Identification and exploitation of symmetries in DSP algorithms

Abstract

In many algorithms, particularly those in the DSP domain, certain forms of symmetry can be observed. To efficiently implement such algorithms, it is often possible to exploit these symmetries. However current hardware and software compilers show deficiencies, because they cannot identify them. In this paper, we propose two techniques to automatically detect and utilize symmetry. Both techniques introduce sequence edges between operations such that the feasibility of the scheduling problem is preserved, while the symmetry is broken. In combination with existing techniques for constraint analysis, this enhances the quality of compilers considerably, as is shown by benchmark results.