A Novel Signal Processing Coprocessor for <i>n-</i>Dimensional Geometric Algebra Applications

• 作者: Biswajit Mishra Mittu Kochery Peter Wilson Reuben Wilcock
• 来源期刊: 电路与系统(英文)
• 学科: 数学
• 关键词: GEOMETRIC ALGEBRA CLIFFORD ALGEBRA FPGA GA Co-Processor
• 年，卷（期）: 2014,（11）
• 页码范围: 274-291
• 页数: 18页
• 分类号: O1

摘要

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.