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This paper presents a novel phase reconstruction method (only from a given amplitude spectrogram) by combining a signal-processing-based approach and a deep neural network (DNN). To retrieve a time-domain signal from its amplitude…

Sound · Computer Science 2019-03-12 Yoshiki Masuyama , Kohei Yatabe , Yuma Koizumi , Yasuhiro Oikawa , Noboru Harada

Signal reconstruction from its mel-spectrogram is known as mel-spectrogram inversion and has many applications, including speech and foley sound synthesis. In this paper, we propose a mel-spectrogram inversion method based on a rigorous…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-14 Yoshiki Masuyama , Natsuki Ueno , Nobutaka Ono

In this paper, we address the problem of reconstructing a time-domain signal (or a phase spectrogram) solely from a magnitude spectrogram. Since magnitude spectrograms do not contain phase information, we must restore or infer phase…

Signal Processing · Electrical Eng. & Systems 2018-04-09 Keisuke Oyamada , Hirokazu Kameoka , Takuhiro Kaneko , Kou Tanaka , Nobukatsu Hojo , Hiroyasu Ando

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

We propose a novel iterative phase estimation framework, termed multi-source Griffin-Lim algorithm (MSGLA), for speech enhancement (SE) under additive noise conditions. The core idea is to leverage the ad-hoc consistency constraint of…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-04 Chun-Wei Ho , Pin-Jui Ku , Hao Yen , Sabato Marco Siniscalchi , Yu Tsao , Chin-Hui Lee

Diffusion models are receiving a growing interest for a variety of signal generation tasks such as speech or music synthesis. WaveGrad, for example, is a successful diffusion model that conditionally uses the mel spectrogram to guide a…

Sound · Computer Science 2024-02-27 Haocheng Liu , Teysir Baoueb , Mathieu Fontaine , Jonathan Le Roux , Gael Richard

This paper introduces a novel technique for reconstructing the phase of modified spectrograms of audio signals. From the analysis of mixtures of sinusoids we obtain relationships between phases of successive time frames in the…

Sound · Computer Science 2016-05-25 Paul Magron , Roland Badeau , Bertrand David

This paper presents a deep neural network (DNN)-based phase reconstruction from amplitude spectrograms. In audio signal and speech processing, the amplitude spectrogram is often used for processing, and the corresponding phase spectrogram…

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…

Information Theory · Computer Science 2016-05-25 Kishore Jaganathan , Yonina C. Eldar , Babak Hassibi

Recent advances in diffusion models have positioned them as powerful generative frameworks for speech synthesis, demonstrating substantial improvements in audio quality and stability. Nevertheless, their effectiveness in vocoders…

Sound · Computer Science 2025-12-01 Teysir Baoueb , Xiaoyu Bie , Mathieu Fontaine , Gaël Richard

This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal $f \in \C^N$ and a randomly chosen set of frequencies $\Omega$ of mean size $\tau N$. Is it possible to…

Numerical Analysis · Mathematics 2007-05-23 Emmanuel Candes , Justin Romberg , Terence Tao

Phase retrieval is a problem encountered not only in speech and audio processing, but in many other fields such as optics. Iterative algorithms based on non-convex set projections are effective and frequently used for retrieving the phase…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-10 Tal Peer , Simon Welker , Timo Gerkmann

A spatial signal is defined by its evaluations on the whole domain. In this paper, we consider stable reconstruction of real-valued signals with finite rate of innovations (FRI), up to a sign, from their magnitude measurements on the whole…

Information Theory · Computer Science 2018-01-18 Cheng Cheng , Qiyu Sun

Time-frequency audio source separation is usually achieved by estimating the short-time Fourier transform (STFT) magnitude of each source, and then applying a phase recovery algorithm to retrieve time-domain signals. In particular, the…

Sound · Computer Science 2021-02-10 Paul Magron , Pierre-Hugo Vial , Thomas Oberlin , Cédric Févotte

This study investigates phase reconstruction for deep learning based monaural talker-independent speaker separation in the short-time Fourier transform (STFT) domain. The key observation is that, for a mixture of two sources, with their…

Sound · Computer Science 2018-11-26 Zhong-Qiu Wang , Ke Tan , DeLiang Wang

A non-iterative method for the construction of the Short-Time Fourier Transform (STFT) phase from the magnitude is presented. The method is based on the direct relationship between the partial derivatives of the phase and the logarithm of…

Sound · Computer Science 2019-03-27 Zdeněk Průša , Peter Balazs , Peter L. Søndergaard

We describe a new algorithm to solve a particular phase retrieval problem, that has wide applications in audio processing: the reconstruction of a function from its scalogram, that is from the modulus of its wavelet transform. It is a…

Optimization and Control · Mathematics 2017-04-11 Irène Waldspurger

The recovery of a signal from the magnitudes of its transformation, like the Fourier transform, is known as the phase retrieval problem and is of big relevance in various fields of engineering and applied physics. In this paper, we present…

Optimization and Control · Mathematics 2023-06-23 Rossen Nenov , Dang-Khoa Nguyen , Peter Balazs , Radu Ioan Bot

In recent years generative adversarial network (GAN) based models have been successfully applied for unsupervised speech-to-speech conversion.The rich compact harmonic view of the magnitude spectrogram is considered a suitable choice for…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-20 Mohammad Asif Khan , Fabien Cardinaux , Stefan Uhlich , Marc Ferras , Asja Fischer

Sound reconstruction via arbitrary objects has been a popular method in recent years, based on the recording of scattered light from the target object with a high-speed detector. In this work, we demonstrate the use of multi-mode fiber as a…

Instrumentation and Detectors · Physics 2024-05-06 Ege Küçükkömürcü , Berk Nezir Gün , Emre Yüce
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