On the design of logarithmic multiplier using Radix-4 Booth encoding

Ratko Pilipović (Author), Patricio Bulić (Author)

Abstract

This paper proposes an energy-efficient approximate multiplier which combines radix-4 Booth encoding and logarithmic product approximation. Additionally, a datapath pruning technique is proposed and studied to reduce the hardware complexity of the multiplier. Various experiments were conducted to evaluate the multiplier's error performance and efficiency in terms of energy and area utilization. The reported results are based on simulations using TSMC-180nm. Also, the applicability of the proposed multiplier is examined in image sharpening and convolutional neural networks. The applicability assessment shows that the proposed multiplier can replace an exact multiplier and deliver up to a 75% reduction in energy consumption and up to a 50% reduction in area utilization. Comparative analysis with the state-of-the-art multipliers indicates the potential of the proposed approach as a novel design strategy for approximate multipliers. When compared to the state-of-the-art approximate non-logarithmic multipliers, the proposed multiplier offers smaller energy consumption with the same level of applicability in image processing and classification applications. On the other hand, some state-of-the-art approximate logarithmic multipliers exhibit lower energy consumption than the proposed multiplier but deliver significant performance degradation for the selected application cases.

Keywords

približno računanje;načrtovanje aritmetičnih vezij;Boothovo kodiranje;logaritmski množilnik;energijsko učinkovito računanje;approximate computing;arithmetic circuit design;Booth encoding;logarithmic multipliers;power-effcient processing;

Data

Language:	English
Year of publishing:	2020
Typology:	1.01 - Original Scientific Article
Organization:	UL FRI - Faculty of Computer and Information Science
UDC:	004.312.44
COBISS:	1538564035
ISSN:	2169-3536
Views:	432
Downloads:	159
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	približno računanje;načrtovanje aritmetičnih vezij;Boothovo kodiranje;logaritmski množilnik;energijsko učinkovito računanje;rezanje delnih produktov;
Type (COBISS):	Article
Pages:	str. 64578-64590
Issue:	ǂVol. ǂ8
Chronology:	Apr. 2020
DOI:	10.1109/ACCESS.2020.2985345
ID:	12688987