Algorithms for Multiple Signals Adaptive Processing in Radio Engineering Systems Antenna Arrays

Tasks of adaptive algorithms synthesis in antenna arrays for the individual and group adaptive signal processing implementation to improve the quality of multiple signals reception in radio engineering systems are considered. A mathematical description of the procedures for individual and group adaptive signal processing is given, as well as formulas for calculating the optimal weight vector that provides the best approximation of the input signal to the desired signal. Approximate methods of optimal signal processing based on iterative algorithms in the form of Widrow gradient adaptation algorithms are considered. The modeling of gradient algorithms in the MATLAB environment has been carried out. Based on the simulation results, an analysis of the gradient algorithms sensitivity for changes in initial conditions, such as the convergence step of the algorithm, the number of antenna array elements, and SNR was carried out. The optimal values of the convergence step have been obtained based on the analysis of the algorithm's sensitivity and the convergence rate of the algorithms. In conclusion, an example of an antenna array radiation pattern, which provides adaptive signal processing, taking into account the optimal parameters of the system, is given.