyuan,Bian Jiawen,Liu Yongkai,Fu Hongwei,Wang Ying. Estimating the Number of Sinusoids by Using the Penalty Function Approach[J]. Chinese Journal of Engineering Geophysics, 2009, 6(2): 235-239 |
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| Authors: | Liu Yuanyuan Bian Jiawen Liu Yongkai Fu Hongwei Wang Ying |
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| Affiliation: | (School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China) |
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| Abstract: | Penalty function based method is a very effective method to estimate the number of sinusoid in presence of additive noise. In this paper, we utilize this method in presence of both additive noise and multiplicative noise, by minimizing the objective function, we obtain the estimator of the number of the sinusoid and we also prove the consistency of this method. Finally, simulation results also verify the effectiveness of this method in presence of both additive noise and multiplicative noise. |
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| Keywords: | penalty function sinusoid probability of wrong detection |
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