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Related papers: Model-based STFT phase recovery for audio source s…

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Recently the synchrosqueezed transform (SST) was developed as an empirical mode decomposition (EMD)-like tool to enhance the time-frequency resolution and energy concentration of a multi-component non-stationary signal and provides more…

Numerical Analysis · Mathematics 2020-12-29 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

Phase retrieval aims to recover a signal from magnitude or power spectra measurements. It is often addressed by considering a minimization problem involving a quadratic cost function. We propose a different formulation based on Bregman…

Sound · Computer Science 2020-12-01 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

Most speech enhancement algorithms make use of the short-time Fourier transform (STFT), which is a simple and flexible time-frequency decomposition that estimates the short-time spectrum of a signal. However, the duration of short STFT…

Sound · Computer Science 2015-09-03 Scott Wisdom , Thomas Powers , Les Atlas , James Pitton

The Short-Time Fourier Transform (STFT) has been a staple of signal processing, often being the first step for many audio tasks. A very familiar process when using the STFT is the search for the best STFT parameters, as they often have…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-17 An Zhao , Krishna Subramani , Paris Smaragdis

We consider the phase retrieval problem, in which the observer wishes to recover a $n$-dimensional real or complex signal $\mathbf{X}^\star$ from the (possibly noisy) observation of $|\mathbf{\Phi} \mathbf{X}^\star|$, in which…

Information Theory · Computer Science 2022-10-03 Antoine Maillard , Florent Krzakala , Yue M. Lu , Lenka Zdeborová

We present a variational method for recovering the phase term from the information obtained from phase-shifting methods. First we introduce the new method based on a variational approach and then describe the numerical solution of the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-29 Ricardo Legarda-Saenz , Alejandro Téllez Quiñones , Carlos Brito-Loeza , Arturo Espinosa-Romero

The estimation of glottal flow from a speech waveform is a key method for speech analysis and parameterization. Significant research effort has been made to dissociate the first vocal tract resonance from the glottal formant (the…

Audio and Speech Processing · Electrical Eng. & Systems 2021-06-09 Olivier Perrotin , Ian Vince McLoughlin

In this paper, we use a matrix adaptive filter as the synthesis stage of a Uniform Filter Bank (UFB) to reconstruct the input signal. We first develop the mathematical theory behind it by applying the model of optimal filtering at the…

Signal Processing · Electrical Eng. & Systems 2022-09-23 Sandeep Patel , Ravindra Dhuli , Brejesh Lall

Speaker separation refers to isolating speech of interest in a multi-talker environment. Most methods apply real-valued Time-Frequency (T-F) masks to the mixture Short-Time Fourier Transform (STFT) to reconstruct the clean speech. Hence…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-16 Zhaoheng Ni , Michael I Mandel

In Gaussian model-based multichannel audio source separation, the likelihood of observed mixtures of source signals is parametrized by source spectral variances and by associated spatial covariance matrices. These parameters are estimated…

Sound · Computer Science 2026-04-15 Mahmoud Fakhry , Piergiorgio Svaizer , Maurizio Omologo

This study introduces a short-time Fourier transform-based method for reconstructing signals encoded using modulo analog-to-digital converters with 1-bit folding information. In contrast to existing Fourier-based reconstruction approaches…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Neil Irwin Bernardo

The finite STFT Synchrosqueezing transform is a time-frequency analysis method that can decompose finite complex signals into time-varying oscillatory components. This representation is sparse and invertible, allowing recovery of the…

Numerical Analysis · Mathematics 2017-09-26 Mozhgan Mohammadpour , Bastiaan Kleijn , Rajab Ali Kamyabi Gol

In this paper, all-optical short-time Fourier transform (STFT) based on stimulated Brillouin scattering (SBS) is proposed and further used for real-time time-frequency analysis of different radio frequency (RF) signals. In the proposed…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Pengcheng Zuo , Dong Ma , Yang Chen

This paper proposes APSS, a novel neural speech separation model with parallel amplitude and phase spectrum estimation. Unlike most existing speech separation methods, the APSS distinguishes itself by explicitly estimating the phase…

Sound · Computer Science 2025-09-18 Fei Liu , Yang Ai , Zhen-Hua Ling

The principle of stationary phase (PSP) is re-examined in the context of linear time-frequency (TF) decomposition using Gaussian, gammatone and gammachirp filters at uniform, logarithmic and cochlear spacings in frequency. This necessitates…

Information Theory · Computer Science 2016-11-17 Bernard Mulgrew

Source separation is the process of isolating individual sounds in an auditory mixture of multiple sounds [1], and has a variety of applications ranging from speech enhancement and lyric transcription [2] to digital audio production for…

Sound · Computer Science 2024-12-10 Bradford Derby , Lucas Dunker , Samarth Galchar , Shashank Jarmale , Akash Setti

This paper describes a method for decomposing steady-state instrument data into excitation and formant filter components. The input data, taken from several series of recordings of acoustical instruments is analyzed in the frequency domain,…

Sound · Computer Science 2007-05-23 Ilia Bisnovatyi , Michael J. O'Donnell

This paper introduces a quantum-inspired denoising framework that integrates the Quantum Fourier Transform (QFT) into classical audio enhancement pipelines. Unlike conventional Fast Fourier Transform (FFT) based methods, QFT provides a…

Sound · Computer Science 2025-09-08 Rajeshwar Tripathi , Sahil Tomar , Sandeep Kumar , Monika Aggarwal

Audio source separation is usually achieved by estimating the short-time Fourier transform (STFT) magnitude of each source, and then applying a spectrogram inversion algorithm to retrieve time-domain signals. In particular, the multiple…

Sound · Computer Science 2020-04-22 Paul Magron , Tuomas Virtanen

This paper explores the innovative application of the Fractional Fourier Transform (FrFT) in sound synthesis, highlighting its potential to redefine time-frequency analysis in audio processing. As an extension of the classical Fourier…

Sound · Computer Science 2025-06-12 Esteban Gutiérrez , Rodrigo Cádiz , Carlos Sing Long , Frederic Font , Xavier Serra
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