Author(s)

Biswajit Mishra¹, Mittu Kochery², Peter Wilson³, Reuben Wilcock³

¹VLSI & Embedded Research Lab, Dhirubhai Ambani Institute of Information and Communication Technology (DAIICT), Gandhinagar, India.
²Advanced RISC Machines Ltd. (ARM), Cambridge, UK.
³School of Electronics and Computer Science, University of Southampton, Southampton, UK.

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.

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

Mishra, B. , Kochery, M. , Wilson, P. and Wilcock, R. (2014) A Novel Signal Processing Coprocessor for n-Dimensional Geometric Algebra Applications. Circuits and Systems, 5, 274-291. doi: 10.4236/cs.2014.511029.