| 一种新的$1/f$过程小波模型 |
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| 引用本文： | 刘峰.一种新的$1/f$过程小波模型[J].系统科学与数学,2007,27(6):935-942. |
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| 作者姓名： | 刘峰 |
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| 作者单位： | 西安交通大学理学院信息科学计算系,西安,710049 |
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| 摘 要： | 给出了一种新的二进小波1/f过程模型,从理论上证明了一类谱指数为H的近似1/f过程可通过一簇平稳随机过程产生.由于所提方法利用了1/f过程小波系数的相关性,因而有效地减少了合成1/f过程的谱误差.数值实验结果表明,新模型很好地改进了已有模型.
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| 关 键 词： | 二进小波 1/f过程 谱误差. |
| 收稿时间： | 2004-6-7 |
| 修稿时间： | 2004年6月7日 |
Model of $1/f$ Processes Based on Dyadic Wavelets |
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| Liu Feng.Model of $1/f$ Processes Based on Dyadic Wavelets[J].Journal of Systems Science and Mathematical Sciences,2007,27(6):935-942. |
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| Authors: | Liu Feng |
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| Affiliation: | Department of Information Science, School of Science, Xi'an Jiaotong University |
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| Abstract: | A new model of $1/f$ processes based on dyadic wavelets was proposed. It was theoretically shown that a near $1/f$ process with spectral parameter $H$ can be generated by a collect of stationary processes. Since the proposed method utilized the correlation among wavelet coefficients of a $1/f$ process, it efficiently reduces the spectral errors of the synthesized $1/f$ processes. Numerical experimental results demonstrate that the proposed model desirably improves the previous models. |
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| Keywords: | Dyadic wavelet $1/f$process spectral error |
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