A Channel Sensing Method with Partial Hologram for Holographic Interference Surfaces

In this paper, we propose a new communication architecture named Holographic Interference Surface (HIS), which has the advantages of reduced hardware cost and simplified architecture compared with traditional multiple input multiple output (MIMO). We elaborately clarify the working mechanism of the holographic interference principle in wireless communications. We analyze the special noise of channel estimation by holograms and prove its distributions. The Truncated Singular Value Decomposition (Truncated SVD) is exploited to suppress the hologram noise. We analyze the performance of this denoising method and prove that it asymptotically achieves error-free estimation. In order to further reduce the hardware cost, we proposed the Dynamic Adjusted Optimization Objective-Alternating Direction Method of Multipliers (DAO-ADMM) to realize channel estimation under partial hologram sampling. We prove the convergence of the proposed method. Simulation results demonstrate the performance gain over existing methods.