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The precise analysis and accurate measurement of harmonic provides a reliable scientific industrial application. However, the high-performance DSP processor is the important method of electrical harmonic analysis. Hence, in this research…

Signal Processing · Electrical Eng. & Systems 2018-06-13 Rozita Teymourzadeh , Memtode Jim , Mok Vee hong

Energy proportionality is the key design goal followed by architects of modern multicore CPUs. One of its implications is that optimization of an application for performance will also optimize it for energy. In this work, we show that…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Semyon Khokhriakov , Ravi Reddy Manumachu , Alexey Lastovetsky

The Number Theoretic Transform (NTT) is an indispensable tool for computing efficient polynomial multiplications in post-quantum lattice-based cryptography. It has strong resemblance with the Fast Fourier Transform (FFT), which is the most…

Cryptography and Security · Computer Science 2025-04-16 Rishabh Shrivastava , Chaitanya Prasad Ratnala , Durga Manasa Puli , Utsav Banerjee

The fast Fourier transform (FFT) is undoubtedly an essential primitive that has been applied in various fields of science and engineering. In this paper, we present a decomposition method for parallelization of multi-dimensional FFTs with…

Numerical Analysis · Computer Science 2013-02-26 Truong Vinh Truong Duy , Taisuke Ozaki

In modern low-power embedded platforms, floating-point (FP) operations emerge as a major contributor to the energy consumption of compute-intensive applications with large dynamic range. Experimental evidence shows that 50% of the energy…

Hardware Architecture · Computer Science 2017-11-29 Giuseppe Tagliavini , Stefan Mach , Davide Rossi , Andrea Marongiu , Luca Benini

This paper shows that it is possible to improve the computational cost, the memory requirements and the accuracy of Quick Fourier Transform (QFT) algorithm for power-of-two FFT (Fast Fourier Transform) just introducing a slight modification…

Data Structures and Algorithms · Computer Science 2013-01-07 Lorenzo Pasquini

In the field of digital signal processing, the fast Fourier transform (FFT) is a fundamental algorithm, with its processors being implemented using either the pipelined architecture, well-known for high-throughput applications but weak in…

Hardware Architecture · Computer Science 2025-01-03 Fangyu Zhao , Chunhua Xiao , Zhiguo Wang , Xiaohua Du , Bo Dong

Exascale systems are predicted to have approximately one billion cores, assuming Gigahertz cores. Limitations on affordable network topologies for distributed memory systems of such massive scale bring new challenges to the current parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-27 Huda Ibeid , Rio Yokota , David Keyes

The kernel-independent fast multipole method (KIFMM) proposed in [1] is of almost linear complexity. In the original KIFMM the time-consuming M2L translations are accelerated by FFT. However, when more equivalent points are used to achieve…

Numerical Analysis · Computer Science 2015-03-19 Yanchuang Cao , Lihua Wen , Junjie Rong

The present work attempts to integrate the independent efforts in the fast N-body community to create the fastest N-body library for many-core and heterogenous architectures. Focus is placed on low accuracy optimizations, in response to the…

Numerical Analysis · Computer Science 2012-09-20 Rio Yokota

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

The substantial memory bandwidth and computational demands of large language models (LLMs) present critical challenges for efficient inference. To tackle this, the literature has explored heterogeneous systems that combine neural processing…

Hardware Architecture · Computer Science 2026-05-05 Yuzong Chen , Chao Fang , Xilai Dai , Yuheng Wu , Thierry Tambe , Marian Verhelst , Mohamed S. Abdelfattah

The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of differential equations. We present FINUFFT, an efficient…

Numerical Analysis · Mathematics 2019-04-10 Alex H. Barnett , Jeremy F. Magland , Ludvig af Klinteberg

Fourier ptychography has attracted a wide range of focus for its ability of large space-bandwidth-produce, and quantative phase measurement. It is a typical computational imaging technique which refers to optimizing both the imaging…

Image and Video Processing · Electrical Eng. & Systems 2022-03-08 Guocheng Zhou , Shaohui Zhang , Yao Hu , Lei Cao , Yong Huang , Qun Hao

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

Materials Science · Physics 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

Many tools and libraries employ hardware performance monitoring (HPM) on modern processors, and using this data for performance assessment and as a starting point for code optimizations is very popular. However, such data is only useful if…

Performance · Computer Science 2013-02-20 Jan Treibig , Georg Hager , Gerhard Wellein

The Finite Difference Time Domain (FDTD) method is a widely used numerical technique for solving Maxwell's equations, particularly in computational electromagnetics and photonics. It enables accurate modeling of wave propagation in complex…

Computation and Language · Computer Science 2025-04-15 Yifei He , Måns I. Andersson , Stefano Markidis

In this paper, we describe the algorithms we implemented in FDPS to make efficient use of accelerator hardware such as GPGPUs. We have developed FDPS to make it possible for many researchers to develop their own high-performance parallel…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 Masaki Iwasawa , Daisuke Namekata , Keigo Nitadori , Kentaro Nomura , Long Wang , Miyuki Tsubouchi , Junichiro Makino

We examine the Xeon Phi, which is based on Intel's Many Integrated Cores architecture, for its suitability to run the FDK algorithm--the most commonly used algorithm to perform the 3D image reconstruction in cone-beam computed tomography.…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-16 Johannes Hofmann , Jan Treibig , Georg Hager , Gerhard Wellein

This paper proposes a class of power-of-two FFT (Fast Fourier Transform) algorithms, called AM-QFT algorithms, that contains the improved QFT (Quick Fourier Transform), an algorithm recently published, as a special case. The main idea is to…

Data Structures and Algorithms · Computer Science 2014-04-08 Lorenzo Pasquini