| Fourier变义换和Gabor变换与小波变换的比较研究 |
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| 引用本文： | 贾朱植,董立文,董勃,谢元旦.Fourier变义换和Gabor变换与小波变换的比较研究[J].鞍山科技大学学报,2005,28(1):12-16,21. |
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| 作者姓名： | 贾朱植 董立文 董勃 谢元旦 |
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| 作者单位： | [1]鞍山科技大学高等职业技术学院，辽宁鞍山114044 [2]鞍山科技大学计算机科学与工程学院,辽宁鞍山114044 [3]鞍钢新轧钢股份有股公司,辽宁鞍山114042 |
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| 摘 要： | 对Fourier变换、Gabor变换和小波变换进行比较。从Fourier变换的定义出发，进行分析阐述，指出了Fburier变换不具有局部化分析的功能以及时频完全分离的缺点：通过对Gabor变换的核函数进行时频两域分析，说明了它品质因数是不恒定的以及它的一些缺陷；最后对小波变换的核函数进行分析，论述了小波变换具有品质因数恒定和多分辨率分析等优点。
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| 关 键 词： | Fourier变换 Gabor变换 小波变换 |
| 文章编号： | 1672-4410(2005)01-0012-05 |
Comparsion study of Fourier transform,Gabor transform and wavelet transform |
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| JIA Zhu-zhi,DONG Li-wen,DONG Bo,XIE Yuan-dan.Comparsion study of Fourier transform,Gabor transform and wavelet transform[J].Journal of Anshan University of Science and Technology,2005,28(1):12-16,21. |
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| Authors: | JIA Zhu-zhi DONG Li-wen DONG Bo XIE Yuan-dan |
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| Institution: | JIA Zhu-zhi~1,DONG Li-wen~2,DONG Bo~3,XIE Yuan-dan~2 |
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| Abstract: | Fourier transform,Gabor transform and wavelet transform were compared.From the definition of Fourier transform a conclusion can be reached that it has the disadvantages of complete separation of time and frequency and the disability of local analysis.The inconstancy of the quality factor of Gabor transform and its limitations were educed by the time-frequency fields analysis of its nuclear function.On the contrary,wavelet transform has the advantages of multi-resolution analysis and the constancy of its quality factor. |
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| Keywords: | Fourier transform Gabor transform wavelet transform |
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