A Discrete Tchebichef Transform Approximation for Image and Video Coding

TL;DR

This paper presents a low-complexity, multiplication-free approximation of the discrete Tchebichef transform that enhances image and video coding efficiency while reducing power consumption and hardware area.

Contribution

It introduces a novel approximation of the DTT that is multiplication-free and optimized for hardware implementation, improving efficiency over existing methods.

Findings

Reduces dynamic power consumption by 44.9%.

Lowers hardware area by 64.7%.

Maintains effective image and video compression performance.

Abstract

In this paper, 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.