| 广义S变换域有色噪声与信号识别方法 |
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| 引用本文： | 高静怀,满蔚仕,陈树民.广义S变换域有色噪声与信号识别方法[J].地球物理学报,2004,47(5):869-875. |
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| 作者姓名： | 高静怀 满蔚仕 陈树民 |
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| 作者单位： | 西安交通大学电子与信息工程学院波动与信息研究所,西安,710049;大庆油田有限责任公司勘探开发科学研究院,大庆,163712 |
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| 基金项目： | 国家自然科学基金项目(40174032)，科学技术部重大基础研究前期研究专项，中国科学院知识创新工程重大项目(KZCX1SW18) |
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| 摘 要： | 为研究广义S变换域有色噪声与信号识别问题,首先推导白噪声在S变换和广义S变换下平均功率谱的统计规律,白噪声的平均功率谱与频率呈线性关系. 然后从理论上定性分析一般的有色噪声功率谱的分布特性，得出在广义S变换域有色噪声的功率谱服从自由度为2的χ2分布的规律, 并用Monte Carle方法进行了验证. 在上述工作基础上，本文提出了利用噪声和有效信号统计特性的差别，在广义S变换域中区分噪声和信号的方法，并用模型数据证明了方法的有效性.
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| 关 键 词： | S变换 广义S变换 有色噪声 地震资料处理 小波变换 薄互层探测 |
| 文章编号： | 0001-5733(2004)05-0869-07 |
| 收稿时间： | 2003-11-27 |
| 修稿时间： | 2004-6-11 |
RECOGNITION OF SIGNALS FROM COLORED NOISE BACKGROUND IN GENERALIZED S-TRANSFORMATION DOMAIN |
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| GAO Jing Huai,MAN Wei Shi,CHEN Shu Min,.RECOGNITION OF SIGNALS FROM COLORED NOISE BACKGROUND IN GENERALIZED S-TRANSFORMATION DOMAIN[J].Chinese Journal of Geophysics,2004,47(5):869-875. |
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| Authors: | GAO Jing Huai MAN Wei Shi CHEN Shu Min |
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| Institution: | 1.Institute of Wave and Information, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China 2 Institute of Exploration and Exploitation for Oil, Daqing Oil Field Limited Company, Daqing 163712, China |
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| Abstract: | We study how to distinguish signals from colored noise in the S-transform (ST) and generalized S-transform (GST) domain. First, the mean ST and GST power spectra of white noise are derived. The result shows that they are related linearly with frequency. Then the local GST power spectrum of colored noise is qualitatively analyzed. It is concluded that the local GST spectrum of colored noise follows chi-square distribution with two degree of freedom. These conclusions are verified by Monte Carle simulation. Based on the above results, a method to distinguish signals from colored noise is proposed, and its effectiveness is proved by synthetic data. |
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| Keywords: | S-transformation Generalized S-transformation Colored noise Seismic data processing Wavelet transform Detection of thin beds |
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