In order to deal with the problems occurring in the transmission process of wide-area signals in communication system such as timedelay, dataloss and the signals noise of sampling process, this paper establishes a prediction compensation model based on grey Verhulst. Combined with the Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) algorithm, a wide-area signal prediction compensation method is proposed. The method firstly conducts denoising to the input signals by CEEMDAN method and derives the input signals of the unified time label controller based on the forecasting of multiple wide-area signals by grey Verhulst prediction method. Finally, the four-machine two-area (2A4M) Kundur system considering impacts of communication system is simulated on the OPNET-Matlab simulation platform to validate the feasibility of the proposed method with three different communication cases. The test results reveal that the proposed prediction method is noise-tolerant and can conduct forecasting and compensation for wide-area signals containing timedelay and dataloss which provides a novel method for applications of wide-area damping controller. This work is supported by National Key Research and Development Program of China (No. 2016YFB0900602), National Natural Science Foundation of China (No. 51277029), and Science and Technology Project of the Headquarter of State Grid Corporation of China (No. SGTYHT/17-JS-199).