Mutual coupling self-calibration algorithm for 8-shaped double circular array

Abstract

Based on 8-shaped double circle circular array, a self-calibration algorithm is proposed in this paper for 2D angle estimation and calibration of mutual coupling coefficients. Through the analysis of array structure, the entire array is divided into two sub arrays. By observing the characteristics of mutual coupling matrix in each sub array and between two sub arrays, a reasonable reconstruction matrix is constructed, in order to realize the decoupling of the angle information and mutual coupling coefficient. First, the principle of rank loss is used to estimate the angle information, and then the mutual coupling coefficient is estimated by the estimated angle information. The high-dimensional search is not required in the whole process, so the amount of calculation is reduced. In addition, the algorithm does not require additional auxiliary correction source, hence, it is very simple to implement. Theoretical analysis and simulation results show that the proposed algorithm can solve the mutual coupling problem of 8-shaped double circle circular array reliably and effectively.