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Using his formulation of the potential theoretic notion of balayage and his deep results about this idea, Beurling gave sufficient conditions for Fourier frames in terms of balayage. The analysis makes use of spectral synthesis, due to…

Functional Analysis · Mathematics 2013-09-04 Enrico Au-Yeung , John J. Benedetto

We generalize the short-time Fourier transform (STFT) formalism for radial velocity extraction to cases where the underlying spectral components are unknown. The method factorizes a spectroscopic time series into principal spectra and…

Earth and Planetary Astrophysics · Physics 2026-02-17 Sahar Shahaf , Barak Zackay

Generative Adversarial Network (GAN) based vocoders are superior in both inference speed and synthesis quality when reconstructing an audible waveform from an acoustic representation. This study focuses on improving the discriminator for…

Sound · Computer Science 2024-04-29 Yicheng Gu , Xueyao Zhang , Liumeng Xue , Haizhou Li , Zhizheng Wu

Music source separation in the time-frequency domain is commonly achieved by applying a soft or binary mask to the magnitude component of (complex) spectrograms. The phase component is usually not estimated, but instead copied from the…

Sound · Computer Science 2021-03-25 Andreas Jansson , Rachel M. Bittner , Nicola Montecchio , Tillman Weyde

This work proposes a multichannel narrow-band speech separation network. In the short-time Fourier transform (STFT) domain, the proposed network processes each frequency independently, and all frequencies use a shared network. For each…

Sound · Computer Science 2022-12-06 Changsheng Quan , Xiaofei Li

In this study, we propose a dense frequency-time attentive network (DeFT-AN) for multichannel speech enhancement. DeFT-AN is a mask estimation network that predicts a complex spectral masking pattern for suppressing the noise and…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-07 Dongheon Lee , Jung-Woo Choi

The standing waves existed in radio telescope data are primarily due to reflections among the instruments, which significantly impact the spectrum quality of the Five-hundred-meter Aperture Spherical radio Telescope (FAST). Eliminating…

Instrumentation and Methods for Astrophysics · Physics 2025-01-09 Chen Xu , Jie Wang , Yingjie Jing , Fujia Li , Hengqian Gan , Ziming Liu , Tiantian Liang , Qingze Chen , Zerui Liu , Zhipeng Hou , Hao Hu , Huijie Hu , Shijie Huang , Peng Jiang , Chuan-Peng Zhang , Yan Zhu

This paper presents FastFit, a novel neural vocoder architecture that replaces the U-Net encoder with multiple short-time Fourier transforms (STFTs) to achieve faster generation rates without sacrificing sample quality. We replaced each…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-19 Won Jang , Dan Lim , Heayoung Park

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…

Numerical Analysis · Mathematics 2022-01-14 Anton Arnold , Sjoerd Geevers , Ilaria Perugia , Dmitry Ponomarev

Recent advances in spatially selective active noise control (SSANC) using multiple microphones have enabled hearables to suppress undesired noise while preserving desired speech from a specific direction. Aiming to achieve minimal speech…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-18 Tong Xiao , Reinhild Roden , Matthias Blau , Simon Doclo

In this paper, we propose a novel separation system for extracting two speech signals from two microphone recordings. Our system combines the blind source separation technique with cepstral smoothing of binary time-frequency masks. The last…

Sound · Computer Science 2026-03-17 Ibrahim Missaoui , Zied Lachiri

We propose a bootstrapping framework to quantify uncertainty in time-frequency representations (TFRs) generated by the short-time Fourier transform (STFT) and the STFT-based synchrosqueezing transform (SST) for oscillatory signals with…

Methodology · Statistics 2026-01-28 Hau-Tieng Wu , Zhou Zhou

Time-frequency scattering is a mathematical transformation of sound waves. Its core purpose is to mimick the way the human auditory system extracts information from its environment. In the context of improving the artificial intelligence of…

Sound · Computer Science 2019-05-22 Vincent Lostanlen

Given a time series of multicomponent measurements x(t), the usual objective of nonlinear blind source separation (BSS) is to find a "source" time series s(t), comprised of statistically independent combinations of the measured components.…

Artificial Intelligence · Computer Science 2015-05-13 David N. Levin

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…

Data Structures and Algorithms · Computer Science 2017-08-18 Michael Kapralov

We address the problem of recovering a signal (up to global phase) from its short-time Fourier transform (STFT) magnitude measurements. This problem arises in several applications, including optical imaging and speech processing. In this…

Information Theory · Computer Science 2015-10-06 Tamir Bendory , Yonina C. Eldar

Source separation and other audio applications have traditionally relied on the use of short-time Fourier transforms as a front-end frequency domain representation step. The unavailability of a neural network equivalent to forward and…

Sound · Computer Science 2017-11-01 Shrikant Venkataramani , Jonah Casebeer , Paris Smaragdis

The classical Fourier analysis of a time signal, in the discrete sense, provides the frequency content of signal under the assumption of periodicity. Although the original signal can be exactly recovered using an inverse transform, the time…

Fluid Dynamics · Physics 2026-01-06 Vilas J. Shinde

The extraction of a desired speech signal from a noisy environment has become a challenging issue. In the recent years, the scientific community has particularly focused on multichannel techniques which are dealt with in this review. In…

Sound · Computer Science 2013-01-01 Adel Hidri , Souad Meddeb , Hamid Amiri

Speech separation refers to extracting each individual speech source in a given mixed signal. Recent advancements in speech separation and ongoing research in this area, have made these approaches as promising techniques for pre-processing…

Machine Learning · Computer Science 2019-12-18 Fahimeh Bahmaninezhad , Shi-Xiong Zhang , Yong Xu , Meng Yu , John H. L. Hansen , Dong Yu
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