Hierarchical modulation technology which can make the advanced T-DMB(terrestrial-digital multimedia broadcasting) system backward compatible with the conventional T-DMB system and provide high-rate and high-quality services is introduced in this paper. As additional data streams are embedded within the conventional data streams by the hierarchical modulation, the advanced T-DMB system can provide high-quality video service and more broadcasting service channels. In order to guarantee the quality of both the conventional and additional services powerful error correcting scheme is required. The error performance of advanced T-DMB system with hierarchical modulation is investigated and analyzed according to the various error correcting schemes in this paper.