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Efficient and accurate detection of subtle motion generated from small objects in noisy environments, as needed for vital sign monitoring, is challenging, but can be substantially improved with magnification. We developed a complex Gabor…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Md Farhan Tasnim Oshim , Toral Surti , Stephanie Carreiro , Deepak Ganesan , Suren Jayasuriya , Tauhidur Rahman

Voiced segments of speech are assumed to be composed of non-stationary acoustic objects which can be described as stationary response of a non-stationary fundamental drive (FD) process and which are furthermore suited to reconstruct the…

Sound · Computer Science 2007-05-23 Friedhelm R. Drepper

We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programming. We derive averaged phase dynamics from the mathematical…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Yuzuru Kato , Anatoly Zlotnik , Jr-Shin Li , Hiroya Nakao

We propose a variational superposed Gaussian approximation (VSGA) for dynamical solutions of Langevin equations subject to applied signals, determining time-dependent parameters of superposed Gaussian distributions by the variational…

Statistical Mechanics · Physics 2015-05-20 Yoshihiko Hasegawa

Delay-and-sum (DAS) algorithms are widely used for beamforming in linear array photoacoustic imaging systems and are characterized by fast execution. However, these algorithms suffer from various drawbacks like low resolution, low contrast,…

Medical Physics · Physics 2021-07-29 Souradip Paul , Subhamoy Mandal , Mayanglambam Suheshkumar Singh

The short-time Fourier transform (STFT) is a time-frequency representation widely used in applications, for example in audio signal processing. Recently it has been shown that not only the amplitude, but also the phase of this…

Functional Analysis · Mathematics 2015-11-20 Peter Balazs , Dominik Bayer , Florent Jaillet , Peter Søndergaard

Quantum phase estimation is a paradigmatic problem in quantum sensing andmetrology. Here we show that adaptive methods based on classical machinelearning algorithms can be used to enhance the precision of quantum phase estimation when noisy…

Quantum Physics · Physics 2021-09-01 Nelson Filipe Costa , Yasser Omar , Aidar Sultanov , Gheorghe Sorin Paraoanu

Neural vocoders are now being used in a wide range of speech processing applications. In many of those applications, the vocoder can be the most complex component, so finding lower complexity algorithms can lead to significant practical…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-06 Jean-Marc Valin , Ahmed Mustafa , Jan Büthe

The time-frequency content of a signal can be measured by the Gabor transform or windowed Fourier transform. This is a function defined on phase space that is computed by taking the Fourier transform of the product of the signal against a…

funct-an · Mathematics 2008-02-03 Jayakumar Ramanathan , Pankaj Topiwala

Nonlinear models are known to provide excellent performance in real-world applications that often operate in non-ideal conditions. However, such applications often require online processing to be performed with limited computational…

Machine Learning · Computer Science 2024-10-28 Danilo Comminiello , Alireza Nezamdoust , Simone Scardapane , Michele Scarpiniti , Amir Hussain , Aurelio Uncini

We introduce the Latent Fourier Transform (LatentFT), a framework that provides novel frequency-domain controls for generative music models. LatentFT combines a diffusion autoencoder with a latent-space Fourier transform to separate musical…

Sound · Computer Science 2026-04-21 Mason Wang , Cheng-Zhi Anna Huang

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

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

Signal Processing · Electrical Eng. & Systems 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

In this paper, we propose a novel approach for generating music based on an artificial intelligence (AI) system. We analyze the features of music and use them to fit and predict the music. The fractional Fourier transform (FrFT) and the…

Sound · Computer Science 2026-04-21 Li Ya , Chen Wei , Li Xiulai , Yu Lei , Deng Xinyi , Chen Chaofan

We present a new method, Non-Stationary Forward Flux Sampling, that allows efficient simulation of rare events in both stationary and non-stationary stochastic systems. The method uses stochastic branching and pruning to achieve uniform…

Molecular Networks · Quantitative Biology 2015-06-03 Nils B. Becker , Rosalind J. Allen , Pieter Rein ten Wolde

Most digital audio tampering detection methods based on electrical network frequency (ENF) only utilize the static spatial information of ENF, ignoring the variation of ENF in time series, which limit the ability of ENF feature…

Sound · Computer Science 2022-08-26 Chunyan Zeng , Shuai Kong , Zhifeng Wang , Xiangkui Wan , Yunfan Chen

Time series forecasting is critical for decision-making across dynamic domains such as energy, finance, transportation, and cloud computing. However, real-world time series often exhibit non-stationarity, including temporal distribution…

Machine Learning · Computer Science 2025-12-01 Junkai Lu , Peng Chen , Chenjuan Guo , Yang Shu , Meng Wang , Bin Yang

Spectral interference, the frequency counterpart of the beating phenomenon in the time domain, can severely distort time-frequency representations (TFRs) in physical applications. We study this phenomenon for the short-time Fourier…

Classical Analysis and ODEs · Mathematics 2026-01-19 Shrikant Chand , James Nolen , Hau-Tieng Wu

This paper introduces a new time-frequency representation method for biomedical signals: the dyadic aggregated autoregressive (DASAR) model. Signals, such as electroencephalograms (EEGs) and functional near-infrared spectroscopy (fNIRS),…

Signal Processing · Electrical Eng. & Systems 2021-05-24 Marco A. Pinto-Orellana , Habib Sherkat , Peyman Mirtaheri , Hugo L. Hammer

Modern compression systems use linear transformations in their encoding and decoding processes, with transforms providing compact signal representations. While multiple data-dependent transforms for image/video coding can adapt to diverse…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Alessandro Gnutti , Fabrizio Guerrini , Riccardo Leonardi , Antonio Ortega