Title
On capacity of the dirty paper channel with fading dirt in the strong fading regime
Abstract
The classic “writing on dirty paper” capacity result establishes that full state pre-cancellation can be attained in Gelfand-Pinsker problem with additive state and additive white Gaussian noise. This result holds under the assumption that both the transmitter and the receiver have perfect knowledge of the channel. We are interested in characterizing capacity under the more realistic assumption that only partial channel knowledge is available at the transmitter. To this end we study the “dirty paper channel with slow fading dirt”, a variation of the dirty paper channel in which the state sequence is multiplied by a slow fading value known only at the receiver. For this model we establish two approximate characterizations of capacity, one for the case in which fading takes only two values and one for the case in which fading takes M possible values but these values are greatly spaced apart. For both results, a naive strategy in which the encoder pre-codes against different fading realizations in different time slots is sufficient to approach capacity.
Year
DOI
Venue
2014
10.1109/ITW.2014.6970894
Information Theory Workshop
Keywords
Field
DocType
AWGN,channel capacity,fading channels,Gelfand-Pinsker problem,additive state,additive white Gaussian noise,dirty paper channel capacity,full state precancellation,slow fading dirt,slow fading value,strong fading regime,writing on dirty paper capacity,Channel with state,Gelfand-Pinsker problem,Imperfect channel side information,Writing on fading dirt
Fading,Computer science,Communication channel,Dirty paper,Theoretical computer science,Dirt,Electrical engineering
Conference
Volume
ISSN
Citations 
abs/1405.2221
1662-9019
3
PageRank 
References 
Authors
0.47
5
2
Name
Order
Citations
PageRank
Stefano Rini113421.92
Shlomo Shamai24531410.89