Fixed-Point Trigonometric Functions on FPGAs

Florent de Dinechin (1, 2) , Matei Istoan (1, 2) , Guillaume Sergent (1)

1 LIP - Laboratoire de l'Informatique du Parallélisme
2 ARIC - Arithmetic and Computing

Three approaches for computing sines and cosines on FPGAs are studied in this paper, with a focus of high-throughput pipelined architecture, and state-of-the-art implementation techniques. The first approach is the classical CORDIC iteration, for which we suggest a reduced iteration technique and fine optimizations in datapath width and latency. The second is an ad-hoc architecture specifically designed around trigonometric identities. The third uses a generic table- and DSP-based polynomial approximator. These three architectures are implemented and compared in the FloPoCo framework.

Domaines: Arithmétique des ordinateurs

Florent de Dinechin, Matei Istoan, Guillaume Sergent. Fixed-Point Trigonometric Functions on FPGAs. Fourth International Symposium on Highly-Efficient Accelerators and Reconfigurable Technologies, Jun 2013, Edimburgh, United Kingdom. pp.1-6. ⟨ensl-00802777⟩