Influence of synchronization errors on the noise immunity of receiving multi-position M-PSK and M-QAM signals

The purpose of the work is a comparative analysis of the influence of synchronization errors, namely, the errors of the carrier phase estimation and the errors of the clock synchronization system on the noise immunity of coherent receiving of signals with multi-position phase-shift keying and quadrature amplitude modulation. Using the method of statistical radio engineering, analytical expressions are obtained that allow calculating the probabilities of a bit error with static errors in estimating the phase and clock moments. It was shown that the inaccuracy in the estimation of these parameters strongly affected the noise immunity of the coherent receiving of multi-position phase-shift keying and quadrature amplitude modulation signals; with an increase in the positioning of the signals, this effect increases, and it is more pronounced for a multi-position phase-shift keying receiver. The permissible errors in estimating the phase of the carrier and clock moments for signals of different positioning are determined.