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Related papers: Non-colocated Time-Reversal MUSIC: High-SNR Distri…

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In recent years, deep neural networks (DNNs) based approaches have achieved the start-of-the-art performance for music source separation (MSS). Although previous methods have addressed the large receptive field modeling using various…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-05 Lianwu Chen , Xiguang Zheng , Chen Zhang , Liang Guo , Bing Yu

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

The zeros of the spectrogram have proven to be a relevant feature to describe the time-frequency structure of a signal, originated by the destructive interference between components in the time-frequency plane. In this work, a…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Juan M. Miramont , François Auger , Marcelo A. Colominas , Nils Laurent , Sylvain Meignen

We consider an inverse scattering problem for time-harmonic acoustic or electromagnetic waves. The goal is to localize several small penetrable objects embedded inside an otherwise homogeneous background medium from observations of far…

Numerical Analysis · Mathematics 2017-04-05 Roland Griesmaier , Christian Schmiedecke

In this paper, we revisit one-channel time reversal (TR) experiments through multiple scattering media in the framework of the self-consistent multiple scattering theory. The hyper resolution and the self-averaging property are retrieved.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Julien P De Rosny , Arnaud Tourin , Arnaud Derode , Bart Van Tiggelen , Mathias Fink

The concept of time reversal (TR) of scalar wave is reexamined from basic principles. Five different time reversal mirrors (TRM) are introduced and their relations are analyzed. For the boundary behavior, it is shown that for paraxial wave…

Optics · Physics 2015-05-13 Albert C. Fannjiang

The characterization of non-stationary signals requires joint time and frequency information. However, time (t) and frequency (omega) being non-commuting variables there cannot be a joint probability density in the (t,omega) plane and the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. I. Man'ko , R. Vilela Mendes

The high computational complexity of the multiple signal classification (MUSIC) algorithm is mainly caused by the subspace decomposition and spectrum search, especially for frequent real-time applications or massive sensors. In this paper,…

Signal Processing · Electrical Eng. & Systems 2025-06-16 Yiming Fang , Li Chen , Ang Chen , Weidong Wang

A new array signal reconstruction and signal-channel DOA estimation method based on TMLA by nonuniform period modulation are proposed. By using non-uniform period modulation, the harmonic component produced by different elements could be…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Kebin Liu , Lening Zhang , Qingkui Zhan , Chong He

Detection of the number of signals corrupted by high-dimensional noise is a fundamental problem in signal processing and statistics. This paper focuses on a general setting where the high-dimensional noise has an unknown complicated…

Statistics Theory · Mathematics 2022-05-16 Xiucai Ding , Fan Yang

We introduce the joint time-frequency scattering transform, a time shift invariant descriptor of time-frequency structure for audio classification. It is obtained by applying a two-dimensional wavelet transform in time and log-frequency to…

Sound · Computer Science 2018-08-06 Joakim Andén , Vincent Lostanlen , Stéphane Mallat

Multi-spectral computed tomography is an emerging technology for the non-destructive identification of object materials and the study of their physical properties. Applications of this technology can be found in various scientific and…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Christian Kehl , Wail Mustafa , Jan Kehres , Anders Bjorholm Dahl , Ulrik Lund Olsen

Thanks to a Multiple Scattering Theory algorithm, we present a way to focus energy at the deep subwavelength scale, from the far-field, inside a cubic disordered bubble cloud by using broadband Time Reversal (TR). We show that the…

Soft Condensed Matter · Physics 2015-10-26 Maxime Lanoy , Romain Pierrat , Fabrice Lemoult , Mathias Fink , Valentin Leroy , Arnaud Tourin

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

The concept of time series irreversibility -- the degree by which the statistics of signals are not invariant under time reversal -- naturally appears in non-equilibrium physics in stationary systems which operate away from equilibrium and…

Physics and Society · Physics 2020-08-05 Alfredo González-Espinoza , Gustavo Martínez-Mekler , Lucas Lacasa

Distinct striation patterns are observed in the spectrograms of speech and music. This motivated us to propose three novel time-frequency features for speech-music classification. These features are extracted in two stages. First, a preset…

Audio and Speech Processing · Electrical Eng. & Systems 2018-11-06 Mrinmoy Bhattacharjee , S. R. M. Prasanna , Prithwijit Guha

Discrete multiple signal classification (MUSIC) with its low computational cost and mild condition requirement becomes a significant noniterative algorithm for joint sparse recovery (JSR). However, it fails in rank defective problem caused…

Information Theory · Computer Science 2017-05-29 Zaidao Wen , Biao Hou , Licheng Jiao

We consider the response of a finite string to white noise and obtain the exact time-dependent spectrum. The complete exact solution is obtained, that is, both the transient and steady-state solution. To define the time-varying spectrum we…

Classical Physics · Physics 2025-04-18 Lorenzo Galleani , Leon Cohen

We introduce the Gradient-MUSIC algorithm for estimating the unknown frequencies and amplitudes of a nonharmonic signal from noisy time samples. While the classical MUSIC algorithm performs a computationally expensive search over a fine…

Information Theory · Computer Science 2025-10-22 Albert Fannjiang , Weilin Li , Wenjing Liao

The long sampling time of diffusion models remains a significant bottleneck, which can be mitigated by reducing the number of diffusion time steps. However, the quality of samples with fewer steps is highly dependent on the noise schedule,…

Machine Learning · Computer Science 2025-06-03 Khaled Kahouli , Winfried Ripken , Stefan Gugler , Oliver T. Unke , Klaus-Robert Müller , Shinichi Nakajima