TY - JOUR
T1 - State-dependent Gaussian interference channels
T2 - Can state be fully canceled?
AU - Duan, Ruchen
AU - Liang, Yingbin
AU - Shitz, Shlomo Shamai
N1 - Funding Information:
R. Duan and Y. Liang was supported in part by the National Science Foundation under Grant CCF-12-18451 and in part by the National Science Foundation CAREER Award under Grant CCF-10-26565. S. Shamai (Shitz) was supported in part by the Israel Science Foundation and in part by the S. and N. Grand Research Fund, and in part also by the European Commission within the European Seventh Framework Programme Network of Excellence in Wireless Communications.
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2016/4
Y1 - 2016/4
N2 - The state-dependent Gaussian interference channel (IC) and Z-IC are investigated, in which two receivers are corrupted by the same but differently scaled states. The state sequence is noncausally known at both transmitters, but not known at either receiver. Three interference regimes are studied, i.e., the very strong, strong, and weak regimes. In the very strong regime, the capacity region is characterized under certain channel parameters by designing a cooperative dirty paper coding between the two transmitters to fully cancel the state. In the strong regime, points on the capacity region boundary are characterized under certain channel parameters by designing an achievable scheme based on rate splitting, layered dirty paper coding, and successive state cancellation. In the weak regime, the sum capacity is obtained by independent dirty paper coding at two transmitters. For all the above regimes, the capacity achieves that of the IC/Z-IC without state. Comparison between the state-dependent regular IC and the Z-IC suggests that even with one interference-free link, the Z-IC does not necessarily perform better, because dirty paper coded interference in the regular IC facilitates to cancel the state through the cooperative dirty paper coding between the transmitters.
AB - The state-dependent Gaussian interference channel (IC) and Z-IC are investigated, in which two receivers are corrupted by the same but differently scaled states. The state sequence is noncausally known at both transmitters, but not known at either receiver. Three interference regimes are studied, i.e., the very strong, strong, and weak regimes. In the very strong regime, the capacity region is characterized under certain channel parameters by designing a cooperative dirty paper coding between the two transmitters to fully cancel the state. In the strong regime, points on the capacity region boundary are characterized under certain channel parameters by designing an achievable scheme based on rate splitting, layered dirty paper coding, and successive state cancellation. In the weak regime, the sum capacity is obtained by independent dirty paper coding at two transmitters. For all the above regimes, the capacity achieves that of the IC/Z-IC without state. Comparison between the state-dependent regular IC and the Z-IC suggests that even with one interference-free link, the Z-IC does not necessarily perform better, because dirty paper coded interference in the regular IC facilitates to cancel the state through the cooperative dirty paper coding between the transmitters.
KW - Capacity region
KW - Gel-fand-Pinsker scheme
KW - Z-interference channel
KW - channel state
KW - dirty paper coding
KW - interference channel
KW - noncausal state information
UR - http://www.scopus.com/inward/record.url?scp=84963830974&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84963830974&partnerID=8YFLogxK
U2 - 10.1109/TIT.2016.2530665
DO - 10.1109/TIT.2016.2530665
M3 - Article
AN - SCOPUS:84963830974
SN - 0018-9448
VL - 62
SP - 1957
EP - 1970
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 4
M1 - 7407395
ER -