Title :
On the distribution function of a random power series with Bernoulli variables as coefficients
Author :
Sugiyama, Hirosi ; Huzii, Akira
Author_Institution :
Dept. of Inf. Sci., Shounan Inst. of Technol., Fujisawa, Japan
fDate :
11/1/1995 12:00:00 AM
Abstract :
An explicit formula is given for the distribution function of the Bernoulli random power series when the argument is the pth root of 1/2. It is expressed as a spline of degree p. One application is to the study of intersymbol interference in communication theory
Keywords :
convolution; information theory; intersymbol interference; series (mathematics); splines (mathematics); statistical analysis; Bernoulli variables; communication theory; distribution function; intersymbol interference; random power series; spline; Convolution; Distribution functions; Error probability; Fourier transforms; Information science; Intersymbol interference; Materials science and technology; Random variables; Spline; Writing;
Journal_Title :
Information Theory, IEEE Transactions on
