학술논문

Fast 3D Joint Superresolution Algorithm for Millimeter Wave FMCW Radars
Document Type
Periodical
Source
IEEE Open Journal of Signal Processing IEEE Open J. Signal Process. Signal Processing, IEEE Open Journal of. 4:346-365 2023
Subject
Signal Processing and Analysis
Three-dimensional displays
Estimation
Multiple signal classification
Signal processing algorithms
Superresolution
Costs
Radar
2D direction of arrival estimation
azimuth estimation
beamspace
elevation estimation
frequency modulated continuous wave
low-complexity
mean square error
range estimation
superresolution algorithms
Language
ISSN
2644-1322
Abstract
This article formulates a novel fast three-dimensional joint superresolution algorithm for millimeter wave (mmWave) imaging. The existing three-dimensional superresolution techniques for joint estimation are inherently slow. Firstly, the size of the correlation matrix, used for the subspace-based superresolution algorithms such as MUltiple SIgnal Classification (MUSIC), increases with a dimension. This escalates the computational cost of singular value decomposition (SVD) or eigenvalue decomposition (EVD) required for the subspace estimation. Secondly, the existing approaches involve an exhaustive joint search over the entire grid of multiple dimensions. To reduce these cost complexities for the joint 3D estimation problem, we propose a two-stage imaging algorithm based on the Fourier transform and beamspace MUSIC to jointly estimate the range, azimuth, and elevation of the targets. Due to the reduced implementation complexity, the proposed algorithm becomes an attractive option for the silicon implementation of superresolution techniques. Our novel 3D imaging algorithm is explained with a detailed mathematical framework by utilizing the mmWave frequency modulated continuous wave (FMCW) radar, which is popular in the automotive industry. In addition, we derive the asymptotic analytical expressions for analyzing the statistical performance of the proposed method in terms of mean square error (MSE). The performance of the proposed approach is verified through various simulations and a real radio-frequency (RF) experiment using a 60 GHz FMCW radar.