Abstract
(5, 3) reversible filter adopted in JPEG 2000 is calculated by using reversible lifting-based filtering. In this paper, it is shown that reversible lifting-based filtering can be replaced with real number operation and compensation calculation. By applying above method to lossless 4 points Walsh Hadamard transform, this transform is also replaced with real number operation and compensation calculation in the same way. As a result of studying characteristic of the compensation calculation, optimized lossless Walsh Hadamard transform can be constructed. We propose new lossless 2D-DCT which use this transform. It is shown that error of the proposed transform is less than that of conventional method.
