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Nonstationary signals are commonly analyzed and processed in the time-frequency (T-F) domain that is obtained by the discrete Gabor transform (DGT). The T-F representation obtained by DGT is spread due to windowing, which may degrade the…

Signal Processing · Electrical Eng. & Systems 2021-05-10 Tsubasa Kusano , Kohei Yatabe , Yasuhiro Oikawa

Many real-world time series exhibit strong periodic structures arising from physical laws, human routines, or seasonal cycles. However, modern deep forecasting models often fail to capture these recurring patterns due to spectral bias and a…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Lijun Sun

This paper addresses the challenges of wideband signal beamforming in radar systems and proposes a new calibration method. Due to operating conditions, the frequency dependent characteristics of the system can be changed, and amplitude,…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Hyung-Woo Kim , Jin-woo Kim , Jin-ha Kim , JaeYoung Choi , Sangpyo Hong , Byungkwan Kim

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 focuses on recognizing dialed numbers in a touch-tone telephone system based on the Dual Tone MultiFrequency (DTMF) signaling technique with analysis of stochastic aspects during the noise and random duration of characters. Each…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Liqiang Yu , Chen Li , Bo Liu , Chang Che

Unsupervised anomalous sound detection aims to detect unknown abnormal sounds of machines from normal sounds. However, the state-of-the-art approaches are not always stable and perform dramatically differently even for machines of the same…

Sound · Computer Science 2022-05-02 Youde Liu , Jian Guan , Qiaoxi Zhu , Wenwu Wang

The synchrosqueezing transform (SST) was developed recently to separate the components of non-stationary multicomponent signals. The continuous wavelet transform-based SST (WSST) reassigns the scale variable of the continuous wavelet…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Jian Lu , Qingtang Jiang , Lin Li

This work takes the first steps towards solving the "phaseless subspace tracking" (PST) problem. PST involves recovering a time sequence of signals (or images) from phaseless linear projections of each signal under the following structural…

Machine Learning · Computer Science 2018-09-13 Seyedehsara Nayer , Namrata Vaswani

Time-frequency (TF) representations of time series are intrinsically subject to the boundary effects. As a result, the structures of signals that are highlighted by the representations are garbled when approaching the boundaries of the TF…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Adrien Meynard , Hau-Tieng Wu

Frame Synchronization (FS) is required in several communication standards in order to recover the individual frames that have been aggregated in a burst. This paper proposes a low-delay and reducedcomplexity Sliding Trellis (ST)-based FS…

Networking and Internet Architecture · Computer Science 2016-11-15 Usman Ali , Pierre Duhamel , Michel Kieffer

We describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions, recently introduced in signal analysis…

chao-dyn · Physics 2009-10-31 Christophe Baudet , Olivier Michel , William J. Williams

This technical note is on digital filters for the high-fidelity estimation of a sinusoidal signal's frequency in the presence of additive noise. The complex noise is assumed to be white (i.e. uncorrelated) however it need not be Gaussian.…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Hugh Lachlan Kennedy

Real life signals are in general non--stationary and non--linear. The development of methods able to extract their hidden features in a fast and reliable way is of high importance in many research fields. In this work we tackle the problem…

Numerical Analysis · Mathematics 2018-10-26 Antonio Cicone , Haomin Zhou

To enhance the accuracy and robustness of PM$_{2.5}$ concentration forecasting, this paper introduces FALNet, a Frequency-Aware LSTM Network that integrates frequency-domain decomposition, temporal modeling, and attention-based refinement.…

Machine Learning · Computer Science 2025-04-16 Jiahui Lu , Shuang Wu , Zhenkai Qin , Guifang Yang

We consider the most general case of source clock frequency recovery (SCFR) in packet networks, i.e., asynchronous SCFR through aperiodic packet streams, where there is neither a common reference clock nor any relation between packet…

Networking and Internet Architecture · Computer Science 2013-08-20 Kyeong Soo Kim

We generalize the short-time Fourier transform (STFT) formalism for radial velocity extraction to cases where the underlying spectral components are unknown. The method factorizes a spectroscopic time series into principal spectra and…

Earth and Planetary Astrophysics · Physics 2026-02-17 Sahar Shahaf , Barak Zackay

The problem of computing the Fourier Transform of a signal whose spectrum is dominated by a small number $k$ of frequencies quickly and using a small number of samples of the signal in time domain (the Sparse FFT problem) has received…

Data Structures and Algorithms · Computer Science 2017-08-18 Michael Kapralov

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

We consider the problem of phase retrieval from magnitudes of short-time Fourier transform (STFT) measurements. It is well-known that signals are uniquely determined (up to global phase) by their STFT magnitude when the underlying window…

Functional Analysis · Mathematics 2021-01-07 Rima Alaifari , Matthias Wellershoff

In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best $s$-term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\hat{f}} \in \mathbb{C}^N$ of any given input vector…

Numerical Analysis · Mathematics 2017-06-12 Sami Merhi , Ruochuan Zhang , Mark A. Iwen , Andrew Christlieb