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


11/05/2019
Speaker(s) : Thibault Hilaire (Pequan)
Agenda : pequan dans ownCloud Date : mardi 5 novembre 2019 Heure : 16:00 Durée : 1 heure 30 minutes Description : Optimal Word-Length Allocation for the Fixed-Point Implementation of Linear Filters and Controllers
In this presentation, a word-length optimization problem under accuracy constraints is presented. It concerns 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.
This work, done with Hacène Ouzia and Benoit Lopez, has been presented at ARITH26 conference, in June.
More details here
Marc.Mezzarobba (at) nulllip6.fr
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