Design of phase-locked loop for communication system via on-board signal processing satellites

The energy inconsistency for a multiple access system via an active satellite with simple repeating of signals is claimed. The on-board ideal signal processing algorithm resolving this inconsistency is considered and the optimal group signal processing algorithm in a manner of digital signals shape transformation followed by their time compression is suggested. The necessity for individual clock synchronization of ground stations is shown and the synchronous multiple access system block diagram with an optimal on-board signal processing is discussed.A phase disturbance dynamics of a two-loops clock synchronization system with variable time delay is investigated. A nonlinear differential-difference equation is obtained and for the first order PLL with time delay the exact solutions are found in cases of relay and linear shapes phase discriminator's characteristics. Phase errors' expressions are derived and the main factors of accuracy limiting caused by PLL's feedback time delay are established.