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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 propose an optimization-based method for reconstructing a time-domain signal from a low-dimensional spectral representation such as a mel-spectrogram. Phase reconstruction has been studied to reconstruct a time-domain signal from the…

Sound · Computer Science 2023-07-25 Yoshiki Masuyama , Natsuki Ueno , Nobutaka Ono

The concept of spectral relative entropy rate is introduced for jointly stationary Gaussian processes. Using classical information-theoretic results, we establish a remarkable connection between time and spectral domain relative entropy…

Optimization and Control · Mathematics 2011-09-30 Augusto Ferrante , Chiara Masiero , Michele Pavon

The problem of searching for an unknown object occurs in important applications ranging from security, medicine and defense. Sensors with the capability to process information rapidly require adaptive algorithms to control their search in…

Information Theory · Computer Science 2015-08-18 Huanyu Ding , David A. Castañón

Test-time adaptation (TTA) refers to adapting a trained model to a new domain during testing. Existing TTA techniques rely on having multiple test images from the same domain, yet this may be impractical in real-world applications such as…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Haoyu Dong , Nicholas Konz , Hanxue Gu , Maciej A. Mazurowski

A new approach for the analysis of nonstationary signals is proposed, with a focus on audio applications. Following earlier contributions, nonstationarity is modeled via stationarity-breaking operators acting on Gaussian stationary random…

Audio and Speech Processing · Electrical Eng. & Systems 2018-08-24 Adrien Meynard , Bruno Torrésani

The short-time Fourier transform (STFT) usually computes the same number of frequency components as the frame length while overlapping adjacent time frames by more than half. As a result, the number of components of a spectrogram matrix…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Daichi Kitahara

This paper studies several aspects of signal reconstruction of sampled data in spaces of bandlimited functions. In the first part, signal spaces are characterized in which the classical sampling series uniformly converge, and we investigate…

Information Theory · Computer Science 2014-10-23 Holger Boche , Volker Pohl

In this work, we propose a time-varying wave-shape extraction algorithm based on a modified version of the adaptive non-harmonic model for non-stationary signals. The model codifies the time-varying wave-shape information in the relative…

Signal Processing · Electrical Eng. & Systems 2023-09-28 Joaquin Ruiz , Gastón Schlotthauer , Leandro Vignolo , Marcelo A. Colominas

The theoretical basis for conventional acquisition of bandlimited signals typically relies on uniform time sampling and assumes infinite-precision amplitude values. In this paper, we explore signal representation and recovery based on…

Signal Processing · Electrical Eng. & Systems 2020-02-10 Pablo Martínez-Nuevo , Hsin-Yu Lai , Alan V. Oppenheim

The data analysis of space-based gravitational wave detectors like Taiji faces significant challenges from non-stationary noise, which compromises the efficacy of traditional frequency-domain analysis. This work proposes a unified framework…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Minghui Du , Ziren Luo , Peng Xu

Rational approximation schemes for reconstructing periodic signals from samples with poorly separated spectral content are described. These methods are automatic and adaptive, requiring no tuning or manual parameter selection. Collectively,…

Numerical Analysis · Mathematics 2021-12-10 Heather Wilber , Anil Damle , Alex Townsend

This paper investigates the problem of sampling and reconstructing bandpass signals using time encoding machine(TEM). It is shown that the sampling in principle is equivalent to periodic non-uniform sampling (PNS). Then the TEM parameters…

Information Theory · Computer Science 2023-02-16 Zhong Liu , Feng Xi , Shengyao Chen

Seismic attributes calculated by conventional methods are susceptible to noise. Conventional filtering reduces the noise in the cost of losing the spectral bandwidth. The challenge of having a high-resolution and robust signal processing…

Geophysics · Physics 2020-12-02 M. Kazemnia Kakhki , W. J. Mansur , K. Aghazadeh

We propose a context-adaptive entropy model for use in end-to-end optimized image compression. Our model exploits two types of contexts, bit-consuming contexts and bit-free contexts, distinguished based upon whether additional bit…

Image and Video Processing · Electrical Eng. & Systems 2019-05-07 Jooyoung Lee , Seunghyun Cho , Seung-Kwon Beack

Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny time-step across the entire computational domain when using…

Numerical Analysis · Mathematics 2024-09-27 Marcus J. Grote , Simon R. J. Michel , Stefan A. Sauter

Short-time Fourier transform (STFT) is the most common window-based approach for analyzing the spectrotemporal dynamics of time series. To mitigate the effects of high variance on the spectral estimates due to finite-length, independent…

Applications · Statistics 2022-01-19 Andrew H. Song , Seong-Eun Kim , Emery N. Brown

A time-frequency diagram is a commonly used visualization for observing the time-frequency distribution of radio signals and analyzing their time-varying patterns of communication states in radio monitoring and management. While it excels…

Signal Processing · Electrical Eng. & Systems 2022-10-03 Ying Zhao , Luhao Ge , Huixuan Xie , Genghuai Bai , Zhao Zhang , Qiang Wei , Yun Lin , Yuchao Liu , Fangfang Zhou

The Short-Time Fourier Transform (STFT) has been a staple of signal processing, often being the first step for many audio tasks. A very familiar process when using the STFT is the search for the best STFT parameters, as they often have…

Audio and Speech Processing · Electrical Eng. & Systems 2021-05-17 An Zhao , Krishna Subramani , Paris Smaragdis

Time-frequency analysis for non-linear and non-stationary signals is extraordinarily challenging. To capture features in these signals, it is necessary for the analysis methods to be local, adaptive and stable. In recent years,…

Numerical Analysis · Mathematics 2015-10-26 Antonio Cicone , Jingfang Liu , Haomin Zhou