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A blind source separation method is described to extract sources from data mixtures where the underlying sources are assumed to be sparse and uncorrelated. The approach used is to detect and analyse segments of time where one source exists…

Signal Processing · Electrical Eng. & Systems 2018-02-06 Malcolm Woolfson

In Blind Source Separation (BSS), one estimates sources from data mixtures where the mixing coefficients are unknown. In the particular case of Sparse Component Analysis (SCA), each underlying source exists for only a finite amount of time…

Signal Processing · Electrical Eng. & Systems 2022-08-18 Malcolm Woolfson

Blind source separation (BSS) is one of the most important and established research topics in signal processing and many algorithms have been proposed based on different statistical properties of the source signals. For second-order…

Numerical Analysis · Mathematics 2014-03-11 Wei Liu

We extend frequency-domain blind source separation based on independent vector analysis to the case where there are more microphones than sources. The signal is modelled as non-Gaussian sources in a Gaussian background. The proposed…

Sound · Computer Science 2019-08-08 Robin Scheibler , Nobutaka Ono

Estimating the number of sources impinging on an array of sensors is a well known and well investigated problem. A common approach for solving this problem is to use an information theoretic criterion, such as Minimum Description Length…

Information Theory · Computer Science 2009-11-11 Eran Fishler , H. Vincent Poor

We assume a spatial blind source separation model in which the observed multivariate spatial data is a linear mixture of latent spatially uncorrelated Gaussian random fields containing a number of pure white noise components. We propose a…

Statistics Theory · Mathematics 2024-04-12 Christoph Muehlmann , François Bachoc , Klaus Nordhausen , Mengxi Yi

We consider the problem of adaptive blind separation of two sources from their instantaneous mixtures. We focus on the case where the two sources are not necessarily independent. By analyzing a general form of adaptive algorithms we show…

Signal Processing · Electrical Eng. & Systems 2019-08-08 George V. Moustakides , Feeby Salib , Kalliopi Basioti

We give under weak assumptions a complete combinatorial characterization of identifiability for linear mixtures of finite alphabet sources, with unknown mixing weights and unknown source signals, but known alphabet. This is based on a…

Methodology · Statistics 2017-09-01 Merle Behr , Axel Munk

Blind source separation is a research hotspot in the field of signal processing because it aims to separate unknown source signals from observed mixtures through an unknown transmission channel. A low computational complexity instantaneous…

Signal Processing · Electrical Eng. & Systems 2019-03-08 Pengfei Xu , Yinjie Jia , Zhijian Wang

Blind source separation, i.e. extraction of independent sources from a mixture, is an important problem for both artificial and natural signal processing. Here, we address a special case of this problem when sources (but not the mixing…

Neurons and Cognition · Quantitative Biology 2017-10-20 Cengiz Pehlevan , Sreyas Mohan , Dmitri B. Chklovskii

Source enumeration, the task of estimating the number of sources from the signal received by the array of antennas, is a critical problem in array signal processing. Numerous methods have been proposed to estimate the number of sources…

Signal Processing · Electrical Eng. & Systems 2025-07-03 Gokularam Muthukrishnan , Siva Shanmugam , Sheetal Kalyani

We propose a multi-tone decomposition algorithm that can find the frequencies, amplitudes and phases of the fundamental sinusoids in a noisy observation sequence. Under independent identically distributed Gaussian noise, our method utilizes…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Kaan Gokcesu , Hakan Gokcesu

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

Methodology · Statistics 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

A dictionary learning based audio source classification algorithm is proposed to classify a sample audio signal as one amongst a finite set of different audio sources. Cosine similarity measure is used to select the atoms during dictionary…

Sound · Computer Science 2015-10-28 K V Vijay Girish , T V Ananthapadmanabha , A G Ramakrishnan

Distance correlation is a novel class of multivariate dependence measure, taking positive values between 0 and 1, and applicable to random vectors of arbitrary dimensions, not necessarily equal. It offers several advantages over the…

Computation · Statistics 2024-05-06 Blanca E. Monroy-Castillo , M. A , Jácome , Ricardo Cao

We propose a new blind source separation algorithm based on mixtures of alpha-stable distributions. Complex symmetric alpha-stable distributions have been recently showed to better model audio signals in the time-frequency domain than…

Machine Learning · Statistics 2018-02-13 Nicolas Keriven , Antoine Deleforge , Antoine Liutkus

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

There is an extensive set of methods to determine sparse sources from mixtures where the mixing coefficients are unknown. Each method involves plotting N sets of mixed data against each other in N-dimensional space. In the approach adopted…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Malcolm Woolfson

Recently a blind source separation model was suggested for spatial data together with an estimator based on the simultaneous diagonalisation of two scatter matrices. The asymptotic properties of this estimator are derived here and a new…

Statistics Theory · Mathematics 2020-09-01 François Bachoc , Marc G. Genton , Klaus Nordhausen , Anne Ruiz-Gazen , Joni Virta

Music source separation aims to extract individual sound sources (e.g., vocals, drums, guitar) from a mixed music recording. However, evaluating the quality of separated audio remains challenging, as commonly used metrics like the…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-01 Noah Jaffe , John Ashley Burgoyne
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