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Expected Number of Crossings of Axis by Linearly Increasing Function Plus Noise

 

作者: Frank W. Lehan,  

 

期刊: Journal of Applied Physics  （AIP Available online 1951）
卷期: Volume 22, issue 8  

页码: 1067-1069

 

ISSN:0021-8979

 

年代: 1951

 

DOI:10.1063/1.1700102

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The expected number of times the functione(t)=at+eN(t) crosses thetaxis in a positive direction prior to any given time is calculated, whereeN(t) is a random noise function of arbitrary power spectrum. The solution is given as the product of two functions. Curves are presented for the two functions.

 

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