| 抽样函数卷积不变性的标注 |
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| 引用本文： | 孙晓军,王晓飞,潘洪涛. 抽样函数卷积不变性的标注[J]. 黑龙江大学自然科学学报, 2005, 22(3): 319-321 |
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| 作者姓名： | 孙晓军 王晓飞 潘洪涛 |
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| 作者单位： | 黑龙江大学,电子工程学院,黑龙江,哈尔滨,150080;黑龙江大学,电子工程学院,黑龙江,哈尔滨,150080;黑龙江大学,电子工程学院,黑龙江,哈尔滨,150080 |
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| 摘 要： | 信号理论经常用到抽样函数Sa(t)=sin(t)t,通过实例提出了抽样函数具有卷积不变性,但难以直接证明,在大多教材中也未见讨论。为此改用数值的方法近似计算抽样函数的卷积,给出了离散卷积的计算结果和波形图,验证了抽样函数的卷积不变性。
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| 关 键 词： | 抽样函数 傅立叶变换 卷积定理 |
| 文章编号： | 1001-7011(2005)03-0319-03 |
| 修稿时间： | 2004-08-16 |
Notes on convolution -invariant property of sampling function |
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| SUN Xiao-jun,WANG Xiao-fei,PAN Hong-tao. Notes on convolution -invariant property of sampling function[J]. Journal of Natural Science of Heilongjiang University, 2005, 22(3): 319-321 |
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| Authors: | SUN Xiao-jun WANG Xiao-fei PAN Hong-tao |
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| Abstract: | Sampling function Sa(t)=sin(t)t is often applicable to signal theory. An instance in illustration of the convolution-invariant property (CIP) that is hardly proved and seldom discussed in most teaching materials is shown. Convolution of sampling function is replaced approximately by numerical calculation the computation result and curve figure are shown and CIP is verified. |
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| Keywords: | sampling function fourier transform convolution theorem |
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