# A Discrete Tchebichef Transform Approximation for Image and Video Coding

arXiv: https://arxiv.org/abs/1502.00555 · HTML: https://mlsanity.com/paper/1502.00555/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 28 Jan 2015.

## Built on by (most cited first, 2 of 2)

- [Low-complexity Approximate Convolutional Neural Networks](https://mlsanity.com/paper/2208.00087/) (2022)
- [Fast Data-independent KLT Approximations Based on Integer Functions](https://mlsanity.com/paper/2410.09227/) (2024)

## Abstract (arXiv)

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.