Accession Number:

AD0735890

Title:

Representation and Analysis of Signals. Part XXVIII. Zero-Crossings of Shot-Noise Processes.

Descriptive Note:

Doctoral thesis,

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

• White,Charles L. , Jr

Report Date:

1969-06-01

Pagination or Media Count:

205.0

Abstract:

The work is directed at the problem of computing beta, the expected number of zero-crossings per unit time, for random processes of shot-noise type. For the case that the underlying impulse response of the process has finite time duration, sufficient conditions for beta to be given in terms of an expression involving a characteristic function of the process are found. A series expansion for beta in powers of lambda, the parameter of the imbedded Poisson process, is developed, and betalambda is shown to be an entire function. Author

Descriptors:

• (*INFORMATION THEORY
• *STOCHASTIC PROCESSES)
• RANDOM VARIABLES
• POWER SPECTRA
• SAMPLING
• DISTRIBUTION FUNCTIONS
• ANALYTIC FUNCTIONS
• COMPLEX VARIABLES
• POWER SERIES
• INTEGRALS
• INTEGRATION
• NUMERICAL ANALYSIS
• THESES

Subject Categories:

• Statistics and Probability
• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE