A Fast Method for Multidimensional Joint Parameter Estimation of Polarization-Sensitive Arrays
Author:
Zhang Zheqi1,
Lan Xiang1ORCID,
Wang Xianpeng1ORCID
Affiliation:
1. School of Information and Communication Engineering, Hainan University, Haikou 570228, China
Abstract
The paper proposes a fast method for the multidimensional parameter estimation of a polarization-sensitive array. Compared with conventional methods (e.g., MUSIC algorithm), the proposed method applies an iterative approach based on Newton’s method to obtain joint estimation results instead of a spectral search and dimension reduction. It also extends the original Newton method to the 4D scale using the Hessian matrix. To reduce the complexity of establishing the aim function, Nystrom’s method is applied to process the covariance matrix. A new threshold is also proposed to select the results, which can accomplish the parameter estimation with a small number of iterations while guaranteeing a high estimation accuracy. Finally, the proposed algorithm is analyzed in detail and the numerical simulations of various algorithms are compared to verify its effectiveness.
Funder
Nature Science Foundation of Hainan Province
National Nature Science Foundation of China Youth Science and Fund Project
General Science Project of Hainan Provincial College and University
National Natural Science Foundation of China
Subject
Electrical and Electronic Engineering,Biochemistry,Instrumentation,Atomic and Molecular Physics, and Optics,Analytical Chemistry