The resultant of a large number of events of random phase

Author:

Domb C.

Abstract

Rayleigh's method of deducing the probability distribution of the amplitude of the sum of n equal vibrations of random phase is generalized to the case when the amplitude of each vibration is a definite function of its phase. The same method is applied to the shot effect and it enables the distribution of random noise to be obtained. Campbell's Theorem and its generalizations can then be deduced from this.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. '1001' correlations in random wave fields;Waves in Random Media;1998-01

2. ‘1001’ correlations in random wave fields;Waves in Random Media;1998-01

3. Basic Science and Research for Naval Radar, 1935–45;The Development of Radar Equipments for the Royal Navy, 1935–45;1995

4. Spontaneous fluctuations;Reports on Progress in Physics;1949-01-01

5. Note on the random-walk problem;Mathematical Proceedings of the Cambridge Philosophical Society;1947-10

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