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Recent Advances in Tensor Based Signal and Image Processing

The goal of this special issue is to gather contributions that bring advances on tensor decompositions with applications to signal and image processing. Articles are invited which focus on either fundamental aspects of tensor decompositions or on application-oriented problems, or both. Fundamental issues include uniqueness, degeneracy, rank definitions and determination, low-rank approximation, structured tensors, constrained tensor models/decompositions, and algorithms. Application fields include (but are not limited to): modeling/ estimation of wireless communication channels, blind equalization and source separation, transceiver design for MIMO and cooperative communication systems, modeling and identification of non-linear systems, biomedical and genomic signal processing, image processing, and audio/ speech processing.

Edited by: Andre Almeida, Gérard Favier, Martin Haardt, Morten Mørup and Alex Vasilescu

  1. Research

    Eigenvector-based initial ranging process for OFDMA uplink systems

    At the contention-based synchronization, e.g., initial ranging process, it is crucial to identify multiple users through ranging codes and estimate the corresponding parameters such as timing offset and freque...

    Sungeun Lee and Xiaoli Ma

    EURASIP Journal on Advances in Signal Processing 2015 2015:1

    Published on: 16 January 2015

  2. Research

    Channel estimation for MIMO multi-relay systems using a tensor approach

    In this paper, we address the channel estimation problem for multiple-input multiple-output (MIMO) multi-relay systems exploiting measurements collected at the destination only. Assuming that the source, relay...

    Xi Han, André LF de Almeida and Zhen Yang

    EURASIP Journal on Advances in Signal Processing 2014 2014:163

    Published on: 17 November 2014

  3. Research

    Canonical polyadic decomposition of third-order semi-nonnegative semi-symmetric tensors using LU and QR matrix factorizations

    Semi-symmetric three-way arrays are essential tools in blind source separation (BSS) particularly in independent component analysis (ICA). These arrays can be built by resorting to higher order statistics of t...

    Lu Wang, Laurent Albera, Amar Kachenoura, Huazhong Shu and Lotfi Senhadji

    EURASIP Journal on Advances in Signal Processing 2014 2014:150

    Published on: 8 October 2014

  4. Research

    PARAFAC-based frequency synchronization for SC-FDMA uplink transmissions

    Frequency synchronization is a critical requirement for single-carrier frequency division multiple-access (SC-FDMA) uplink transmissions. Based on the key observation that the received signal at the base stati...

    Malik MU Gul, Sungeun Lee and Xiaoli Ma

    EURASIP Journal on Advances in Signal Processing 2014 2014:146

    Published on: 24 September 2014

  5. Review

    Overview of constrained PARAFAC models

    In this paper, we present an overview of constrained parallel factor (PARAFAC) models where the constraints model linear dependencies among columns of the factor matrices of the tensor decomposition or, altern...

    Gérard Favier and André LF de Almeida

    EURASIP Journal on Advances in Signal Processing 2014 2014:142

    Published on: 15 September 2014

  6. Research

    Block term decomposition for modelling epileptic seizures

    Recordings of neural activity, such as EEG, are an inherent mixture of different ongoing brain processes as well as artefacts and are typically characterised by low signal-to-noise ratio. Moreover, EEG dataset...

    Borbála Hunyadi, Daan Camps, Laurent Sorber, Wim Van Paesschen, Maarten De Vos, Sabine Van Huffel and Lieven De Lathauwer

    EURASIP Journal on Advances in Signal Processing 2014 2014:139

    Published on: 8 September 2014

  7. Research

    Tensor subspace Tracking via Kronecker structured projections (TeTraKron) for time-varying multidimensional harmonic retrieval

    We present a framework for Tensor-based subspace Tracking via Kronecker-structured projections (TeTraKron). TeTraKron allows to extend arbitrary matrix-based subspace tracking schemes to track the tensor-based...

    Yao Cheng, Florian Roemer, Olaa Khatib and Martin Haardt

    EURASIP Journal on Advances in Signal Processing 2014 2014:123

    Published on: 7 August 2014

  8. Research

    Low-rank filter and detector for multidimensional data based on an alternative unfolding HOSVD: application to polarimetric STAP

    This paper proposes an extension of the higher order singular value decomposition (HOSVD), namely the alternative unfolding HOSVD (AU-HOSVD), in order to exploit the correlated information in multidimensional ...

    Maxime Boizard, Guillaume Ginolhac, Fréderic Pascal and Philippe Forster

    EURASIP Journal on Advances in Signal Processing 2014 2014:119

    Published on: 30 July 2014

  9. Research

    Modeling individual HRTF tensor using high-order partial least squares

    A tensor is used to describe head-related transfer functions (HRTFs) depending on frequencies, sound directions, and anthropometric parameters. It keeps the multi-dimensional structure of measured HRTFs. To co...

    Qinghua Huang and Lin Li

    EURASIP Journal on Advances in Signal Processing 2014 2014:58

    Published on: 3 May 2014