Doubly-Toeplitz-Based Interpolation for Joint DoA-Range Estimation Using Coprime FDA
Ruisong Cao, Shengheng Liu, Zihuan Mao, Yongming Huang · 2021
The concept of coprime frequency diverse array (FDA) has attracted much attention in the recent years. For it reaps the benefits of coprime sampling and frequency diversity, improved degrees-of-freedom (DoF) and spatial resolution can be achieved. However, existing works adopt on-grid methods in the joint direction-of-arrival (DoA)-range estimation and, thus, a compromise between the off-grid error and the computational cost is needed. In this paper, a doubly-Toeplitz-based estimation algorithm is proposed to achieve the coarray interpolation and off-grid estimation for coprime FDA. A positive semi-definite optimization problem is formulated based on atomic-norm minimization, and the joint DoA-range estimation can be achieved by applying well-established subspace-based spectral estimation algorithm to the optimized covariance matrix. The effectiveness of proposed method is validated by numerical simulations.