Title :
A Discrete Tchebichef Transform Approximation for Image and Video Coding
Author :
Oliveira, Paulo A. M. ; Cintra, Renato J. ; Bayer, FaÌbio M. ; Kulasekera, Sunera ; Madanayake, Arjuna
Author_Institution :
Dept. de Estatistica, Univ. Fed. de Pernambuco, Recife, Brazil
Abstract :
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.
Keywords :
approximation theory; discrete transforms; field programmable gate arrays; inverse transforms; numerical analysis; video coding; DTT; Xilinx Virtex-6 FPGA; bit-shifting operations; discrete Tchebichef transform approximation; dynamic power consumption; forward transforms; image coding; inverse transforms; numerical compression simulations; video coding; Approximation algorithms; Approximation methods; Complexity theory; Discrete cosine transforms; Image coding; Signal processing algorithms; Approximate DTT; fast algorithms; image and video coding;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2015.2389899