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Perwass, C., Gebken, C. and Sommer, G. (2003) Implementation of a Clifford Algebra Co-Processor Design on a Field Programmable Gate Array. In: Ablamowicz, R., Ed., Clifford Algebras: Application to Mathematics, Physics, and Engineering, ser. Progress in Mathematical Physics, 6th International Conference on Clifford Algebras and Applications, Cookeville, TN. Birkhäuser, Boston, 561-575.

has been cited by the following article:

• TITLE: A Novel Signal Processing Coprocessor for n-Dimensional Geometric Algebra Applications

  AUTHORS: Biswajit Mishra, Mittu Kochery, Peter Wilson, Reuben Wilcock

  KEYWORDS: Geometric Algebra, Clifford Algebra, FPGA, GA Co-Processor

  JOURNAL NAME: Circuits and Systems, Vol.5 No.11, October 22, 2014

  ABSTRACT: This paper provides an implementation of a novel signal processing co-processor using a Geometric 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 implementation, 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.