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Calculating surface current distribution in antenna array in the presence of mutual coupling by analytical solving of Pocklington’s integral equation

Parhizgar N.

Archives of Electrical Engineering

2018

Vol. 67, nr 1

65--79

In this article, the current distribution of an antenna array in the presence of mutual coupling is calculated analytically by solving Pocklington’s integral equation. Blockpulse and Galerkin’s functions are used for numerical solving of Pocklington’s integral equation. In this work, the surface current distribution can be achieved for an antenna array in receiving mode, with any arbitrary structure and various numbers of elements. In all previous works, the authors have been tried to solve Pocklington’s integral equation for a single half dipole antenna in transmitting mode. Pocklington’s equation is somehow difficult to work with because of the singularity and existence of a sharp peak for a small value of wire’s radius. In order to calculate surface current distribution, for thin wires, singularity part is extracted from the kernel in aforementioned integral. Hence, the kernel is decomposed into singular and nonsingular parts. An inter-element mutual coupling effect between array elements and self-coupling for each element are assumed in this case. The validity of the proposed methodology is tested by numerical simulation results. The accuracy of the proposed method is evaluated by the multiple signal classification (MUSIC) algorithm for different scenarios to direction of arrival (DOA) estimation.

A new mutual coupling compensation method for receiving antenna array-based DOA estimation

Parhizgar N.

Archives of Electrical Engineering

2018

Vol. 67, nr 2

419–-431

Most receiving antenna arrays suffer from the mutual coupling problem between antenna elements, which can critically influence the performance of the array. In this work, a novel and accurate form of compensation matrix is applied to compensate the mutual coupling in a uniform linear array (ULA). This is achieved by applying a new method based on solving a boundary value problem for the whole ULA. In this method, both self and mutual impedances are exploited in an accurate characterization of mutual impedance matrix which results in a perfect mutual coupling compensation method, and hence a very accurate direction of arrival (DOA) estimation. In the new scheme, the compensation matrix is obtained by using the relationship between measured voltage and theoretical coupled voltage based on the MOM. Numerical results show that using DOA estimation algorithms to the decoupled voltage obtained by using this method leads to an excellent performance of DOA estimation with higher accuracy and resolution.