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We present a parameter-decoupled superresolution framework for estimating sub-wavelength separations of passive two-point sources without requiring prior knowledge or control of the source. Our theoretical foundation circumvents the need to…

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

Finding sparse solutions of underdetermined systems of linear equations is a fundamental problem in signal processing and statistics which has become a subject of interest in recent years. In general, these systems have infinitely many…

Machine Learning · Statistics 2010-09-21 Arash Ali Amini , Massoud Babaie-Zadeh , Christian Jutten

Accurate channel impulse response (CIR) is required for coherent detection and it can also help improve communication quality of service in next-generation wireless communication systems. One of the advanced systems is multi-input…

Information Theory · Computer Science 2013-02-07 Guan Gui , Wei Peng , Fumiyuki Adachi

A unified view of sparse signal processing is presented in tutorial form by bringing together various fields. For each of these fields, various algorithms and techniques, which have been developed to leverage sparsity, are described…

Information Theory · Computer Science 2009-02-12 F. Marvasti , A. Amini , F. Haddadi , M. Soltanolkotabi , B. H. Khalaj , A. Aldroubi , S. Holm , S. Sanei , J. Chambers

We study the problem of recovering the underlining sparse signals from clean or noisy phaseless measurements. Due to the sparse prior of signals, we adopt an L0regularized variational model to ensure only a small number of nonzero elements…

Optimization and Control · Mathematics 2016-12-09 Yuping Duan , Chunlin Wu , Zhi-Feng Pang , Huibin Chang

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

This paper presents a novel approach for estimating the modes of an observed non-stationary mixture signal. A link is first established between the short-time Fourier transform and the sparse sampling theory, where the observations are…

Numerical Analysis · Mathematics 2022-12-23 Quentin Legros , Dominique Fourer

Underdetermined Blind Source Separation(UBSS) is an important issue, for sparse signals, a novel two-step approach for UBSS based on the law of large numbers and minimum intersection angle rule (LM method) is presented. In the first step,…

Signal Processing · Electrical Eng. & Systems 2018-10-08 Xu Peng-fei , Jia Yin-jie , Wang Zhi-jian

We consider the joint estimation of multipath channels obtained with a set of receiving antennas and uniformly probed in the frequency domain. This scenario fits most of the modern outdoor communication protocols for mobile access or…

Systems and Control · Computer Science 2012-04-23 Y. Barbotin , M. Vetterli

Blind Source Separation is a widely used technique to analyze multichannel data. In many real-world applications, its results can be significantly hampered by the presence of unknown outliers. In this paper, a novel algorithm coined rGMCA…

Applications · Statistics 2016-04-26 Cecile Chenot , Jerome Bobin , Jeremy Rapin

The instantaneous underdetermined audio source separation problem of K-sensors, L-sources mixing scenario (where K < L) has been addressed by many different approaches, provided the sources remain quite distinct in the virtual positioning…

Sound · Computer Science 2017-08-17 Thomas Sgouros , Nikolaos Mitianoudis

Convolutive source separation is often done in two stages: 1) estimation of the mixing filters and 2) estimation of the sources. Traditional approaches suffer from the ambiguities of arbitrary permutations and scaling in each frequency bin…

Combinatorics · Mathematics 2011-11-14 Alexis Benichoux , Prasad Sudhakar , Frédéric Bimbot , Rémi Gribonval

The task of blind source separation (BSS) involves separating sources from a mixture without prior knowledge of the sources or the mixing system. Single-channel mixtures and non-linear mixtures are a particularly challenging problem in BSS.…

Signal Processing · Electrical Eng. & Systems 2025-07-24 Matthew B. Webster , Joonnyong Lee

The problem of maximum likelihood (ML) detection in training-assisted single-input multiple-output (SIMO) systems with phase noise impairments is studied for two different scenarios, i.e. the case when the channel is deterministic and known…

Information Theory · Computer Science 2016-11-17 Antonios Pitarokoilis , Emil Björnson , Erik G. Larsson

This paper addresses the problem of estimating sparse channels in massive MIMO-OFDM systems. Most wireless channels are sparse in nature with large delay spread. In addition, these channels as observed by multiple antennas in a neighborhood…

Applications · Statistics 2015-06-22 Mudassir Masood , Laila H. Afify , Tareq Y. Al-Naffouri

We revisit the source image estimation problem from blind source separation (BSS). We generalize the traditional minimum distortion principle to maximum likelihood estimation with a model for the residual spectrograms. Because residual…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-14 Robin Scheibler

Broadband wireless channels usually have the sparse nature. Based on the assumption of Gaussian noise model, adaptive filtering algorithms for reconstruction sparse channels were proposed to take advantage of channel sparsity. However,…

Information Theory · Computer Science 2015-02-20 Guan Gui , Li Xu , Wentao Ma , Badong Chen

Non-negative blind source separation (non-negative BSS), which is also referred to as non-negative matrix factorization (NMF), is a very active field in domains as different as astrophysics, audio processing or biomedical signal processing.…

Machine Learning · Statistics 2014-10-27 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

Non-negative blind source separation (BSS) has raised interest in various fields of research, as testified by the wide literature on the topic of non-negative matrix factorization (NMF). In this context, it is fundamental that the sources…

Machine Learning · Statistics 2013-10-21 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck