Hybrid Precoding For Millimeter Wave MIMO Systems: A Matrix Factorization Approach

Abstract

This paper investigates the hybrid precoding design for millimeter wave (mmWave) multiple-input multiple-output (MIMO) systems with finite-alphabet inputs. The precoding problem is a joint optimization of analog and digital precoders, and we treat it as a matrix factorization problem with power and constant modulus constraints. Our work presents three main contributions: First, we present a sufficient condition and a necessary condition for hybrid precoding schemes to realize unconstrained optimal precoders exactly when the number of data streams Ns satisfies Ns = minfrank(H);Nrfg, where H represents the channel matrix and Nrf is the number of radio frequency (RF) chains. Second, we show that the coupled power constraint in our matrix factorization problem can be removed without loss of optimality. Third, we propose a Broyden-Fletcher-Goldfarb-Shanno (BFGS)-based algorithm to solve our matrix factorization problem using gradient and Hessian information. Several numerical results are provided to show that our proposed algorithm outperforms existing hybrid precoding algorithms.

arXiv commentTWC

References in corpus (6)

• Spatially Sparse Precoding in Millimeter Wave MIMO Systems
• Alternating Minimization Algorithms for Hybrid Precoding in Millimeter Wave MIMO Systems
• Hybrid Digital and Analog Beamforming Design for Large-Scale Antenna Arrays
• Beamforming Tradeoffs for Initial UE Discovery in Millimeter-Wave MIMO Systems
• A Generic Approach for Escaping Saddle points
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• Energy-Efficient Hybrid Precoding for Massive MIMO mmWave Systems With a Fully-Adaptive-Connected Structure
• Channel-Statistics-Based Hybrid Precoding for Millimeter-Wave MIMO Systems With Dynamic Subarrays
• Quartic Perturbation-based Outage-constrained Robust Design in Two-hop One-way Relay Networks