DocumentCode :
916652
Title :
Narrow-band systems and Gaussianity
Author :
Papoulis, Athanasios
Volume :
18
Issue :
1
fYear :
1972
fDate :
1/1/1972 12:00:00 AM
Firstpage :
20
Lastpage :
27
Abstract :
The approach to Gaussianity of the output 
of a narrow-band system 
is investigated. It is assumed that the input 
is an 
-dependent process, in the sense that the random variables and 
are independent for 
. With 
and 
the distribution functions of and of a suitable normal process, a realistic bound 
on the difference 
is determined, and it is shown that 
as the bandwidth 
of the system tends to zero. In the special case of the shot noise process begin{equation} y(t) = sum_i h(t - t_i) end{equation} it is shown that begin{equation} mid F(y) - G(y) mid < (omega_o/lambda) frac{1}{2} end{equation} where 
is the average density of the Poisson points 
.
of a narrow-band system is investigated. It is assumed that the input is an -dependent process, in the sense that the random variables and are independent for . With and the distribution functions of and of a suitable normal process, a realistic bound on the difference is determined, and it is shown that as the bandwidth of the system tends to zero. In the special case of the shot noise process begin{equation} y(t) = sum_i h(t - t_i) end{equation} it is shown that begin{equation} mid F(y) - G(y) mid < (omega_o/lambda) frac{1}{2} end{equation} where is the average density of the Poisson points .Keywords :
Band-limited communication; Gaussian processes; Linear systems; Stochastic processes; Aerospace engineering; Bandwidth; Distribution functions; Filters; Gaussian processes; Iron; Linear systems; Narrowband; Random variables; Signal processing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1972.1054731
Filename :
1054731
Link To Document :
