Accession Number:

AD0446645

Title:

A COMMENTARY ON THE ZERO-CROSSING PROBLEM WITH A NOTE ON THE MULTIVARIATE GAUSSIAN DISTRIBUTION,

Descriptive Note:

Corporate Author:

STANFORD UNIV CA STANFORD ELECTRONICS LABS

Personal Author(s):

Report Date:

1964-06-01

Pagination or Media Count:

54.0

Abstract:

The first part of this report assimilates, organizes, occasionally extends, and then presents in a manner attractive to the engineering community, the salient features of the previously published material relating to the zerocrossing problem. The problem, which is associated with random processes, is first developed in its simplest form, then interpreted for both deterministic and nondeterministic random processes. The report briefly considers the classification of random processes before introducing operations on the random waveform which are useful some only conceptually in the analysis of this problem. The particular operation of infinite limiting is employed to form a binary random process from which an expression for beta, the average number of zeros per second, is obtained and applied to various processes. Those processes for which solutions are known are enumerated. The first part concludes with statements of generalized forms of the basic problem and with an indication of various technical disciplines in which the solution to the zero-crossing problem may have application. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE