A Discrete Tchebichef Transform Approximation for Image and Video Coding

Paulo A. M. Oliveira, Renato J. Cintra, Fábio M. Bayer, Sunera Kulasekera, Arjuna Madanayake · IEEE Signal Processing Letters · 2015

In this letter, we introduce a low-complexity approximation for the discrete Tchebichef transform (DTT). The proposed forward and inverse transforms are multiplication-free and require a reduced number of additions and bit-shifting operations. Numerical compression simulations demonstrate the efficiency of the proposed transform for image and video coding. Furthermore, Xilinx Virtex-6 FPGA based hardware realization shows 44.9% reduction in dynamic power consumption and 64.7% lower area when compared to the literature.

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