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A low-power, high-performance approximate multiplier with configurable partial error recovery

TLDR
It is shown that by utilizing an appropriate error recovery, the proposed approximate multiplier achieves similar processing accuracy as traditional exact multipliers but with significant improvements in power and performance.
Abstract
Approximate circuits have been considered for error-tolerant applications that can tolerate some loss of accuracy with improved performance and energy efficiency. Multipliers are key arithmetic circuits in many such applications such as digital signal processing (DSP). In this paper, a novel approximate multiplier with a lower power consumption and a shorter critical path than traditional multipliers is proposed for high-performance DSP applications. This multiplier leverages a newly-designed approximate adder that limits its carry propagation to the nearest neighbors for fast partial product accumulation. Different levels of accuracy can be achieved through a configurable error recovery by using different numbers of most significant bits (MSBs) for error reduction. The approximate multiplier has a low mean error distance, i.e., most of the errors are not significant in magnitude. Compared to the Wallace multiplier, a 16-bit approximate multiplier implemented in a 28nm CMOS process shows a reduction in delay and power of 20% and up to 69%, respectively. It is shown that by utilizing an appropriate error recovery, the proposed approximate multiplier achieves similar processing accuracy as traditional exact multipliers but with significant improvements in power and performance.

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Citations
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Journal ArticleDOI

Approximate Computing: A Survey

TL;DR: This paper presents a survey of state-of-the-art work in all aspects of approximate computing and highlights future research challenges in this field.
Journal ArticleDOI

Design of Power and Area Efficient Approximate Multipliers

TL;DR: Synthesis results reveal that two proposed multipliers achieve power savings of 72% and 38%, respectively, compared to an exact multiplier, and have better precision when compared to existing approximate multipliers.
Proceedings ArticleDOI

DRUM: A Dynamic Range Unbiased Multiplier for Approximate Applications

TL;DR: This paper designs a novel approximate multiplier to have an unbiased error distribution, which leads to lower computational errors in real applications because errors cancel each other out, rather than accumulate, as the multiplier is used repeatedly for a computation.
Journal ArticleDOI

Design of Approximate Radix-4 Booth Multipliers for Error-Tolerant Computing

TL;DR: The results show that the proposed 16-bit approximate radix-4 Booth multiplier with approximate factors of 12 and 14 are more accurate than existing approximate Booth multipliers with moderate power consumption and the proposed R4ABM2 multiplier with an approximation factor of 14 is the most efficient design.
Journal ArticleDOI

A Review, Classification, and Comparative Evaluation of Approximate Arithmetic Circuits

TL;DR: A review and classification are presented for the current designs of approximate arithmetic circuits including adders, multipliers, and dividers including improvements in delay, power, and area for the detection of differences in images by using approximate dividers.
References
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Book

CMOS VLSI Design : A Circuits and Systems Perspective

TL;DR: The authors draw upon extensive industry and classroom experience to introduce todays most advanced and effective chip design practices, and present extensively updated coverage of every key element of VLSI design, and illuminate the latest design challenges with 65 nm process examples.
Book

Computer Arithmetic: Algorithms and Hardware Designs

TL;DR: An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems.
Proceedings ArticleDOI

Approximate computing: An emerging paradigm for energy-efficient design

TL;DR: This paper reviews recent progress in the area, including design of approximate arithmetic blocks, pertinent error and quality measures, and algorithm-level techniques for approximate computing.
Book

Computer Arithmetic

Journal ArticleDOI

New Metrics for the Reliability of Approximate and Probabilistic Adders

TL;DR: New metrics are proposed for evaluating the reliability as well as the power efficiency of approximate and probabilistic adders and it is shown that the MED is an effective metric for measuring the implementation accuracy of a multiple-bit adder and that the NED is a nearly invariant metric independent of the size of an adder.
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