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Sum-of-products Evaluation Schemes with Fixed-Point arithmetic, and their application to IIR filter implementation

Abstract : — The signal processing and control algorithms are widely based on sum-of-products evaluation. In fixed-point arith-metic, the roundoff errors and coefficient quantization may have an important effect on the application's performance and characteristics. As part of a global methodology on optimal fixed-point im-plementation of filters/controllers, this paper formalizes the various implementation schemes for sum-of-products in fixed-point arithmetic and automates the fixed-point code production. The order of the operations are considered, as their bit-width and the fixed-point representation of the coefficients, variables and partial results. Applied to linear filters, the output roundoff noise error is then evaluated and used as a criteria to find out interesting evaluation scheme. An example illustrates the approach.
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https://hal.sorbonne-universite.fr/hal-01076043
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Submitted on : Monday, October 20, 2014 - 9:41:32 PM
Last modification on : Sunday, June 26, 2022 - 9:43:39 AM
Long-term archiving on: : Wednesday, January 21, 2015 - 11:36:39 AM

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  • HAL Id : hal-01076043, version 1

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Benoit Lopez, Thibault Hilaire, Laurent-Stéphane Didier. Sum-of-products Evaluation Schemes with Fixed-Point arithmetic, and their application to IIR filter implementation. Conference on Design and Architectures for Signal and Image Processing (DASIP), Oct 2012, Karlsruhe, Germany. ⟨hal-01076043⟩

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