ESPRIT-Oriented Precoder Design for mmWave Channel Estimation

TL;DR

This paper proposes a novel ESPRIT-oriented precoder design for mmWave channel estimation that jointly optimizes precoding and shift invariance properties, improving AoD estimation accuracy in beamspace MIMO systems.

Contribution

It introduces an alternating optimization method to design precoders that preserve ESPRIT's shift invariance, addressing limitations of standard precoders in AoD estimation.

Findings

Proposed precoders outperform traditional beamforming in AoD estimation accuracy.

The approach maintains ESPRIT's shift invariance property.

Simulation results validate the effectiveness of the designed precoders.

Abstract

We consider the problem of ESPRIT-oriented precoder design for beamspace angle-of-departure (AoD) estimation in downlink mmWave multiple-input single-output communications. Standard precoders (i.e., directional/sum beams) yield poor performance in AoD estimation, while Cramer-Rao bound-optimized precoders undermine the so-called shift invariance property (SIP) of ESPRIT. To tackle this issue, the problem of designing ESPRIT-oriented precoders is formulated to jointly optimize over the precoding matrix and the SIP-restoring matrix of ESPRIT. We develop an alternating optimization approach that updates these two matrices under unit-modulus constraints for analog beamforming architectures. Simulation results demonstrate the validity of the proposed approach while providing valuable insights on the beampatterns of the ESPRIT-oriented precoders.