the background of TCM technique proposed is first summarized and four impertant events about TCM in its developing way are reviewed. Up-to-date developments and research directions
especially the applications in land digital mobile channel with multipath fast fading interference of TCM on ErrorControl in recent communication system are given. In the same time
the hot technical problem in the researchthe criteria proposed in fading channel on non-Euclid’s metric space is discussed and analyzed. At last
some emergent problems on TCM to be solved are pointed out.