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分数阶余弦变换的卷积定理

Convolution theorems for fractional cosine transform
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摘要 在现有基础上,给出了分数阶余弦变换的卷积定义,并得到了分数阶余弦变换的卷积定理,结果可以看作是经典结果的进一步推广,并分析了所得结果应用于信号滤波方面的优越性。 The definition of convolution operation for the fractional cosine transform( FRCT) is given firstly. Then the associate convolution theorems for FRCT are derived in details. Finally,the possible application of the derived results to signal filtering is studied.
出处 《北京信息科技大学学报(自然科学版)》 2016年第5期30-35,共6页 Journal of Beijing Information Science and Technology University
基金 国家自然科学基金资助项目(61402044) 北京信息科技大学校基金资助项目(1425011)
关键词 分数阶FOURIER变换 分数阶余弦变换 卷积定理 卷积运算 fractional Fourier transform fractional cosine transform convolution theorem convolution operation
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参考文献17

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