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Comparative Review of Approximate Multipliers
2020 30th International Conference Radioelektronika (RADIOELEKTRONIKA), 2020In the digital signal processing (DSP) system, multiplier is a significant arithmetic module. It contributes mainly in the power consumption and speed, and efficient multipliers are the need of the hour. Approximate computing has added a unique dimension in the area of digital design by reducing area, power and delay.
Sushree Sila P. Goswami +3 more
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Configurable DSI partitioned approximate multiplier
Future Generation Computer Systems, 2021Abstract Approximate computing has been considered for error-tolerant applications that can tolerate some loss of accuracy. It improves metrics such as dynamic power, delay, and area. Multipliers are key elements in arithmetic logic units and used in many applications such as Digital Signal Processing (DSP).
Fahimeh Hajizadeh +4 more
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Approximation of Matrices by Gabor Multipliers
IEEE Signal Processing Letters, 2004We present a fast Fourier transform based algorithm which allows to obtain the best approximation of a given time-variant linear system by approximating its matrix (in the Hilbert-Schmidt sense) by a Gabor multiplier, using a given tight Gabor frame. We illustrate the approach by approximating the inverse of a slowly time variant filter. Π2004 IEEE.
Feichtinger, Hans Georg +2 more
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Design of Approximate Logarithmic Multipliers
Proceedings of the Great Lakes Symposium on VLSI 2017, 2017Lower power has been a main challenge for IC design. Approximate computing provides a new approach for low power design. Logarithmic multiplier (LM) is a kind of approximate multipliers in nature. In this paper, the design of both non-iterative and iterative approximate LMs (IALM) are studied to further reduce the power consumption and improve the ...
Weiqiang Liu 0001 +3 more
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A note on an approximate lagrange multiplier rule
Mathematical Programming, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joydeep Dutta +2 more
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Approximations to the Multiplier Method
SIAM Journal on Numerical Analysis, 1985The author analyzes approximations to the multiplier method for solving optimization problems. In particular, the effect of replacing the constrained problem by the unconstrained optimization of a penalized Lagrangian over a subspace instead of a Hilbert space, is considered. Some applications to nonlinear optimal control are discussed.
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Design of an Approximate Multiplier with Time and Power Efficient Approximation Methods
Journal of Circuits, Systems and Computers, 2023Approximate multipliers have gradually become a focus of research due to the emergence of fault-tolerant applications. This paper deals with the approximation methods for an approximation multiplier with truncation, probability transformation and a majority gate-based compressor chain.
Ruyi Liu +5 more
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Approximation of adjoint of a multiplier on banach algebras
Acta Mathematica Scientia, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghaffari, A., Javadi, S., Khodaei, H.
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Design of An Approximate FFT Processor Based on Approximate Complex Multipliers
2021 IEEE Computer Society Annual Symposium on VLSI (ISVLSI), 2021The Fast Fourier Transform (FFT) is an efficient algorithm to calculate the Discrete Fourier Transform (DFT), which is often employed in Digital Signal Processing (DSP) and communication. In FFT, complex multiplication and addition units in the butterfly module consume most of the hardware resources.
Jinhe Du +4 more
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Architectural-space exploration of approximate multipliers
Proceedings of the 35th International Conference on Computer-Aided Design, 2016This paper presents an architectural-space exploration methodology for designing approximate multipliers. Unlike state-of-the-art, our methodology generates various design points by adapting three key parameters: (1) different types of elementary approximate multiply modules, (2) different types of elementary adder modules for summing the partial ...
Semeen Rehman +4 more
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