谭天荣.对提早响应问题的再考察(英文)[J].数学研究及应用,2003,23(2):261~269 |
对提早响应问题的再考察(英文) |
A Reexamination on the Problem of Advanced Response |
投稿时间:2000-10-04 |
DOI:10.3770/j.issn:1000-341X.2003.02.013 |
中文关键词: |
英文关键词:nonstandard analysis theory: Fourier analysis δ-function signal advanced response |
基金项目: |
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摘要点击次数: 1902 |
全文下载次数: 1917 |
中文摘要: |
本文将非标准分析应用于信号分析中的提早响应问题,证明提早响应产生于付里叶分析过程而不是产生于信号传输过程.这一例子表明标准分析对于实证科学是不完备的. |
英文摘要: |
In the theory of signal analysis, the existence of the advanced response, whose appearance is earlier than the input, violates the law of causation. It is believed that the presence of advanced response is due to unreasonable setting of the characteristic of the system. Hereof, by means of nonstandard analysis, it is concluded that the advanced response arises from the course of Fourier analysis other than the transmission process of the signal. |
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