Integral indicator of adjustment parameters estimation of adaptive antenna arrays for telecommunication networks of information systems

Abstract

Adjustment speed is one of the main operation features of adaptive antenna arrays with the steepest descent gradient algorithm in telecommunication networks of information systems. Traditionally, estimation of the transient processes involves a computer simulation of the adaptive antenna array according to the selected noise environment. Substantial time required to create a respective model, big computational load that leads to quite a long period of time for performing required mathematical operations, as well as limited possibilities of simulation results interpretations are among the main drawbacks of the traditional approach. The paper proposes an integral indicator of adjustment parameters estimation of adaptive antenna arrays optimized according to the root-mean-square criterion and that does not require performing of the time consuming computer simulation of the transient processes. Integral indicator assumes values from 1, which corresponds to the quickest adaptation process, to 0, which indicates an absence of adaptation, and is built with account of the eigenvalues distribution of the array correlation matrix, squares of direction cosines of the optimal weight vector on the eigenvalues of the antenna array correlation matrix and the trace of this matrix. Computer simulation helped to establish that the designed indicator permits to correctly predict the speed of the transient processes in adaptive antenna arrays and perform their comparative analysis for different noise environments. Additionally, computation data, which are used for obtaining this indicator, allow us to clearly explain the character of the transient processes in the adaptive antenna arrays.