Probability Distributions of the Zeros of Random Noise

Citation

Gates, Clarence Rollins (1951) Probability Distributions of the Zeros of Random Noise. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2drf-q802. https://resolver.caltech.edu/CaltechTHESIS:06262025-155547253

Abstract

A complete expression for the probability distribution of the zero crossing periods of filtered random noise is given. The first term of this expression is evaluated and extended to include narrow, symmetrical spectra. The behavior of the frequency function about the second and further half-periods is investigated.

Apparatus has been designed and constructed which gives directly the distribution function of the zeros of filtered random noise. Distribution functions corresponding to several filters are shown. Correlation between theoretical and experimental distributions is good.

Item Type:	Thesis (Dissertation (Ph.D.))
Subject Keywords:	(Electrical Engineering and Mathematics)
Degree Grantor:	California Institute of Technology
Division:	Engineering and Applied Science
Major Option:	Electrical Engineering
Minor Option:	Mathematics
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Pickering, William Hayward
Thesis Committee:	Unknown, Unknown
Defense Date:	1 January 1951
Record Number:	CaltechTHESIS:06262025-155547253
Persistent URL:	https://resolver.caltech.edu/CaltechTHESIS:06262025-155547253
DOI:	10.7907/2drf-q802
Default Usage Policy:	No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:	17489
Collection:	CaltechTHESIS
Deposited By:	Benjamin Perez
Deposited On:	27 Jun 2025 21:36
Last Modified:	27 Jun 2025 22:19

Thesis Files

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