Low‐complexity signal detection for large‐scale MIMO systems with second‐order Richardson method

Abstract

Linear minimum mean‐square error (MMSE) detection achieves near‐optimal performance in large‐scale multiple‐input multiple‐output (LS‐MIMO) systems but entails high computational complexity due to large matrix inversion operations. In this Letter, a novel computationally efficient algorithm based on second‐order Richardson method is proposed to solve the LS‐MIMO detection problem. While no a priori information for the first iteration of the second‐order Richardson method is available, the conjugate gradient scheme is exploited that greatly reduces the number of iterations to achieve the desired performance. Moreover, the eigenvalue‐based acceleration parameters are proposed to further accelerate the convergence rate. Numerical results demonstrate that the proposed detector outperforms the existing methods and approaches the performance of MMSE with a small number of iterations.