TY - JOUR

T1 - On Capacity of the Writing onto Fast Fading Dirt Channel

AU - Rini, Stefano

AU - Shamai Shitz, Shlomo

N1 - Publisher Copyright:
© 2002-2012 IEEE.

PY - 2018/11

Y1 - 2018/11

N2 - The Writing onto Fast Fading Dirt (WFFD) channel is investigated to study the effect of partial channel knowledge on the performance of interference pre-cancellation. The WFFD channel is the Gel'fand-Pinsker channel in which the channel output is the sum of the channel input, white Gaussian noise, and a fading-times-state term. The fading-times-state term is obtained as the product of the channel state sequence, known only at the transmitter, and a fast fading process, known only at the receiver. We consider the case of Gaussian-distributed channel states and derive an approximate characterization of capacity for different classes of fading distributions, both continuous and discrete. In particular, we prove that if the fading distribution concentrates in a sufficiently small interval, then capacity is approximately equal to the AWGN capacity times the probability of such interval. We also show that there exists a class of fading distributions for which having the transmitter treat the fading-times-state term as additional noise closely approaches capacity.

AB - The Writing onto Fast Fading Dirt (WFFD) channel is investigated to study the effect of partial channel knowledge on the performance of interference pre-cancellation. The WFFD channel is the Gel'fand-Pinsker channel in which the channel output is the sum of the channel input, white Gaussian noise, and a fading-times-state term. The fading-times-state term is obtained as the product of the channel state sequence, known only at the transmitter, and a fast fading process, known only at the receiver. We consider the case of Gaussian-distributed channel states and derive an approximate characterization of capacity for different classes of fading distributions, both continuous and discrete. In particular, we prove that if the fading distribution concentrates in a sufficiently small interval, then capacity is approximately equal to the AWGN capacity times the probability of such interval. We also show that there exists a class of fading distributions for which having the transmitter treat the fading-times-state term as additional noise closely approaches capacity.

KW - Costa pre-coding

KW - Gel'fand-Pinsker channel

KW - fast fading

KW - interference pre-cancellation

KW - partial channel side information

KW - writing on fading dirt channel

UR - http://www.scopus.com/inward/record.url?scp=85054241710&partnerID=8YFLogxK

U2 - 10.1109/TWC.2018.2866841

DO - 10.1109/TWC.2018.2866841

M3 - Article

AN - SCOPUS:85054241710

SN - 1536-1276

VL - 17

SP - 7411

EP - 7424

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

IS - 11

M1 - 8470253

ER -