Designing a system to synchronize the input signal in a telecommunication network under the condition for reducing a transitional component of the phase error

Abstract

The quality of reception, as well as the processing and demodulation of the input signal in the telecommunication systems' networks, are closely related to the quality indicators in the functioning of one of the subsystems of these networks, namely a phase synchronization system. This work has directly considered the issues related to improving the performance and reducing the transitional component of the phase error generated by transition processes in the combined synchronization system. A mathematical model has been built that makes it possible to synthesize a disrupted link in the synchronization system of a telecommunication network meeting the condition for a decrease in the transitional component of the phase error. It is shown that a simple disrupted link, synthesized under the condition of suppressing a slow-fading transition component, makes it possible to shorten the time of the transition process in the system while maintaining the initial order of astatism. When a complex link is synthesized, the transition process becomes oscillatory. It was established that under the conditions of a phase jump or a frequency jump, it is possible to improve the dynamics of the system and reduce the transitional component of the phase error variance by making the parameters for the disrupted communication link influence the roots of the characteristic equation of the transition process. The features in synthesizing disrupted communication have been considered for the intervals of movement corresponding to areas with the positive and negative inclination of the phase discriminator's static characteristic. Such conditions have been devised that make it possible to determine the value and sign of the root in the characteristic equation of the transition process, which is introduced by the parameter of a disrupted communication link separately for areas of the stable and non-steady movement of the phase discriminator's static characteristic. The reported mathematical model of disrupted link synthesis has made it possible to derive reference results. They indicated that in order to suppress the slowly fading component of the phase error characteristic equation to "0", it is necessary to provide for a significant advantage, up to 10 times, of the roots introduced by the disrupted communication link over the roots of the specified component. By changing the value for a disrupted communication parameter, one can significantly, up to 5 times or larger, shorten the time of the transition process in the combined synchronization system at a simultaneous decrease of 18‒25 % in the initial value of the transition error