DocumentCode :
795283
Title :
Truncated sampling expansions
Author :
Papoulis, Anthanasios
Author_Institution :
Polytechnic Institute of Brooklyn, Brooklyn, NY, USA
Volume :
12
Issue :
5
fYear :
1967
fDate :
10/1/1967 12:00:00 AM
Firstpage :
604
Lastpage :
605
Abstract :
Bounds on the output of a linear system are developed and used to reexamine the nature of the truncation error eN in the sampling expansion of a band-limited signal 
. It is shown that if has finite energy, then the maximum of 
is bounded by the mean-square value of the error 
in the approximation of 
by a truncated Fourier series. If has finite power, then the mean-square value of eN is bounded by the maximum of 
.
. It is shown that if has finite energy, then the maximum of is bounded by the mean-square value of the error in the approximation of by a truncated Fourier series. If has finite power, then the mean-square value of e .Keywords :
Band-limited signals; Control systems; Digital-analog conversion; Electrical equipment industry; Error correction; Feedback; Feedforward systems; Linear systems; Quantization; Sampling methods; Upper bound;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1967.1098687
Filename :
1098687
Link To Document :
