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The Fourier Transform is one of the most important linear transformations used in science and engineering. Cooley and Tukey's Fast Fourier Transform (FFT) from 1964 is a method for computing this transformation in time $O(n\log n)$.…

计算复杂性 · 计算机科学 2015-04-16 Nir Ailon

We have developed an algorithm for transferring radiation in three-dimensional space. The algorithm computes radiation source and sink terms using the Fast Fourier Transform (FFT) method, based on a formulation in which the integral of any…

天体物理学 · 物理学 2009-11-07 Renyue Cen

Factor structure of heart rate periodogram has been detected with factor analysis. The results showed that there are at least four periodical phenomena of HRV. Two of them have not been discovered and physiologically explained yet. Their…

组织与器官 · 定量生物学 2010-05-07 V. Mukhin

In this paper, we focus on the approximation of smooth functions $f: [-\pi, \pi] \rightarrow \mathbb{C}$, up to an unresolvable global phase ambiguity, from a finite set of Short Time Fourier Transform (STFT) magnitude (i.e., spectrogram)…

数值分析 · 数学 2021-06-07 Mark Iwen , Michael Perlmutter , Nada Sissouno , Aditya Viswanathan

This research work focuses on the design of a high-resolution fast Fourier transform (FFT) /inverse fast Fourier transform (IFFT) processors for constraints analysis purpose. Amongst the major setbacks associated with such high resolution,…

信号处理 · 电气工程与系统科学 2018-06-13 Rozita Teymourzadeh , Mometo Jim Abigo , Mok Vee Hoong

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

Signals from heart transplant recipients can be considered to be a natural source of information for a better understanding of the impact of the autonomic nervous system on the complexity of heart rate variability. Beat-to-beat heart rate…

Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogenization algorithm has become widely used due to its…

材料科学 · 物理学 2025-04-15 Sascha H. Hauck , Matthias Kabel , Mazen Ali , Nicolas R. Gauger

Deep classifiers may encounter significant performance degradation when processing unseen testing data from varying centers, vendors, and protocols. Ensuring the robustness of deep models against these domain shifts is crucial for their…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Yuhao Huang , Xin Yang , Xiaoqiong Huang , Xinrui Zhou , Haozhe Chi , Haoran Dou , Xindi Hu , Jian Wang , Xuedong Deng , Dong Ni

This study presents a nonlinear signal processing method for accurate radar-based heartbeat interval estimation by exploiting the periodicity of higher-order harmonics inherent in heartbeat signals. Unlike conventional approaches that…

信号处理 · 电气工程与系统科学 2025-07-29 Kohei Shimomura , Chi-Hsuan Lee , Takuya Sakamoto

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

数据结构与算法 · 计算机科学 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

In this paper, we investigate the stationarity of stochastic processes in the fractional Fourier domains. We study the stationarity of a stochastic process after performing fractional Fourier transform (FRFT), and discrete fractional…

复变函数 · 数学 2012-11-13 Ahmed El Shafie , Tamer Khattab

The Fast Fourier Transform (FFT) is the most efficiently known way to compute the Discrete Fourier Transform (DFT) of an arbitrary n-length signal, and has a computational complexity of O(n log n). If the DFT X of the signal x has only k…

信息论 · 计算机科学 2015-01-05 Sameer Pawar , Kannan Ramchandran

An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

光学 · 物理学 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

In this article, we study the properties of the nonlinear Fourier spectrum in order to gain better control of the temporal support of the signals synthesized using the inverse nonlinear Fourier transform (NFT). In particular, we provide…

计算物理 · 物理学 2018-09-17 Vishal Vaibhav

Transient signals are often composed of a series of modes that have multivalued time-dependent instantaneous frequency (IF), which brings challenges to the development of signal processing technology. Fortunately, the group delay (GD) of…

信号处理 · 电气工程与系统科学 2022-02-23 Haoran Dong , Gang Yu

The Herschel SPIRE Fourier transform spectrometer (FTS) performs spectral imaging in the 447-1546 GHz band. It can observe in three spatial sampling modes: sparse mode, with a single pointing on sky, or intermediate or full modes with 1 and…

This study addresses the classification of heartbeats from ECG signals through two distinct approaches: traditional machine learning utilizing hand-crafted features and deep learning via transformed images of ECG beats. The dataset…

信号处理 · 电气工程与系统科学 2025-06-17 Thien Nhan Vo

Environment plays a vital role in the sleep mechanism of a human. It has been shown from many studies that sleeping and waking environment, waking time and hours of sleep is of very significant importance which can result in sleeping…

计算机与社会 · 计算机科学 2016-12-28 Vivek Gupta , Siddhant Mittal , Sandip Bhaumik , Raj Roy

We describe a method for analyzing the stochasticity in the non-stationary data for the beat-to-beat fluctuations in the heart rates of healthy subjects, as well as those with congestive heart failure. The method analyzes the returns time…

生物物理 · 物理学 2007-05-23 F. Ghasemi , Muhammad Sahimi , J. Peinke , M. Reza Rahimi Tabar
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