A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier

In the field of integrated circuits, the computational cost has always been a crucial design metric. In recent years, with the continuous development in the field of computing, the requirements for computation have been growing rapidly. Reducing the computational cost and improving computational eff...

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Main Authors: Hao Liu, Mingjiang Wang, Longxin Yao, Ming Liu
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/11/12/1913
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author Hao Liu
Mingjiang Wang
Longxin Yao
Ming Liu
author_facet Hao Liu
Mingjiang Wang
Longxin Yao
Ming Liu
author_sort Hao Liu
collection DOAJ
description In the field of integrated circuits, the computational cost has always been a crucial design metric. In recent years, with the continuous development in the field of computing, the requirements for computation have been growing rapidly. Reducing the computational cost and improving computational efficiency have become the key issues in the field. There are many error-tolerant applications in the multimedia field where approximate computing techniques can be applied to improve computational efficiency and reduce computational costs at the cost of acceptable computational errors. This paper proposed a piecewise linear Mitchell algorithm based on Mitchell logarithmic approximation multiplication algorithm. Additionally, the Pwl-Mit multiplier is designed according to the improved algorithm combined with the data truncation technique. The proposed approximate multiplier has better statistical performance compared with the state-of-the-art multipliers. The design is simulated and synthesized at the TSMC 65 nm process, and its reliability is verified using discrete cosine transform (DCT) transform.
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spelling doaj.art-099a2703de02453ea9bdbbde38ad65272023-11-23T16:25:49ZengMDPI AGElectronics2079-92922022-06-011112191310.3390/electronics11121913A Piecewise Linear Mitchell Algorithm-Based Approximate MultiplierHao Liu0Mingjiang Wang1Longxin Yao2Ming Liu3Faculty of Electronics and Information Engineering, Harbin Institute of Technology, Shenzhen 518055, ChinaFaculty of Electronics and Information Engineering, Harbin Institute of Technology, Shenzhen 518055, ChinaFaculty of Electronics and Information Engineering, Harbin Institute of Technology, Shenzhen 518055, ChinaSino-German School, Shenzhen Institute of Information Technology, Shenzhen 518055, ChinaIn the field of integrated circuits, the computational cost has always been a crucial design metric. In recent years, with the continuous development in the field of computing, the requirements for computation have been growing rapidly. Reducing the computational cost and improving computational efficiency have become the key issues in the field. There are many error-tolerant applications in the multimedia field where approximate computing techniques can be applied to improve computational efficiency and reduce computational costs at the cost of acceptable computational errors. This paper proposed a piecewise linear Mitchell algorithm based on Mitchell logarithmic approximation multiplication algorithm. Additionally, the Pwl-Mit multiplier is designed according to the improved algorithm combined with the data truncation technique. The proposed approximate multiplier has better statistical performance compared with the state-of-the-art multipliers. The design is simulated and synthesized at the TSMC 65 nm process, and its reliability is verified using discrete cosine transform (DCT) transform.https://www.mdpi.com/2079-9292/11/12/1913approximate computingmultiplierhardware design
spellingShingle Hao Liu
Mingjiang Wang
Longxin Yao
Ming Liu
A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
Electronics
approximate computing
multiplier
hardware design
title A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
title_full A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
title_fullStr A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
title_full_unstemmed A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
title_short A Piecewise Linear Mitchell Algorithm-Based Approximate Multiplier
title_sort piecewise linear mitchell algorithm based approximate multiplier
topic approximate computing
multiplier
hardware design
url https://www.mdpi.com/2079-9292/11/12/1913
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