Abstract

In this paper we describe the formulation of a novel transform called Set Theoretic Rajan Transform STRT which is an extension of Rajan Transform RT RT is a coding morphism by which a number sequence integer rational real or complex of length equal to any power of two is transformed into a highly correlated number sequence of same length STRT was introduced by G Sathya In STRT RT is applied to a sequence of sets instead of sequences of numbers Here the union U is analogous to addition operation and symmetric difference is analogous to subtraction - This transform satisfies some interesting set theoretic properties like Cyclic Shift Invariance Dyadic Shift invariance Graphical Inverse Invariance This paper explains in detail about STRT and all of its set theoretic properties