Evolutoin of algorithms for separation of optimal two mutually unorthogonal signals of binary phase modulation

Abstract

A review of the results of the development of the methodology for the synthesis of the separation-demodulation algorithms of two mutually non-orthogonal binary phase modulation signals in the length of the information clock interval, synchronous and asynchronous according to the clock points, with continuous and intermittent radiation. The evolution of algorithms for optimal separation of two mutually non-orthogonal signals of binary phase modulation has the following sequence: signals are mutually synchronous by clock points (communication channel – with constant parameters, non-seeding oscillations are represented by functions integrated with the square; the signals are mutually synchronous in clock points, the second interfering signal is intermittent; signals are mutually asynchronous in clock points; the signals are mutually asynchronous in clock points, the second interfering signal is intermittent; signals are mutually synchronous in clock points, both signals are discontinuous. At the same time, the minimum probability of an error in the estimation of the discrete information parameter of the first (useful) signal was assumed as the optimality criterion. The results of a comparative review of algorithms for the separation of two mutually non-orthogonal binary FM signals demonstrate their evolutionary nature. The identified main regularities make it possible to obtain descriptions of signal separation procedures with mismatched clock frequencies without performing intermediate signal processing procedures. The gradual process of complicating synthesis tasks led to the discovery of gradual regularities in the structures of the separation-demodulation algorithms of two binary FM signals, which provides an opportunity to formulate directions for further research, which should be based on the provisions of the theory of multi-user detection. Namely, the revealed regularities are the basis for conducting further research in order to solve similar problems with the gradual further complication of the initial conditions. Priority consideration in the future will be given to tasks that have theoretical interest and practical value: when both signals are characterized by non-stationary intermittent emission modes and are asynchronous in clock points; when they are characterized by packet transmission mode; when band-efficient types of modulation are used (MSK, GMSK – first of all).