Signal Tensor Model and Eigenvalue Distributions for THz Uplink UM-MIMO Communications | IEEE Conference Publication | IEEE Xplore

Signal Tensor Model and Eigenvalue Distributions for THz Uplink UM-MIMO Communications

Publisher: IEEE

Abstract:

Tensor theory has been widely used in the research field of wireless communications. Tensor eigenvalues are usually considered key parameters of tensors. However, the exa...View more

Abstract:

Tensor theory has been widely used in the research field of wireless communications. Tensor eigenvalues are usually considered key parameters of tensors. However, the exact physical or practical meanings of tensor eigenvalues in wireless communications are still unknown. In this paper, we investigate the distributions of tensor eigenvalues for Terahertz (THz) ultra-massive multiple-input multiple-output (UM-MIMO) orthogonal frequency division multiplexing (OFDM) systems, in which the channel modeling problem using hybrid beamforming (HBF) is studied, aiming to study the properties of tensor eigenvalues in communication systems. The OFDM pilot is sent by the mobile station (MS) through a precoder with random phases. The received signal at the base station (BS) can be reassembled into a fifth-order tensor that follows CANDECOMP/PARAFAC decomposition (CPD) to represent channel information. The homotopy method is used to calculate all eigenvalues of signal tensors efficiently and accurately. The numerical results show that the non-zero eigenvalues of received signal tensors are distributed sparsely, and the eigenvalue of each tensor is a unique value.
Date of Conference: 02-04 November 2023
Date Added to IEEE Xplore: 02 February 2024
ISBN Information:
Publisher: IEEE
Conference Location: Hangzhou, China

Funding Agency:


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