Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer

This paper proposes a novel Piecewise Parabolic Approximate Computation method for hardware function evaluation, which mainly incorporates an error-flattened segmenter and an implementation quantizer. Under a required software maximum absolute error (MAE), the segmenter adaptively selects a minimum...

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Autores principales:	Mengyu An, Yuanyong Luo, Muhan Zheng, Yuxuan Wang, Hongxi Dong, Zhongfeng Wang, Chenglei Peng, Hongbing Pan
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	error-flattened segmenter quantizer multifunctional unit Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/1b1e7f27ac7843b882960064a98ed6ac
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id	oai:doaj.org-article:1b1e7f27ac7843b882960064a98ed6ac
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spelling	oai:doaj.org-article:1b1e7f27ac7843b882960064a98ed6ac2021-11-11T15:41:54ZPiecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer10.3390/electronics102127042079-9292https://doaj.org/article/1b1e7f27ac7843b882960064a98ed6ac2021-11-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/21/2704https://doaj.org/toc/2079-9292This paper proposes a novel Piecewise Parabolic Approximate Computation method for hardware function evaluation, which mainly incorporates an error-flattened segmenter and an implementation quantizer. Under a required software maximum absolute error (MAE), the segmenter adaptively selects a minimum number of parabolas to approximate the objective function. By completely imitating the circuit’s behavior before actual implementation, the quantizer calculates the minimum quantization bit width to ensure a non-redundant fixed-point hardware architecture with an MAE of 1 unit of least precision (ulp), eliminating the iterative design time for the circuits. The method causes the number of segments to reach the theoretical limit, and has great advantages in the number of segments and the size of the look-up table (LUT). To prove the superiority of the proposed method, six common functions were implemented by the proposed method under TSMC-90 nm technology. Compared to the state-of-the-art piecewise quadratic approximation methods, the proposed method has advantages in the area with roughly the same delay. Furthermore, a unified function-evaluation unit was also implemented under TSMC-90 nm technology.Mengyu AnYuanyong LuoMuhan ZhengYuxuan WangHongxi DongZhongfeng WangChenglei PengHongbing PanMDPI AGarticleerror-flattenedsegmenterquantizermultifunctional unitElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2704, p 2704 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	error-flattened segmenter quantizer multifunctional unit Electronics TK7800-8360
spellingShingle	error-flattened segmenter quantizer multifunctional unit Electronics TK7800-8360 Mengyu An Yuanyong Luo Muhan Zheng Yuxuan Wang Hongxi Dong Zhongfeng Wang Chenglei Peng Hongbing Pan Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
description	This paper proposes a novel Piecewise Parabolic Approximate Computation method for hardware function evaluation, which mainly incorporates an error-flattened segmenter and an implementation quantizer. Under a required software maximum absolute error (MAE), the segmenter adaptively selects a minimum number of parabolas to approximate the objective function. By completely imitating the circuit’s behavior before actual implementation, the quantizer calculates the minimum quantization bit width to ensure a non-redundant fixed-point hardware architecture with an MAE of 1 unit of least precision (ulp), eliminating the iterative design time for the circuits. The method causes the number of segments to reach the theoretical limit, and has great advantages in the number of segments and the size of the look-up table (LUT). To prove the superiority of the proposed method, six common functions were implemented by the proposed method under TSMC-90 nm technology. Compared to the state-of-the-art piecewise quadratic approximation methods, the proposed method has advantages in the area with roughly the same delay. Furthermore, a unified function-evaluation unit was also implemented under TSMC-90 nm technology.
format	article
author	Mengyu An Yuanyong Luo Muhan Zheng Yuxuan Wang Hongxi Dong Zhongfeng Wang Chenglei Peng Hongbing Pan
author_facet	Mengyu An Yuanyong Luo Muhan Zheng Yuxuan Wang Hongxi Dong Zhongfeng Wang Chenglei Peng Hongbing Pan
author_sort	Mengyu An
title	Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
title_short	Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
title_full	Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
title_fullStr	Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
title_full_unstemmed	Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer
title_sort	piecewise parabolic approximate computation based on an error-flattened segmenter and a novel quantizer
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/1b1e7f27ac7843b882960064a98ed6ac
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Piecewise Parabolic Approximate Computation Based on an Error-Flattened Segmenter and a Novel Quantizer

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