Digital Precoding Design for MIMO System with One-Bit ADC Receivers

Abstract

When wireless communication transmits in the bandwidth of gigahertz, radio-frequency (RF) chains and high-resolution analog-to-digital converters (ADCs) increasingly bring burdens to energy consumption. To solve this problem, promising techniques are to use low-resolution ADCs and hybrid precoding architectures. In this work, we combine these solutions for reducing the power cost more efficiently in the multi-input and multi-output (MIMO) system. The aim is designing the optimal digital precoder, whose objective is to increase the achievable rate. For this purpose, the expression for the achievable rate according to Bussgang theorem in flat-fading channels was first derived. To obtain the optimal digital precoder, we solve the optimal digital precoding matrix form using singular value decomposition (SVD) method. We then transfer the digital precoding matrix design problem into optimization problem according to power allocation, whose optimal closed-form solution can be found with the usage of Karush–Kuhn–Tucker (KKT) conditions. Our simulation results reveal that this proposed algorithm increases the achievable rates of the system effectively.