Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Online ISSN : 2185-2707
Print ISSN : 0370-1239
ISSN-L : 0370-1239
On the Harmonic Analysis Random Functions
Isao OSIDA
Author information
JOURNAL FREE ACCESS

1942 Volume 24 Pages 292-296

Details
Abstract

The harmomic analysis of a quantity Γ irregularly fluctuating about zero is investigated, and it is found that the mean value of the square of the amplitude of the k-th component is given by
2=Bκ2=2/τ1/Γ2Θ,
where τ is the whole time interval and Θ is a measure of the correlation between Γ at different time points, defined in the text. The analysis of the derivatives of Γ are also discussed

Content from these authors
© The Physical Society of Japan and The Mathematical Society of Japan
Previous article Next article
feedback
Top