Nuclear Atomic Norm for parametric estimation of sparse channels

TL;DR

This paper introduces a gridless atomic norm method for efficient parametric estimation of sparse mmWave channels, enabling accurate identification of propagation parameters like AoD and AoA.

Contribution

It proposes a novel atomic norm approach for multidimensional spectral estimation in channel modeling, addressing limitations of existing grid-based methods.

Findings

Effective recovery conditions depend on measurement matrix properties.

Method outperforms several state-of-the-art approaches.

Applicable to complex antenna geometries and scatterer scenarios.

Abstract

Parametric channel estimation in mmWave not only enables the anticipated large spectral efficiency gains of \acs{MIMO} systems but also reveals important propagation parameters, allowing for a low complexity representation of the channel matrix. In this work, we propose to use atomic norm as a gridless multidimensional spectral estimation approach to address parametric channel estimation where both AoD and AoA are identified. The conditions for recovery of the propagation parameters are given depending on properties of the measurement matrix, and on structural features such as the antenna geometry or the number of scatters to resolve. The proposed methodology is compared against several state-of-the-art parametric approaches.