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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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Multipliers Based on Approximate Compressors
Micro and Nanosystems, 2021Background: Approximate computing is an emerging trend in recent year that trades off the requirement of exact computation for the improvement of speed and power performance. Objective: Researchers are trying to improve the speed and power performance proposing different algorithm. Method: This paper proposes approximate compressors used for the
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An Approximate and Iterative Posit Multiplier Architecture for FPGAs
2021 IEEE International Symposium on Circuits and Systems (ISCAS), 2021Recently, many applications have demanded cheaper and faster arithmetic while providing a wider dynamic range than the popular IEEE 754 floating-point (FP) arithmetic. As a result, a new number format called posit was proposed. As in a variety of number systems, multiplication in posit arithmetic is one of the most frequently used but expensive ...
Cameron James Norris, Sunwoong Kim
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FPGA-Based Approximate Multiplier for FP8
2025 IEEE 33rd Annual International Symposium on Field-Programmable Custom Computing Machines (FCCM)The 8-bit floating-point (FP8) data format has been increasingly adopted in neural network (NN) computations due to its superior dynamic range compared to traditional INT8. However, FP8-based multiplication, a core operation in NNs, still incurs significant power consumption.
Ruiqi Chen 0001 +7 more
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Sine Approximation with a Gaussian Multiplier
Sampling Theory in Signal and Image Processing, 2007Recently, it was shown with the help of Fourier analysis that by incorporating a Gaussian multiplier into the truncated classical sampling series, one can approximate bandlimited signals of finite energy with an error that decays exponentially as a function of the number of involved samples.
Gerhard Sehmeisser, Frank Stenger
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Hybrid Karatsuba Approximate Multiplier Utilizing a 4x4 Approximate Multiplier
2023 OITS International Conference on Information Technology (OCIT), 2023Parisa Sai Soniya +5 more
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Fixed-Width Multipliers and Multipliers-Accumulators With Min-Max Approximation Error
IEEE Transactions on Circuits and Systems I: Regular Papers, 2013Fixed-width multipliers have two n-bits operands and produce an approximate n-bits results for their product. These multipliers discard part of the partial products matrix, to reduce hardware cost, and employ extra correction functions to reduce approximation error.
Davide De Caro +4 more
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Design and Analysis of Approximate Redundant Binary Multipliers
IEEE Transactions on Computers, 2019As technology scaling is reaching its limits, new approaches have been proposed for computional efficiency. Approximate computing is a promising technique for high performance and low power circuits as used in error-tolerant applications. Among approximate circuits, approximate arithmetic designs have attracted significant research interest.
Weiqiang Liu 0001 +6 more
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OPACT: Optimization of Approximate Compressor Tree for Approximate Multiplier
2022 Design, Automation & Test in Europe Conference & Exhibition (DATE), 2022Weihua Xiao, Cheng Zhuo, Weikang Qian
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