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Many neural speech enhancement and source separation systems operate in the time-frequency domain. Such models often benefit from making their Short-Time Fourier Transform (STFT) front-ends trainable. In current literature, these are…

音频与语音处理 · 电气工程与系统科学 2020-02-24 Jonah Casebeer , Umut Isik , Shrikant Venkataramani , Arvindh Krishnaswamy

For supernovae gravitational wave signal analysis which intend to reconstruct supernova gravitational waves waveforms, we compare the performance of short-time Fourier transform (STFT), the synchroextracting transform (SET) and…

高能天体物理现象 · 物理学 2020-10-28 Zhuotao Li , Xilong Fan , Gang Yu

The Fast Fourier Transform(FFT) is a classic signal processing algorithm that is utilized in a wide range of applications. For image processing, FFT computes on every pixel's value of an image, regardless of their properties in frequency…

信号处理 · 电气工程与系统科学 2020-02-25 Sheng Shi , Runkai Yang , Haihang You

In this paper, we revisit the use of spectrograms in neural networks, by making the window length a continuous parameter optimizable by gradient descent instead of an empirically tuned integer-valued hyperparameter. The contribution is…

机器学习 · 计算机科学 2022-08-26 Maxime Leiber , Axel Barrau , Yosra Marnissi , Dany Abboud

The Synchrosqueezing transform is a time-frequency analysis method that can decompose complex signals into time-varying oscillatory components. It is a form of time-frequency reassignment that is both sparse and invertible, allowing for the…

计算工程、金融与科学 · 计算机科学 2014-05-01 Gaurav Thakur

In this paper, a novel and robust algorithm is proposed for adaptive beamforming based on the idea of reconstructing the autocorrelation sequence (ACS) of a random process from a set of measured data. This is obtained from the first column…

信息论 · 计算机科学 2021-06-25 Saeed Mohammadzadeh , Vitor H. Nascimento , Rodrigo C. de Lamare , Osman Kukrer

The problem of recovering a signal from its Fourier magnitude is of paramount importance in various fields of engineering and applied physics. Due to the absence of Fourier phase information, some form of additional information is required…

信息论 · 计算机科学 2016-05-25 Kishore Jaganathan , Yonina C. Eldar , Babak Hassibi

In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best $s$-term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\hat{f}} \in \mathbb{C}^N$ of any given input vector…

数值分析 · 数学 2017-06-12 Sami Merhi , Ruochuan Zhang , Mark A. Iwen , Andrew Christlieb

In this work, we explore the constant-Q transform (CQT) for speech emotion recognition (SER). The CQT-based time-frequency analysis provides variable spectro-temporal resolution with higher frequency resolution at lower frequencies. Since…

音频与语音处理 · 电气工程与系统科学 2021-02-09 Premjeet Singh , Goutam Saha , Md Sahidullah

We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities. The proposed method works for any frequency $\omega$, but…

数值分析 · 数学 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Musical onset detection is a key component in any beat tracking system. Existing onset detection methods are based on temporal/spectral analysis, or methods that integrate temporal and spectral information together with statistical…

音频与语音处理 · 电气工程与系统科学 2018-11-29 Nishal Silva , Chathuranga Weeraddana , Carlo Fischione

Time-frequency representations, such as the short-time Fourier transform (STFT), are fundamental tools for analyzing non-stationary signals. However, their ability to achieve sharp localization in both time and frequency is inherently…

信号处理 · 电气工程与系统科学 2026-04-17 David Valdivia , Elsa Cazelles , Cédric Févotte

The problem of approximately computing the $k$ dominant Fourier coefficients of a vector $X$ quickly, and using few samples in time domain, is known as the Sparse Fourier Transform (sparse FFT) problem. A long line of work on the sparse FFT…

数据结构与算法 · 计算机科学 2017-04-12 Volkan Cevher , Michael Kapralov , Jonathan Scarlett , Amir Zandieh

Vertex-frequency analysis, particularly the windowed graph Fourier transform (WGFT), is a significant challenge in graph signal processing. Tight frame theories is known for its low computational complexity in signal reconstruction, while…

信号处理 · 电气工程与系统科学 2024-12-31 Linbo Shang , Zhichao Zhang

The service conditions of wheelset bearings has a direct impact on the safe operation of railway heavy haul freight trains as the key components. However, speed fluctuation of the trains and few fault samples are the two main problems that…

机器学习 · 计算机科学 2025-05-27 Chao He , Hongmei Shi , Ruixin Li , Jianbo Li , ZuJun Yu

In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such a transform is based on the recent theory of slice polyanalytic functions on quaternions.…

复变函数 · 数学 2021-10-15 Antonino De Martino , Kamal Diki

We obtain estimates for the $L^{p}$-norm of the short-time Fourier transform (STFT) for functions in modulation spaces, providing information about the concentration on a given subset of $\mathbb{R}^{2}$, leading to deterministic guarantees…

泛函分析 · 数学 2018-08-08 Luis Daniel Abreu , Michael Speckbacher

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. The sFFT algorithms decrease the runtime and sampling complexity by taking advantage of the signal inherent…

信号处理 · 电气工程与系统科学 2020-12-16 Bin Li , Zhikang Jiang , Jie Chen

The problem of computing the Fourier Transform of a signal whose spectrum is dominated by a small number $k$ of frequencies quickly and using a small number of samples of the signal in time domain (the Sparse FFT problem) has received…

数据结构与算法 · 计算机科学 2017-08-18 Michael Kapralov

Adaptive Local Iterative Filtering (ALIF) is a currently proposed novel time-frequency analysis tool. It has been empirically shown that ALIF is able to separate components and overcome the mode-mixing problem. However, so far its…

数值分析 · 数学 2020-05-12 Antonio Cicone , Hau-Tieng Wu