A new algorithm to compute forward and inverse 2-D UMRT for N — A power of 2

Abstract

MRT (Mapped Real Transform) is an evolving transform that helps in frequency domain analysis of 2-dimensional signals without any complex operations but in terms of real additions alone. The MRT mapping is highly redundant. A compact unique MRT (UMRT) representation can be derived by eliminating the redundant elements present in the MRT representation. A new approach is presented to compute and place the UMRT coefficients directly from the data, without computing MRT. A new algorithm for computing inverse UMRT is also proposed.