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We propose an efficient method to estimate source power spectral densities (PSDs) in a multi-source reverberant environment using a spherical microphone array. The proposed method utilizes the spatial correlation between the spherical…

Sound · Computer Science 2018-05-21 Abdullah Fahim , Prasanga N. Samarasinghe , Thushara D. Abhayapala

The problem of recovering a one-dimensional signal from its Fourier transform magnitude, called Fourier phase retrieval, is ill-posed in most cases. We consider the closely-related problem of recovering a signal from its phaseless…

Information Theory · Computer Science 2017-07-25 Tamir Bendory , Yonina C. Eldar , Nicolas Boumal

In this paper, we propose an efficient technique for estimating individual power spectral density (PSD) components, i.e., PSD of each desired sound source as well as of noise and reverberation, in a multi-source reverberant sound scene with…

Sound · Computer Science 2018-05-17 Abdullah Fahim , Prasanga N. Samarasinghe , Thushara D. Abhayapala

For audio source separation applications, it is common to estimate the magnitude of the short-time Fourier transform (STFT) of each source. In order to further synthesizing time-domain signals, it is necessary to recover the phase of the…

Sound · Computer Science 2018-02-28 Paul Magron , Roland Badeau , Bertrand David

Power spectral density (PSD) estimates of various microphone signal components are essential to many speech enhancement procedures. As speech is highly non-nonstationary, performance improvements may be gained by maintaining time-variations…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-21 Thomas Dietzen , Marc Moonen , Toon van Waterschoot

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

Prediction of late reverberation component using multi-channel linear prediction (MCLP) in short-time Fourier transform (STFT) domain is an effective means to enhance reverberant speech. Traditionally, a speech power spectral density (PSD)…

Audio and Speech Processing · Electrical Eng. & Systems 2018-12-05 Srikanth Raj Chetupalli , Thippur V. Sreenivas

One of the biggest challenges in multi-microphone applications is the estimation of the parameters of the signal model such as the power spectral densities (PSDs) of the sources, the early (relative) acoustic transfer functions of the…

Audio and Speech Processing · Electrical Eng. & Systems 2018-10-16 Andreas I. Koutrouvelis , Richard C. Hendriks , Richard Heusdens , Jesper Jensen

Relative impulse responses between microphones are usually long and dense due to the reverberant acoustic environment. Estimating them from short and noisy recordings poses a long-standing challenge of audio signal processing. In this paper…

Sound · Computer Science 2016-11-17 Zbynek Koldovsky , Jiri Malek , Sharon Gannot

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

We consider the classical 1D phase retrieval problem. In order to overcome the difficulties associated with phase retrieval from measurements of the Fourier magnitude, we treat recovery from the magnitude of the short-time Fourier transform…

Information Theory · Computer Science 2015-06-23 Yonina C. Eldar , Pavel Sidorenko , Dustin G. Mixon , Shaby Barel , Oren Cohen

This paper addresses the problem of under-determinded speech source separation from multichannel microphone singals, i.e. the convolutive mixtures of multiple sources. The time-domain signals are first transformed to the short-time Fourier…

Sound · Computer Science 2019-04-11 Xiaofei Li , Laurent Girin , Radu Horaud

The problem of imaging extended targets (sources or scatterers) is formulated in the framework of compressed sensing with emphasis on subwavelength resolution. The proposed formulation of the problems of inverse source/scattering is…

Optics · Physics 2009-09-15 Albert C. Fannjiang

In multi-photon microscopy (MPM), a recent in-vivo fluorescence microscopy system, the task of image restoration can be decomposed into two interlinked inverse problems: firstly, the characterization of the Point Spread Function (PSF) and…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Julien Ajdenbaum , Emilie Chouzenoux , Claire Lefort , Ségolène Martin , Jean-Christophe Pesquet

A method for estimation of direct-to-reverberant ratio (DRR) using a microphone array is proposed. The proposed method estimates the power spectral density (PSD) of the direct sound and the reverberation using the algorithm \textit{PSD…

Sound · Computer Science 2015-11-02 Yusuke Hioka , Kenta Niwa

Estimating the position of a speech source based on time-differences-of-arrival (TDOAs) is often adversely affected by background noise and reverberation. A popular method to estimate the TDOA between a microphone pair involves maximizing a…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-28 Klaus Brümann , Kouei Yamaoka , Nobutaka Ono , Simon Doclo

We propose a method using a long short-term memory (LSTM) network to estimate the noise power spectral density (PSD) of single-channel audio signals represented in the short time Fourier transform (STFT) domain. An LSTM network common to…

Signal Processing · Electrical Eng. & Systems 2020-11-11 Xiaofei Li , Simon Leglaive , Laurent Girin , Radu Horaud

Given underdetermined measurements of a Positive Semi-Definite (PSD) matrix $X$ of known low rank $K$, we present a new algorithm to estimate $X$ based on recent advances in non-convex optimization schemes. We apply this in particular to…

Optimization and Control · Mathematics 2020-01-29 Marcus Carlsson , Daniele Gerosa

Least-squares reverse time migration is well-known for its capability to generate artifact-free true-amplitude subsurface images through fitting observed data in the least-squares sense. However, when applied to realistic imaging problems,…

Geophysics · Physics 2020-03-04 Mengmeng Yang , Zhilong Fang , Philipp Witte , Felix J. Herrmann

High-resolution time-frequency (TF) analysis plays crucial role in characterizing multicomponent signal (MCSs) and estimating oscillatory properties. Linear time-frequency representations (TFRs) such as classical short-time Fourier…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Rayyan Abdalla
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