Open AccessPrecision analysis with analytical bit‐width optimisation process for linear circuits with feedbacks
Author(s) -
Lamini ElSedik,
Tagzout Samir,
Belbachir Hacène,
Belouchrani Adel
Publication year - 2018
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2017.0514
Subject(s) - computer science , process (computing) , filter (signal processing) , algorithm , interconnection , impulse (physics) , electronic circuit , task (project management) , impulse response , mathematics , engineering , telecommunications , mathematical analysis , physics , systems engineering , quantum mechanics , electrical engineering , computer vision , operating system
Finding the best possible word length to accuracy trade off seems to be an obvious design task. However, the literature and carful design reviews show that word lengths are often overestimated to put the data accuracy at the safe side. This study proposes a mathematical process to balance that trade off. It describes an analytical optimisation technique that considers every interconnection and it shows clear improvement with respect to published results. To allow reproducibility of their work, detailed procedures are provided. Implementation results are presented for different configurations of infinite impulse response filters. More, the impact of the proposed bit‐width optimisation on the filter poles and zeros is provided to show the effectiveness of the proposed solution. Their solution provides overall improvement going up to 17% of the circuit's area with respect to existing methods. The proposed technique for uniform fractional bits allocation runs in a negligible time independently of the targeted accuracy.