Picosecond optical guiding-center solitons of the first order, inherent in the complex cubic Ginzburg-Landau systems, are considered as the sync-signal carriers, being attractive for transmission through optical fiber network. We analyze the model, described by the complex cubic Ginzburg-Landau equation in a reduced form, and present approximate analytical descriptions for the evolution of the main parameters of both guiding-center solitons and fundamental solitons adiabatically perturbed by low losses in optical fiber. Then, these two kinds of soliton-like pulses, being potentially suitable to be the sync-signal carriers in a fiber network, are compared with each other. This suggests a conclusion that guiding-center solitons have considerable advantages in applying as sync-signal carriers from the viewpoints ofenergy consumption and ease of implementation.