傅里叶变换的时域卷积定理和频域卷积定理及其应用
首发时间:2020-12-29
摘要:本文探讨了卷积的理论与应用,主要研究了傅里叶变换的时域和频域卷积定理,给出了分数阶余弦变换的卷积公式,并将其推广得到n重卷积公式。此外,本文讨论了卷积在概率、滤波器和公差分析中的应用。
关键词: 卷积; 傅里叶变换; 余弦变换
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Convolution Theorem in Time Domain and in Frequency Domain for Fourier Transfrom and Its Applications
Abstract:This paper explores the theory of convolution , mainly reasearches convolution theorems of Fourier transformation, gives the convolution formula of fractional order cosine transform, and extends which to the n-multiple convolution formula. Besides, this paper further discusses the application of convolution related probability, filter, tolerance analysis.
Keywords: Convolution Fourier transformation Cosine transform
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傅里叶变换的时域卷积定理和频域卷积定理及其应用
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