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The fast Fourier transform, FFT, is a useful and prevalent algorithm in signal processing. It characterizes the spectral components of a signal, or is used in combination with other operations to perform more complex computations such as…

信号处理 · 电气工程与系统科学 2017-11-08 Hani Nejadriahi , David HillerKuss , Jonathan K. George , Volker J. Sorger

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

数据分析、统计与概率 · 物理学 2015-07-08 Elya Courtney , Michael Courtney

In this paper, a new fast and low complexity transform is introduced for orthogonal frequency division multiplexing (OFDM) wireless systems. The new transform combines the effects of fast complex-Walsh-Hadamard transform (CHT) and the fast…

信号处理 · 电气工程与系统科学 2023-10-30 Said Boussakta , Mounir T. Hamood , Mohammed Sh. Ahmed

Diffusion models are proficient at generating high-quality images. They are however effective only when operating at the resolution used during training. Inference at a scaled resolution leads to repetitive patterns and structural…

计算机视觉与模式识别 · 计算机科学 2024-11-28 Haosen Yang , Adrian Bulat , Isma Hadji , Hai X. Pham , Xiatian Zhu , Georgios Tzimiropoulos , Brais Martinez

We present an effective and efficient method that explores the properties of Transformers in the frequency domain for high-quality image deblurring. Our method is motivated by the convolution theorem that the correlation or convolution of…

计算机视觉与模式识别 · 计算机科学 2022-11-23 Lingshun Kong , Jiangxin Dong , Mingqiang Li , Jianjun Ge , Jinshan Pan

We present a deep neural network-enabled method to accelerate near-field (NF) antenna measurement. We develop a Near-field Super-resolution Network (NFS-Net) to reconstruct significantly undersampled near-field data as high-resolution data,…

信号处理 · 电气工程与系统科学 2024-12-04 Yuchen Gu , Hai-Han Sun , Daniel W. van der Weide

The fundamentals of Fourier Transform are presented, with analytical solutions derived for Continuous Fourier Transform (CFT) of truncated signals, to benchmark against Fast Fourier Transform (FFT). Certain artifacts from FFT were…

应用物理 · 物理学 2019-07-03 K. H. H. Goh

Non-uniform fast Fourier Transform (NUFFT) and inverse NUFFT (INUFFT) algorithms, based on the Fast Multipole Method (FMM) are developed and tested. Our algorithms are based on a novel factorization of the FFT kernel, and are implemented…

数值分析 · 计算机科学 2016-11-30 Nail A. Gumerov , Ramani Duraiswami

One of the major reasons for misclassification of multiplex actions during action recognition is the unavailability of complementary features that provide the semantic information about the actions. In different domains these features are…

计算机视觉与模式识别 · 计算机科学 2020-08-25 Zeeshan Ahmad , Naimul Khan

Fast Fourier Transform (FFT) relies on the HRV frequency-domain analysis techniques. It requires re-sampling of the inherently unevenly sampled heartbeat time-series (RR tachogram) to produce an evenly sampled time series of the heartbeat.…

医学物理 · 物理学 2022-08-04 Amin Gasmi

The usual fluid equations describing the large-scale evolution of mass density in the universe can be written as local in the density, velocity divergence, and velocity potential fields. As a result, the perturbative expansion in small…

宇宙学与河外天体物理 · 物理学 2016-06-01 Marcel Schmittfull , Zvonimir Vlah , Patrick McDonald

Fluid antenna systems encompass a broad class of reconfigurable antenna technologies that offer substantial spatial diversity for various optimization objectives and communication tasks. Their capability to enhance spatial resolution within…

信息论 · 计算机科学 2025-12-01 Jingyuan Xu , Zhentian Zhang , Jian Dang , Hao Jiang , Zaichen Zhang

We consider finite approximations of a fractal generated by an iterated function system of affine transformations on $\mathbb{R}^d$ as a discrete set of data points. Considering a signal supported on this finite approximation, we propose a…

泛函分析 · 数学 2016-07-14 Calvin Hotchkiss , Eric S. Weber

A Discrete Fourier Transform Method (DFTM) for discrimination between the signal of neutrons and gamma rays in organic scintillation detectors is presented. The method is based on the transformation of signals into the frequency domain…

仪器与探测器 · 物理学 2016-11-03 M. J. Safari , F. Abbasi Davani , H. Afarideh , S. Jamili , E. Bayat

The rapid and accurate evaluation of convolutions with singular kernels plays crucial roles in a wide range of scientific and engineering applications. Building on the recently introduced Truncated Fourier Filtering method for smooth…

数值分析 · 数学 2025-11-27 Oscar Bruno , Jinghao Cao

Conduction transfer functions (CTF) are commonly used in the building services to quickly estimate hourly conduction heat loads through multilayered walls without resorting to expensive, time-consuming solutions of the heat equation. It is…

计算工程、金融与科学 · 计算机科学 2021-10-26 Khodr Jaber

Background: Windowed Fourier decompositions (WFD) are widely used in measuring stationary and non-stationary spectral phenomena and in describing pairwise relationships among multiple signals. Although a variety of WFDs see frequent…

定量方法 · 定量生物学 2019-01-30 Christopher K. Kovach , Phillip E. Gander

We consider the Fast Fourier Transform (FFT) based numerical method for thin film magnetization problems [Vestg{\aa}rden and Johansen, SuST, 25 (2012) 104001], compare it with the finite element methods, and evaluate its accuracy. Proposed…

计算物理 · 物理学 2018-05-09 Leonid Prigozhin , Vladimir Sokolovsky

We describe the performance of our latest generations of sensitive wide-band high-resolution digital Fast Fourier Transform Spectrometer (FFTS). Their design, optimized for a wide range of radio astronomical applications, is presented.…

天体物理仪器与方法 · 物理学 2015-06-04 Bernd Klein , Stefan Hochgürtel , Ingo Krämer , Andreas Bell , Klaus Meyer , Rolf Güsten

Ultrasound imaging is a cost-effective and radiation-free modality for visualizing anatomical structures in real-time, making it ideal for guiding surgical interventions. However, its limited field-of-view, speckle noise, and imaging…

图像与视频处理 · 电气工程与系统科学 2024-04-26 Remi Delaunay , Ruisi Zhang , Filipe C. Pedrosa , Navid Feizi , Dianne Sacco , Rajni Patel , Jayender Jagadeesan