DocumentCode
943655
Title
A differential equation related to a random telegraph wave problem--Computer calculation of series solution
Author
Pawula, R.F. ; Rice, S.O.
Volume
33
Issue
6
fYear
1987
fDate
11/1/1987 12:00:00 AM
Firstpage
882
Lastpage
888
Abstract
A method is developed for calculating the probability density function 
of the output of an 
filter when the input is a particular kind of random telegraph wave. The method makes use of a computer to determine the numerical values of the coefficients in two series solutions, one of which contains a logarithm, of a fourth-order linear differential equation. The constants of integration are determined from the boundary conditions by a procedure that involves a summation of the series. Representative values and curves of are presented, and the generality of the computer method is discussed briefly,
of the output of an filter when the input is a particular kind of random telegraph wave. The method makes use of a computer to determine the numerical values of the coefficients in two series solutions, one of which contains a logarithm, of a fourth-order linear differential equation. The constants of integration are determined from the boundary conditions by a procedure that involves a summation of the series. Representative values and curves of are presented, and the generality of the computer method is discussed briefly,Keywords
RC filters; Algebra; Application software; Boundary conditions; Density functional theory; Differential equations; Filters; Military computing; Probability density function; Random variables; Telegraphy;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1987.1057379
Filename
1057379
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