Abstract-The rate maximization for the K-user interference channels (ICs) has been investigated extensively in the literature. However, the practical problem of minimizing the error probability with given signal modulations and/or data rates of the users is less studied. In this paper, by utilizing additional degrees of freedom from the improper signaling (versus the conventional proper signaling), we seek to optimize the precoding matrices for the K-user single-input single-output (SISO) ICs to minimize pairwise error probability (PEP) and symbol error rate (SER) with two proposed algorithms, respectively. Compared with conventional proper signaling and other state-of-the-art improper signaling designs, our proposed improper signaling schemes achieve notable error rate improvement in SISO-ICs under both the additive white Gaussian noise (AWGN) and cellular system setups with or without channel coding. Our study provides another viewpoint for optimizing transmissions in ICs and further justifies the practical benefit of improper signaling in interference-limited communication systems. Index Terms-Interference channels, improper signaling, precoder design, symbol error rate, pair-wise error probability.
The paper REF showed that IGS can reduce the symbol error rate of the K-user IC.
Improper Signaling for Symbol Error Rate Minimization in $K$-User Interference Channel
IEEE Transactions on Communications
IEEE Transactions on Communications
Mathematics Computer Science