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