The extensive use of fixed-point digital controllers demands a growing effort to prevent
design errors that appear in the discrete-time domain. The present article describes a novel …

Many digital filters and signal-processing transforms can be expressed as a sum of products
with constants (SPC). This paper addresses the automatic construction of low-precision, but …

In this article, we focus on the Fixed-Point implementation of Linear Time Invariant (LTI)
filters in state-space representation. For that purpose, we give an algorithm to determine the …

De nombreux systèmes embarqués implémentent des applications de traitement du signal,
notamment lors de communications. Certains de ces traitements sont effectués par des …

A consistent analysis of the filter design along with its further implementation in fixed-point
arithmetic requires a large amount of work, and this process differs from one filter …

In this article, we propose a complete methodology to implement a signal processing or
control-engineering algorithm described with a linear data-flow into numerical code using …

To be cost effective, embedded systems are shipped with low-end micro-processors. These
processors are dedicated to one or few tasks that are highly demanding on computational …

In this thesis we develop approaches for improvement of the numerical behavior of digital
filters with focus on the impact of accuracy of the computations. This work is done in the …

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 …

In this paper we propose to perform a complete error analysis of a fixed-point
implementation of any linear system described by data-flow graph. The system is translated …