Similarity properties for the offshoots of the Generalized Discrete Hartley Transform (GDHT)

Abstract

This paper presents new similarity properties for the offshoots of GDHT. GDHT and its offshoots are finite dimensional discrete transforms that have wide ranging and ramifying applications in Pure Mathematics and Applied Mathematical Applications such as Digital Signal Processing, Image Processing, and Communications Engineering. The similarity properties can be used for computing the time domain signal from its frequency domain expression or contra if and only if an existing GDHT (and its offshoots) pair exists. In such instances, the merits of the properties lie in the belt-tightening of computational intricacy and outlay essentially.