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Opportunistic interference alignment (OIA) exploits channel randomness andmultiuser diversity by user selection. For OIA the transmitter needs channelstate information (CSI), which is usually measured on the receiver side andsent to the transmitter side via a feedback channel. Lee and Choi show that $d$degrees of freedom (DoF) per transmitter are achievable in a 3-cell MIMOinterference channel assuming perfect real-valued feedback. However, thefeedback of a real-valued variable still requires infinite rate. In this paper,we investigate 1-bit quantization for opportunistic interference alignment(OIA) in 3-cell interference channels. We prove that 1-bit feedback issufficient to achieve the optimal DoF $d$ in 3-cell MIMO interference channelsif the number of users per cell is scaled as ${\rm SNR}^{d^2}$. Importantly,the required number of users for OIA with 1-bit feedback remains the same aswith real-valued feedback. For a given system configuration, we provide anoptimal choice of the 1-bit quantizer, which captures most of the capacityprovided by a system with real-valued feedback. Using our new 1-bit feedbackscheme for OIA, we compare OIA with IA and show that OIA has a much lowercomplexity and provides a better rate in the practical operation region of acellular communication system.

On the Degrees of Freedom for Opportunistic Interference Alignment with 1-Bit Feedback: The 3 Cell Case