Optimal Word-Length Allocation for the Fixed-Point Implementation of Linear Filters and Controllers - Sorbonne Université
Conference Papers Year : 2019

Optimal Word-Length Allocation for the Fixed-Point Implementation of Linear Filters and Controllers

Abstract

This article presents a word-length optimization problem under accuracy constraints for the hardware implementation of linear signal processing systems with fixed-point arithmetic. For State-Space systems (describing a linear filter or a controller), a complete error analysis is exhibited, where the final output error bound depends on the word-lengths and the fixed-point formats chosen for each variable. The Most Significant Bit of each one can be determined in order to guarantee that no overflow occurs. Thus, it is possible to obtain a hardware implementation minimizing resource use. This leads to a convex nonlinear integer optimization problem where the resources to minimize and the accuracy constraints depend on the internal word-lengths. This problem can then be solved with appropriate heuristics. Finally, a global approach is proposed and illustrated by some examples.
Fichier principal
Vignette du fichier
arith.pdf (332.33 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-02393851 , version 1 (04-12-2019)

Identifiers

Cite

Thibault Hilaire, Hacène Ouzia, Benoit Lopez. Optimal Word-Length Allocation for the Fixed-Point Implementation of Linear Filters and Controllers. ARITH 2019 - IEEE 26th Symposium on Computer Arithmetic, Jun 2019, Kyoto, Japan. pp.175-182, ⟨10.1109/ARITH.2019.00040⟩. ⟨hal-02393851⟩
178 View
201 Download

Altmetric

Share

More