Modular arithmetic application to calculate the azimuth for phase direction finder

Abstract

Introduction. Phase finders are designed for precise determination of the radiation source angular position. In such systems, an important task is to avoid the ambiguity measuring the signalphase shift exceeding . A new way to solve the problem associated with the use of residue number system (RNS) is proposed. Problem statement. Defined azimuth of radiation source fluctuations relative to the two bases linear receiving antenna. It is necessary to define the conditions under which the problem of estimating the azimuth based on the measurement of signals phase shifts between antenna elements is reduced to the recovery of a whole number from its RNS residues. Theoretical results. The possibility of RNS using for phaze multiscale systems based on common property - the modular nature both numerical data RNS representations and phase measurements. It is shown that to bring the azimuth determining problem to the problem of reconstructing the whole number from its RNS residues for two bases finder is necessary: firstly, to select the modules RNS as a pair of relatively prime numbers; secondly, to select the antenna base proportional RNS modules; thirdly, to select the quanta of measuring the phase shift signal is inversely proportional to the value of the RNS modules: An example of calculating the azimuth of the direction finder for the phase two bases, which confirms the correctness of the proposed method. Conclusion. The possibility of using RNS phase direction finder is implemented by selecting an antenna base and phase shift quantum measurement proportional to the RNS modules. In this case, the process of eliminating ambiguity measurement acquiring a new quality – the ability to identify and correct azimuth blunders. A new data processing algorithm and it's new property can significantly reduce the probability of serious errors in the phase finders.