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

Pilipović, Ratko (author), Bulić, Patricio (author)

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.

• Language: English
• Keywords: approximate computing, arithmetic circuit design, Booth encoding, logarithmic multipliers, power-efficient processing, truncated multipliers
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FRI - Faculty of Computer and Information Science
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: Str. 64578-64590
• Numbering: Vol. 8
• PID: 20.500.12556/RUL-125569
• UDC: 004.312.44
• ISSN on article: 2169-3536
• DOI: 10.1109/ACCESS.2020.2985345
• COBISS.SI-ID: 1538564035
• Publication date in RUL: 25.03.2021

Record is a part of a journal

• Title: IEEE access
• Publisher: Institute of Electrical and Electronics Engineers
• ISSN: 2169-3536
• COBISS.SI-ID: 519839513

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 25.03.2021

Secondary language

• Language: Slovenian
• Keywords: približno računanje, načrtovanje aritmetičnih vezij, Boothovo kodiranje, logaritmski množilnik, energijsko učinkovito računanje, rezanje delnih produktov