Family of fast transforms for mixed arithmetic logic

The concept of Mixed Arithmetic Logic and Expansions is introduced in this paper. The recursive ways of generating Forward and Inverse Fast Transforms for Mixed Arithmetic Logic are presented. The paper describes basic properties and lists those Mixed Arithmetic Transforms which have convenient fast forward algorithms and easily defined inverse transforms. Finally, the computational advantages and usefulness of new expansions based on Mixed Arithmetic Logic in comparison to known Arithmetic expansions are illustrated on some examples