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This paper presents a performance analysis of the MUltiple SIgnal Classification (MUSIC) algorithm applied on $D$ dimensional single-snapshot spectral estimation while $s$ true frequencies are located on the continuum of a bounded domain.…

Information Theory · Computer Science 2016-11-17 Wenjing Liao

In this paper, we consider the MUltiple SIgnal Classification (MUSIC) algorithm for identifying the locations of small electromagnetic inhomogeneities surrounded by random scatterers. For this purpose, we rigorously analyze the structure of…

Numerical Analysis · Mathematics 2016-02-05 Won-Kwang Park

A class of multivariate spectral representations for real-valued nonstationary random variables is introduced, which is characterised by a general complex Gaussian distribution. In this way, the temporal signal properties -- harmonicity,…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

Time reversal (TR) focusing of ultrasound in granular packings is experimentally investigated. Pulsed elastic waves transmitted from a compressional or shear transducer source are measured by a TR mirror, reversed in time and…

Soft Condensed Matter · Physics 2019-12-18 Maxime Harazi , Yougu Yang , Mathias Fink , Arnaud Tourin , Xiaoping Jia

Time Resolved Correlation (TRC) is a recently introduced light scattering technique that allows to detect and quantify dynamic heterogeneities. The technique is based on the analysis of the temporal evolution of the speckle pattern…

Soft Condensed Matter · Physics 2007-05-23 Agnes Duri , Hugo Bissig , Veronique Trappe , Luca Cipelletti

This article deals with the problem of the statistical performance analysis of the MUSIC ( Multiple Signal Classification ) algorithm which is an eigen decomposition based method for the estimation of the angles of arrival of signals…

Methodology · Statistics 2016-01-25 Antonios Bassias , Anthony Chronopoulos

Time-reversal (TR) symmetry is crucial for understanding a wide range of physical phenomena, and plays a key role in constraining fundamental particle interactions and in classifying phases of quantum matter. In this work, we introduce an…

Statistical Mechanics · Physics 2026-03-23 Kabir Khanna , Abhishek Kumar , Romain Vasseur , Andreas W. W. Ludwig

In this paper, we introduce a new framework for robust multiple signal classification (MUSIC). The proposed framework, called robust measure-transformed (MT) MUSIC, is based on applying a transform to the probability distribution of the…

Methodology · Statistics 2023-07-19 Koby Todros , Alfred O. Hero

We construct cosmological spacetimes with null Kasner-like singularities as purely gravitational solutions with no other background fields turned on. These can be recast as anisotropic plane-wave spacetimes by coordinate transformations. We…

High Energy Physics - Theory · Physics 2009-07-30 Kallingalthodi Madhu , K. Narayan

This paper considers a distributed wave-based sensing system that probes a scene consisting of multiple interacting idealized targets. Each sensor is a collocated transmit-receive pair that is capable of transmitting arbitrary wideband…

Optics · Physics 2015-10-27 Jerry Kim , Margaret Cheney , Eric Mokole

Correlations in music that exist within its waveform are studied. Monophonic wave files of random music are generated and the probability distribution function of time interval between large signal values is analyzed. A power law behavior…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vishnu Sreekumar , Mahendra K. Verma , Gaurav Narain , Venkatesh K. S

Time-reversal (TR) refocusing of waves is one of fundamental principles in wave physics. Using the TR approach, "Time-reversal mirrors" can physically create a time-reversed wave that exactly refocus back, in space and time, to its original…

Fluid Dynamics · Physics 2016-09-23 G. Ducrozet , M. Fink , A. Chabchoub

This paper studies the problem of line spectral estimation in the continuum of a bounded interval with one snapshot of array measurement. The single-snapshot measurement data is turned into a Hankel data matrix which admits the Vandermonde…

Information Theory · Computer Science 2014-09-23 Wenjing Liao , Albert Fannjiang

An important problem in physics concerns the analysis of audio time series generated by transduced acoustic phenomena. Here, we develop a new method to quantify the scaling properties of the local variance of nonstationary time series. We…

Disordered Systems and Neural Networks · Physics 2009-11-10 Heather D. Jennings , Plamen Ch. Ivanov , A. M. Martins , P. C. da Silva , G. M. Viswanathan

Optical Music Recognition (OMR) is an important technology in music and has been researched for a long time. Previous approaches for OMR are usually based on CNN for image understanding and RNN for music symbol classification. In this…

Computation and Language · Computer Science 2023-08-21 Yixuan Li , Huaping Liu , Qiang Jin , Miaomiao Cai , Peng Li

From a time series whose data are embedded in heavy noise, we construct an Hilbert space operator (J-operator) whose discrete spectrum represents the signal while the essential spectrum located on the unit circle, is associated with the…

Data Analysis, Statistics and Probability · Physics 2010-10-01 Luca Perotti , Daniel Vrinceanu , Daniel Bessis

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. The current methods for computational time reversal imaging are based on the null subspace projection operator,…

Data Analysis, Statistics and Probability · Physics 2009-06-16 M. Andrecut

The main purpose of this paper is to study the structure of the well-known non-iterative MUltiple SIgnal Classification (MUSIC) algorithm for identifying the shape of extended electromagnetic inclusions of small thickness located in a…

Mathematical Physics · Physics 2015-04-07 Won-Kwang Park

Transfer learning (TL) approaches have shown promising results when handling tasks with limited training data. However, considerable memory and computational resources are often required for fine-tuning pre-trained neural networks with…

Sound · Computer Science 2023-05-04 Yun-Ning Hung , Chao-Han Huck Yang , Pin-Yu Chen , Alexander Lerch
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