On the Approximation of Accuracy-configurable Sequential Multipliers via Segmented Carry Chains

In this paper, we present a multiplier based on a sequence of approximated accumulations. According to a given splitting point of the carry chains, the technique herein introduced allows varying the quality of the accumulations and, consequently, the overall product. Our approximate multiplier trade...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Echavarria, Jorge, Wildermann, Stefan, Keszocze, Oliver, Khosravi, Faramarz, Becher, Andreas, Teich, Jürgen
Format: Article
Language:English
Subjects:
Accuracy
Approximation
Chain scission
Chains
Combinatorial analysis
Error analysis
Power consumption
Online Access:Get full text
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Summary:In this paper, we present a multiplier based on a sequence of approximated accumulations. According to a given splitting point of the carry chains, the technique herein introduced allows varying the quality of the accumulations and, consequently, the overall product. Our approximate multiplier trades-off accuracy for a reduced latency (with respect to an accurate sequential multiplier) and exploits the inherent area savings of sequential over combinatorial approaches. We implemented multiple versions with different bit-width and accuracy configurations, targeting an FPGA and a 45nm ASIC to estimate resources, power consumption, and latency. We also present two error analyses of the proposed design based on closed-form analysis and simulations.
ISSN:2331-8422