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Neural source-filter (NSF) models are deep neural networks that produce waveforms given input acoustic features. They use dilated-convolution-based neural filter modules to filter sine-based excitation for waveform generation, which is…

Audio and Speech Processing · Electrical Eng. & Systems 2019-08-28 Xin Wang , Junichi Yamagishi

Recently the study of modeling a non-stationary signal as a superposition of amplitude and frequency-modulated Fourier-like oscillatory modes has been a very active research area. The synchrosqueezing transform (SST) is a powerful method…

Numerical Analysis · Mathematics 2018-12-31 Haiyan Cai , Qingtang Jiang , Lin Li , Bruce W. Suter

This paper presents a method developed for finding sinusoidal components within a nonlinear non-stationary time-series data using Genetic Algorithm (GA) (a global optimization technique). It is called Search-Enhanced Instantaneous Frequency…

Optimization and Control · Mathematics 2015-07-14 Phen Chiak See , Marta Molinas

In this paper, we present a vocoder-free framework for audio super-resolution that employs a flow matching generative model to capture the conditional distribution of complex-valued spectral coefficients. Unlike conventional two-stage…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-06 Woongjib Choi , Sangmin Lee , Hyungseob Lim , Hong-Goo Kang

This paper introduces a novel time-frequency distribution, referred to as the Two-Dimensional Non-Separable Quadratic Phase Wigner Distribution (2D-NSQPWD), formulated within the framework of the Two-Dimensional Non-Separable Quadratic…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Mukul Chauhan , Waseem Z. Lone , Amit K. Verma

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…

Signal Processing · Electrical Eng. & Systems 2026-04-17 David Valdivia , Elsa Cazelles , Cédric Févotte

We introduce the probabilistic sequential matrix factorization (PSMF) method for factorizing time-varying and non-stationary datasets consisting of high-dimensional time-series. In particular, we consider nonlinear Gaussian state-space…

Machine Learning · Statistics 2021-03-19 Ömer Deniz Akyildiz , Gerrit J. J. van den Burg , Theodoros Damoulas , Mark F. J. Steel

The time-frequency map (TFM) is frequently used in condition monitoring, necessitating further processing to select an informative frequency band (IFB) or directly detect damage. However, selecting an IFB is challenging due to the…

Signal Processing · Electrical Eng. & Systems 2026-04-28 Anna Michalak , Justyna Hebda-Sobkowicz , Anil Kumar , Radoslaw Zimroz , Rafal Zdunek , Agnieszka Wylomanska

Oscillatory processes are central for the understanding of the neural bases of cognition and behaviour. To analyse these processes, time-frequency (TF) decomposition methods are applied and non-parametric cluster-based statistical procedure…

Quantitative Methods · Quantitative Biology 2018-01-30 Christian Beste , Daniel Kaping , Tzvetomir Tzvetanov

This paper introduces a new kind of seasonal fractional autoregressive process (SFAR) driven by fractional Gaussian noise (fGn). The new model includes a standard seasonal AR model and fGn. {The estimation of the parameters of this new…

Applications · Statistics 2025-04-01 Chunhao Cai , Yiwu Shang

Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting…

Signal Processing · Electrical Eng. & Systems 2024-02-09 Yunlong Ma , Gang Yu , Tianran Lin , Qingtang Jiang

The graph fractional Fourier transform (GFRFT) applies a single global fractional order to all graph frequencies, which restricts its adaptability to diverse signal characteristics across the spectral domain. To address this limitation, in…

Signal Processing · Electrical Eng. & Systems 2025-08-01 Manjun Cui , Zhichao Zhang , Wei Yao

Inspired by recent successes of deep learning in computer vision, we propose a novel framework for encoding time series as different types of images, namely, Gramian Angular Summation/Difference Fields (GASF/GADF) and Markov Transition…

Machine Learning · Computer Science 2015-06-02 Zhiguang Wang , Tim Oates

Much work over the last 25 years has demonstrated that the interface-specific, alloptical technique, vibrational sum frequency generation (v-SFG) spectroscopy, is often uniquely capable of characterizing the structure and dynamics of…

Optics · Physics 2018-11-14 Martin Thämer , R. Kramer Campen , Martin Wolf

Classical phasor analysis is fundamentally limited to sinusoidal single-frequency conditions, which poses challenges when working in the presence of harmonics. Furthermore, the conventional solution, which consists of decomposing signals…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Javier Castillo-Martínez , Raul Baños , Francisco G. Montoya

Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for…

Information Theory · Computer Science 2015-06-23 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

In this paper, a speech enhancement method based on noise compensation performed on short time magnitude as well phase spectra is presented. Unlike the conventional geometric approach (GA) to spectral subtraction (SS), here the noise…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-09 Md Tauhidul Islam , Udoy Saha , K. T. Shahid , Ahmed Bin Hussain , Celia Shahnaz

This study introduces the Bragg Frequency Convertor, a spatial-temporal-periodic grating that extends the concept of conventional Bragg gratings into the dynamic domain to achieve pure parametric frequency conversion. By time-modulating…

Optics · Physics 2026-03-10 Sajjad Taravati

Matched filters are widely used to localise signal patterns due to their high efficiency and interpretability. However, their effectiveness deteriorates for low signal-to-noise ratio (SNR) signals, such as those recorded on edge devices,…

Signal Processing · Electrical Eng. & Systems 2025-09-01 Haozhe Tian , Qiyu Rao , Nina Moutonnet , Pietro Ferraro , Danilo Mandic

We use time-frequency methods for the study of Fourier Integral operators (FIOs). In this paper we shall show that Gabor frames provide very efficient representations for a large class of FIOs. Indeed, similarly to the case of shearlets and…

Analysis of PDEs · Mathematics 2016-06-28 Elena Cordero , Fabio Nicola , Luigi Rodino
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