Joint Blind Calibration of Unknown Gain and Mutual Coupling Errors for MWC System

With the rapid increase in signal frequency and bandwidth faced by communication and radar systems, compressive sampling systems have received attention. However, these systems face many nonideal situations. The calibration of gain errors is critical and more difficult in the presence of mutual coupling. Therefore, in this article, we focus on the joint blind calibration of modulated wideband converter (MWC) systems with the unknown gain and mutual coupling. Differing from previous studies on array blind calibration, a novel joint blind calibration method for compressed sampling systems that does not depend on Vandermonde matrix properties of array manifolds is proposed. We model this calibration process as a multilinear inverse problem. By transforming the multilinear inverse problem into a linear inverse problem, a general joint blind calibration algorithm for compressed sampling systems is proposed. For the MWC system, we propose an optimized algorithm to meet the identifiability of joint blind calibration and improve the algorithm performance by using the sparse multiband signal characteristics. Simulation experiments and hardware prototype experiments verify our approach.