Lossless rotation transformations with periodic structure

Two-point lossless rotation transformations are used on realizing lossless DCTs or lossless orthogonal wavelet transforms. However, the two-point lossless rotation transformations based on the ladder network do not have high compatibility with their non-lossless versions. Therefore, in this paper, we propose two-point lossless rotation transformations with periodic structure and compare them with those based on the ladder network. We design corresponding tables by making use of periodic structure after supplementary rotation transformations. Since we can make the corresponding tables in consideration of compatibility with the non-lossless transformations, we can design the lossless rotation transformations that have high compatibility with them. A computer simulation shows that a lossless orthogonal wavelet transform based on the proposed method has high compatibility with its non-lossless version.