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Computing the Sparse Fast Fourier Transform(sFFT) of a K-sparse signal of size N has emerged as a critical topic for a long time. There are mainly two stages in the sFFT: frequency bucketization and spectrum reconstruction. Frequency…

Signal Processing · Electrical Eng. & Systems 2020-11-12 Bin Li , Zhikang Jiang , Jie Chen

This paper proposes a spatiotemporal (ST) fusion framework robust against diverse noise for satellite images, named Temporally-Similar Structure-Aware ST fusion (TSSTF). ST fusion is a promising approach to address the trade-off between the…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Ryosuke Isono , Shunsuke Ono

The problem of recovering a signal from the magnitude of its short-time Fourier transform (STFT) is a longstanding one in audio signal processing. Existing approaches rely on heuristics that often perform poorly because of the nonconvexity…

Applications · Statistics 2012-09-11 Dennis L. Sun , Julius O. Smith

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…

Data Analysis, Statistics and Probability · Physics 2015-07-08 Elya Courtney , Michael Courtney

The next generation of gravitational wave detectors will improve the detection prospects for gravitational waves from core-collapse supernovae. The complex astrophysics involved in core-collapse supernovae pose a significant challenge to…

Instrumentation and Methods for Astrophysics · Physics 2019-04-03 Vincent Roma , Jade Powell , Ik Siong Heng , Ray Frey

Based on the prior O1-O2 observing runs, about 30% of the data collected by Advanced LIGO and Virgo in the next observing runs are expected to be single-interferometer data, i.e., they will be collected at times when only one detector in…

Instrumentation and Methods for Astrophysics · Physics 2020-06-14 Marco Cavaglia , Sergio Gaudio , Travis Hansen , Kai Staats , Marek Szczepanczyk , Michele Zanolin

We use an asteroseismology method to calculate the frequencies of gravitational waves in a long-term core-collapse supernova simulation, with a mass of 9.6 $M_\odot$. The simulation, which includes neutrino transport in general relativity…

High Energy Astrophysical Phenomena · Physics 2023-04-11 Masamitsu Mori , Yudai Suwa , Tomoya Takiwaki

This study introduces a new adaptive time-frequency (TF) analysis technique, synchrosqueezing transform (SST), to explore the dynamics of a laser-driven hydrogen atom at an {\it ab initio} level, upon which we have demonstrated its…

Data Analysis, Statistics and Probability · Physics 2021-06-21 Yae-lin Sheu , Liang-Yan Hsu , Hau-tieng Wu , Peng-Cheng Li , Shih-I Chu

We propose an optimization-based method for reconstructing a time-domain signal from a low-dimensional spectral representation such as a mel-spectrogram. Phase reconstruction has been studied to reconstruct a time-domain signal from the…

Sound · Computer Science 2023-07-25 Yoshiki Masuyama , Natsuki Ueno , Nobutaka Ono

We present a method for detection and reconstruction of the gravitational-wave (GW) transients with the networks of advanced detectors. Originally designed to search for transients with the initial GW detectors, it uses significantly…

General Relativity and Quantum Cosmology · Physics 2016-02-17 S. Klimenko , G. Vedovato , M. Drago , F. Salemi , V. Tiwari , G. A. Prodi , C. Lazzaro , K. Ackley , S. Tiwari , C. F. Da Silva Cost- , G. Mitselmakher

Pulsar timing arrays (PTAs) are essential tools for detecting the stochastic gravitational wave background (SGWB), but their analysis faces significant computational challenges. Traditional methods like Markov-chain Monte Carlo (MCMC)…

Instrumentation and Methods for Astrophysics · Physics 2024-12-30 Bo Liang , Chang Liu , Tianyu Zhao , Minghui Du , Manjia Liang , Ruijun Shi , Hong Guo , Yuxiang Xu , Li-e Qiang , Peng Xu , Wei-Liang Qian , Ziren Luo

In this work, we present the analytic treatment of the Fourier Transform (FT) of the Gravitational Wave (GW) signal from a pulsar including spin down corrections in a parametrized model discussed by Brady et. al. The formalism lends itself…

Astrophysics · Physics 2007-05-23 S. R. Valluri , F. A. Chishtie , A. Vajda

Phased array ultrasound is a widely used technique in non-destructive testing. Using piezoelectric elements as both sources and receivers provides a significant gain in information and enables more accurate defect detection. When all…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 Tim Bürchner , Simon Schmid , Lukas Bergbreiter , Ernst Rank , Stefan Kollmannsberger , Christian U. Grosse

Time-frequency images (TFIs) provide a joint time-frequency representation of a signal and have become an effective tool for analyzing, characterizing, and processing non-stationary signals. Deep learning (DL) techniques have become…

Signal Processing · Electrical Eng. & Systems 2023-02-23 Mehmet Parlak

Time-resolved CT is an advanced measurement technique that has been widely used to observe dynamic objects, including periodically varying structures such as hearts, lungs, or hearing structures. To reconstruct these objects from CT…

Medical Physics · Physics 2025-06-05 Qianwei Qu , Christian M. Schlepütz , Marco Stampanoni

Objective: Ultrasound Shear Wave Elastography (SWE) demonstrates great potential in assessing soft-tissue pathology by mapping tissue stiffness, which is linked to malignancy. Traditional SWE methods have shown promise in estimating tissue…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Ahsan Habib Akash , MD Jahin Alam , Md. Kamrul Hasan

The signal of continuous gravitational waves has a longer duration than the observation period. Even if the waveform in the source frame is monochromatic, we will observe the waveform with modulated frequencies due to the motion of the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Takahiro S. Yamamoto , Takahiro Tanaka

An adaptive time-frequency representation (TFR) with higher energy concentration usually requires higher complexity. Recently, a low-complexity adaptive short-time Fourier transform (ASTFT) based on the chirp rate has been proposed. To…

Information Theory · Computer Science 2017-05-26 Soo-Chang Pei , Shih-Gu Huang

We develop a framework for efficient streaming reconstructions of turbulent velocity fluctuations from limited sensor measurements with the goal of enabling real-time applications. The reconstruction process is simplified by computing…

Fluid Dynamics · Physics 2023-06-29 Rahul Arun , H. Jane Bae , Beverley J. McKeon

Numerical simulations of merging black hole binaries produce the most accurate gravitational waveforms. The availability of hundreds of these numerical relativity (NR) waveforms, often containing many higher spherical harmonic modes, allows…

General Relativity and Quantum Cosmology · Physics 2016-11-24 Chad R. Galley , Patricia Schmidt
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