Development of order-16 integer transforms

Abstract This paper considers the generation of integer transforms based on the principle of dyadic symmetry. A set of new order-16 integer transforms is found and the kernel components of the new integer transforms can be represented by one-byte integers. Among the 119 new integer transforms obtained, 12 of them have better performance, in terms of transform efficiency, than the order-16 integer cosine transforms and other well-known transforms like the slant transform and the Walsh transform. They also have similar transform efficiency and basis restriction mean-square-error compared to the discrete cosine transform (DCT).