DocumentCode :
943112
Title :
A note on the Shannon capacity of run-length-limited codes (Corresp.)
Author :
Ashley, Jonathan J. ; Siegel, Paul H.
Volume :
33
Issue :
4
fYear :
1987
fDate :
7/1/1987 12:00:00 AM
Firstpage :
601
Lastpage :
605
Abstract :
It is proven that 100-percent efficient fixed-rate codes for run-length-limited (RLL) 
and RLL charge-constrained 
channels are possible in only two eases, namely 
and 
. Specifically, the binary Shannon capacity of RLL 
constrained systems is shown to be irrational for all values of 
. For RLL charge-constrained systems with parameters 
, the binary capacity is irrational for all values of 
, except 
and , which both have binary capacity 
.
and RLL charge-constrained channels are possible in only two eases, namely and . Specifically, the binary Shannon capacity of RLL constrained systems is shown to be irrational for all values of . For RLL charge-constrained systems with parameters , the binary capacity is irrational for all values of , except and , which both have binary capacity .Keywords :
Run-length coding; Econometrics; Economic forecasting; Entropy; Feedback; Marketing and sales; Mathematics; Optical recording; Polynomials; Power generation economics; Time measurement;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1987.1057326
Filename :
1057326
Link To Document :
