DocumentCode :
913627
Title :
On the representation of continuous parameter processes by a sequence of random variables
Author :
Bharucha, B. ; Kadota, T.T.
Volume :
16
Issue :
2
fYear :
1970
fDate :
3/1/1970 12:00:00 AM
Firstpage :
139
Lastpage :
141
Abstract :
This paper examines the question of representing a continuous parameter random process 
by a sequence of random variables "without loss of information." The principal result is that such a representation by expansion coefficients relative to a basis 
of 
is always possible, regardless of the orthogonality of and of the boundedness of the time interval 
, provided only that the process is continuous in probability and almost every sample path has finite energy.
by a sequence of random variables "without loss of information." The principal result is that such a representation by expansion coefficients relative to a basis of is always possible, regardless of the orthogonality of and of the boundedness of the time interval , provided only that the process is continuous in probability and almost every sample path has finite energy.Keywords :
Sequences; Signal representations; Stochastic processes; Data compression; Digital systems; Feedback; Laboratories; Nonlinear systems; Random processes; Random variables; Rate distortion theory; Sampling methods; Telephony;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1970.1054433
Filename :
1054433
Link To Document :
