| 线性正则变换的性质及应用 |
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| 引用本文： | 向强. 线性正则变换的性质及应用[J]. 西南民族学院学报(自然科学版), 2009, 35(2): 346-350 |
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| 作者姓名： | 向强 |
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| 作者单位： | 西南民族大学电气信息工程学院,四川成都610041 |
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| 摘 要： | 线性正则变换（LCT）作为Fourier变换、分数阶Fourier变换的推广形式，具有更强的灵活性，是一种有效的信号处理工具线性正则变换与Fourier变换、分数阶Fourier变换一样具有许多性质，本文从线性正则变换的定义出发，对这些性质进行了系统的归纳和总结，并对其应用进行举例说明，展现了线性正则变换在信号处理领域应用的潜力和能力，进一步丰富了线性正则变换的理论研究体系．
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| 关 键 词： | 线性正则变换 Fourier变换 分数阶Fourier变换 信号处理 |
Properties for linear canonical transform and its application |
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| XIANG Qiang. Properties for linear canonical transform and its application[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(2): 346-350 |
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| Authors: | XIANG Qiang |
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| Affiliation: | XIANG Qiang ( School of Electric ＆ Information Engineering, Southwest University for Nationalities, Chengdu 610041, P. R. C. ) |
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| Abstract: | As generalization of the Fourier transform and the fractional Fourier transform, the linear canonical transform （LCT）proves itself to be more flexible than the former.LCT as an effective tool for signal processing. Similar to the Fourier transform and the fractional Fourier transform, there are many properties for the linear canonical transform. In this paper, the definition of LCT and some special cases are given, then the we list some important properties for LCT and give proof for each. The application of LCT is illustrated finally, displaying LCT＇s potentials and capabilities in the field of application of signal processing. It will enrich the the oretical system of LCT. |
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| Keywords: | linear canonical transform fourier transform fractional fourier transform signal processing |
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