DocumentCode :
936331
Title :
Writing on dirty paper (Corresp.)
Author :
Costa, Max H M
Volume :
29
Issue :
3
fYear :
1983
fDate :
5/1/1983 12:00:00 AM
Firstpage :
439
Lastpage :
441
Abstract :
A channel with output 
is examined, The state 
and the noise 
are multivariate Gaussian random variables ( 
is the identity matrix.). The input 
satisfies the power constraint 
. If 
is unknown to both transmitter and receiver then the capacity is 
nats per channel use. However, if the state is known to the encoder, the capacity is shown to be 
, independent of 
. This is also the capacity of a standard Gaussian channel with signal-to-noise power ratio 
. Therefore, the state does not affect the capacity of the channel, even though is unknown to the receiver. It is shown that the optimal transmitter adapts its signal to the state rather than attempting to cancel it.
is examined, The state and the noise are multivariate Gaussian random variables ( is the identity matrix.). The input satisfies the power constraint . If is unknown to both transmitter and receiver then the capacity is nats per channel use. However, if the state is known to the encoder, the capacity is shown to be , independent of . This is also the capacity of a standard Gaussian channel with signal-to-noise power ratio . Therefore, the state does not affect the capacity of the channel, even though is unknown to the receiver. It is shown that the optimal transmitter adapts its signal to the state rather than attempting to cancel it.Keywords :
Error-correction coding; Binary codes; Electrons; Gaussian channels; Gaussian noise; Network address translation; Notice of Violation; Optimization methods; Random variables; Transmitters; Writing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1983.1056659
Filename :
1056659
Link To Document :
