Recently, the advances in transform coding have contributed to significant bitrate saving for the next generation of video coding. In particular, the combination of different discrete trigonometric transforms (DTT’s) was adopted in the Joint Video Exploration Team (JVET) solution, as well as the Bench-Mark Set (BMS) of the future video coding standard (Versatile Video Coding), to efficiently model the residual signal statistics and to improve the overall coding efficiency. However, this combination of transforms necessitates an increase in the memory requirement as well as coding complexity, which could potentially limit their practical use. In this paper, we solve both memory and complexity issues by reducing the number of transforms, where some of the transforms are generated from other by simple mathematical operations, like sign changing and reverse ordering. The simulation results showed that this approach achieves competitive results with substantial simplification of the transform design.

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Karam Naser, Fabrice Leleannec, and Edouard Francois, "Efficient implementation of enhanced multiple transforms for video coding," Proc. SPIE 10752, Applications of Digital Image Processing XLI, 1075216 (Presented at SPIE Optical Engineering + Applications: August 22, 2018; Published: 17 September 2018); https://doi.org/10.1117/12.2501262.