The term "trajectory tiling" means that trajectories from a statistical model (HMMs in this case) are not input to a vocoder, but are "covered over" or "tiled" with waveform fragments.
Y. Qian, F. K. Soong and Z. J. Yan “A Unified Trajectory Tiling Approach to High Quality Speech Rendering” IEEE Trans. Audio, Speech, and Language Proc. 21 (2), pp. 280-290, 2013. DOI:10.1109/TASL.2012.2221460
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