Design of Block Lifting-Based Discrete Cosine Transform Type-II and IV

This paper presents a novel lifting factorization of discrete cosine transform type-II and IV (DCT-II and IV). Although some conventional integer DCT-IIs (IntDCT-IIs) with block size 8 have been proposed, they are not generalized as arbitrary block size M. Using block lifting factorization which has an efficient structure for lossless-to-lossy image coding, we present IntDCT-IIs and IVs with arbitrary block size M that is called block lifting-based DCT-IIs and IVs (BLDCT-IIs and IVs). Finally, the validity of our method is proved by showing the results of lossless-to-lossy image coding in the most general case of the block size 8 and the extended size 16.