DocumentCode :
874065
Title :
"On random phase" [comments on A. Papoulis]
Author :
Esposito, Raffaele
Author_Institution :
Raytheon Research Div., Waltham, Mass.
Volume :
53
Issue :
9
fYear :
1965
Firstpage :
1227
Lastpage :
1227
Abstract :
With reference to the above-named correspondence by A. Papoulis [ibid., vol. 53, p. 526, May 1965] the commentor points out that in order to determine the density of the process z(t) = a sin (ωt + ϕ) it is not necessary to make the assumption that ϕ is independent of a. The necessary assumption (a much weaker one) is rather the stationarity of the conditional distribution ω(ϕ|a); it then follows that ϕ is independent of a and that the distribution of ϕ is uniform. This result was proved in 1958 by Bunkin and Gudzenko, as previously referred to by the commentor in the IRE PROCEEDIXGS [ibid., vol. 50, p. 1997, September 1962].
Keywords :
Circuits; Complex networks; Graph theory; Matrices; Probability; Random processes; Reliability;
fLanguage :
English
Journal_Title :
Proceedings of the IEEE
Publisher :
ieee
ISSN :
0018-9219
Type :
jour
DOI :
10.1109/PROC.1965.4171
Filename :
1446101
Link To Document :
بازگشت