TY - JOUR
T1 - Two-User SIMO Interference Channel with Treating Interference as Noise
T2 - Improper Signaling Versus Time-Sharing
AU - Hellings, Christoph
AU - Askerbeyli, Ferhad
AU - Utschick, Wolfgang
N1 - Publisher Copyright:
© 1991-2012 IEEE.
PY - 2020
Y1 - 2020
N2 - In the two-user Gaussian interference channel with Gaussian inputs and treating interference as noise (TIN), improper complex signals can be beneficial if time-sharing is not allowed or if only the data rates are averaged over several transmit strategies (convex hull formulation). On the other hand, proper (circularly symmetric) signals have recently been shown to be optimal if coded time-sharing is considered, i.e., if both the data rates and the transmit powers are averaged. In this paper, we show that both conclusions remain the same if single-input multiple-output (SIMO) systems with multiple antennas at the receivers are considered. The proof for the case with coded time-sharing is via a novel enhanced channel concept for the two-user SIMO interference channel, which turns out to deliver a tight outer bound to the TIN rate region with coded time-sharing. The result for the case without coded time-sharing is demonstrated by studying specific examples in which a newly proposed composite real gradient-projection method for improper signaling can outperform the globally optimal proper signaling strategy. In addition, we discuss how the achievable TIN rate region with coded time-sharing can be computed numerically.
AB - In the two-user Gaussian interference channel with Gaussian inputs and treating interference as noise (TIN), improper complex signals can be beneficial if time-sharing is not allowed or if only the data rates are averaged over several transmit strategies (convex hull formulation). On the other hand, proper (circularly symmetric) signals have recently been shown to be optimal if coded time-sharing is considered, i.e., if both the data rates and the transmit powers are averaged. In this paper, we show that both conclusions remain the same if single-input multiple-output (SIMO) systems with multiple antennas at the receivers are considered. The proof for the case with coded time-sharing is via a novel enhanced channel concept for the two-user SIMO interference channel, which turns out to deliver a tight outer bound to the TIN rate region with coded time-sharing. The result for the case without coded time-sharing is demonstrated by studying specific examples in which a newly proposed composite real gradient-projection method for improper signaling can outperform the globally optimal proper signaling strategy. In addition, we discuss how the achievable TIN rate region with coded time-sharing can be computed numerically.
KW - Improper signaling
KW - interference channel
KW - rate region
KW - single-input/multiple-output (SIMO)
KW - time-sharing
KW - treat interference as noise
UR - http://www.scopus.com/inward/record.url?scp=85097333668&partnerID=8YFLogxK
U2 - 10.1109/TSP.2020.3027903
DO - 10.1109/TSP.2020.3027903
M3 - Article
AN - SCOPUS:85097333668
SN - 1053-587X
VL - 68
SP - 6467
EP - 6480
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
M1 - 9210034
ER -