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 : JUN 1969

Pagination or Media Count : 205

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 beta(lambda) 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