| 时频分析的模糊性及应用 |
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| 引用本文： | 孟子厚,赵松龄.时频分析的模糊性及应用[J].同济大学学报(自然科学版),1994,22(2):165-171. |
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| 作者姓名： | 孟子厚 赵松龄 |
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| 作者单位： | 浙江大学机械系，同济大学声学所 |
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| 基金项目： | 国家教委高校博士点专项科研基金 |
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| 摘 要： | 从时频分布概念的局限性出发，提出的时频分布本质上是个模糊概念的观点，将模糊集的概念和方法引入时频分析，建立了时频分布模糊性的规范化定义，相应的测度指标和操作规则，在此基础上进一步引入时频域上模糊空间的概念，将此概念用于对Ｗｉｇｎｅｒ分布的分析和再处理具有良好的效果。
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| 关 键 词： | 时频分析 模糊集 信号处理 |
Theory and Application of Fuzzy Time-Frequency Analysis |
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| Meng Zihou.Theory and Application of Fuzzy Time-Frequency Analysis[J].Journal of Tongji University(Natural Science),1994,22(2):165-171. |
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| Authors: | Meng Zihou |
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| Abstract: | Based on the research of the classical time-frequency analysis(TFA),we propose that the time-frequency distribution is really a fuzzy concept. Then the theory of fuzzy sets is introduced into TFA. The mathematical definition for the fuzziness in TFA is given. Some necessary survey rules and indexes are defined. For the application, we propose the concept of fuzzy point on time-frequency surface, and use the concept to reprocess the Wigner distribution to make the WD pictures clearer and more audio-visual for the interpretatoin. |
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| Keywords: | Time-frequency analysis Wigner distribution Fuzzy characteristic Signal processing |
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