A novel signal processing coprocessor for n-Dimensional geometric algebra applications

Abstract

This paper provides an implementation of a novel signal processing co-processor using a Geome-tric Algebra technique tailored for fast and complex geometric calculations in multiple dimensions. This is the first hardware implementation of Geometric Algebra to specifically address the issue of scalability to multiple (1 -8) dimensions. This paper presents a detailed description of the imple-mentation, with a particular focus on the techniques of optimization used to improve performance. Results are presented which demonstrate at least 3x performance improvements compared to previously published work.