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Asymptotic performance of second-order algorithms
2002
IEEE Transactions on Signal Processing
correlated, possibly non-Gaussian, real, or complex (possibly noncircular) random processes. ...
Thanks to a functional approach and a matrix-valued reformulated central limit theorem about the sample covariance matrix, the conditions under which the asymptotic covariance of a parameter estimator ...
Diag is a diagonal matrix with diagonal elements . ...
doi:10.1109/78.972481
fatcat:3f42zyw7nrbblgglwwcveymlr4
Second-Order Blind Separation of First- and Second-Order Cyclostationary Sources—Application to AM, FSK, CPFSK, and Deterministic Sources
2004
IEEE Transactions on Signal Processing
Most of the second-order (SO) and higher order (HO) blind source separation (BSS) methods developed this last decade aim at blindly separating statistically independent sources that are assumed zero-mean ...
However, some cyclostationary sources used in practical situations are not zero-mean but have a first-order (FIO) cyclostationarity property, which is, in particular, the case for some amplitude modulated ...
Finally, under the assumptions of Section VI-B1, the temporal mean of the correlation matrix is given by (82) where , , such that is a diagonal matrix.
3) Detection of Deterministic Sources From P1 and ...
doi:10.1109/tsp.2004.823492
fatcat:iq67ufiiibhtnka5fudmvagp3m
Augmented Complex Common Spatial Patterns for Classification of Noncircular EEG From Motor Imagery Tasks
2014
IEEE transactions on neural systems and rehabilitation engineering
Simulations on both synthetic noncircular sources and motor imagery experiments using real-world EEG support the approach. ...
The proposed complex-valued CSP algorithms account for the generality of complex noncircular data, by virtue of the use of augmented complex statistics and the strong-uncorrelating transform (SUT). ...
The augmented complex matrix can be presented using and such that (29) Denote the transfer matrix and the real-valued matrix by then the covariance matrix of is 3 When the diagonalized composite covariance ...
doi:10.1109/tnsre.2013.2294903
pmid:26271130
fatcat:lble45w7pbcjfonh6aklnkny3y
ICAR: a tool for blind source separation using fourth-order statistics only
2005
IEEE Transactions on Signal Processing
The problem of blind separation of overdetermined mixtures of sources, that is, with fewer sources than (or as many sources as) sensors, is addressed in this paper. ...
A new method, called Independent Component Analysis using Redundancies in the quadricovariance (ICAR), is proposed in order to process complex data. ...
Step 5 Compute from the matrices , construct matrices for all , , and compute , which is an estimate of , from the joint diagonalization of the matrices ; one possible joint diagonalization algorithm may ...
doi:10.1109/tsp.2005.855089
fatcat:npk7xueyhbas3aiermwm3hvdcy
A "Sequentially Drilled" Joint Congruence (SeDJoCo) Transformation With Applications in Blind Source Separation and Multiuser MIMO Systems
2012
IEEE Transactions on Signal Processing
Index Terms-Approximate joint diagonalization, blind source separation, independent component analysis, coordinated beamforming, multi-user MIMO, STJOCO, HEAD. ...
The number of matrices in the set equals their dimension, and the joint diagonality criterion requires that in each transformed ("diagonalized") target-matrix, all off-diagonal elements on one specific ...
AJD is closely related to the problem of blind source separation (BSS), in which the diagonalizing serves as an estimate of the demixing matrix, which is subsequently used for recovering the sources from ...
doi:10.1109/tsp.2012.2190728
fatcat:zcnbyraaena3fpyc2rpjjosuim
Joint Matrices Decompositions and Blind Source Separation: A survey of methods, identification, and applications
2014
IEEE Signal Processing Magazine
The usefulness of the complementary correlation matrix is directly related to a noncircularity property of the sources since for circular sources this matrix would be null. ...
IntroductIon In the context of noncircular complex-valued signals, complex symmetric (non-Hermitian) matrices provide information that can be useful and even sufficient for blind beamforming or source ...
doi:10.1109/msp.2014.2298045
fatcat:eg2ktxyvifc2pprpxueyvffo6q
Performance Analysis of the Strong Uncorrelating Transformation in Blind Separation of Complex-Valued Sources
2012
IEEE Transactions on Signal Processing
Based on a small-errors analysis, we derive explicit expressions for the attainable ISR in terms of the temporal correlations and pseudo-correlations of the sources. ...
The strong uncorrelating transformation (SUT) is an effective tool for blind separation of complex-valued independent sources, commonly applied to the (spatial) sample autocovariance and pseudo-autocovariance ...
CONCLUSION We derived analytic expressions for the expected ISR values for SUT-based blind separation of WSS complex-valued sources, when the SUT is applied to the zero-lag correlation and pseudo-correlation ...
doi:10.1109/tsp.2011.2169255
fatcat:d2j74i6mgndgrfejvglu4nxrmm
Asymptotic performance analysis of DOA finding algorithms with temporally correlated narrowband signals
2000
IEEE Transactions on Signal Processing
temporal correlation of the sources. ...
all the covariance-based DOA algorithms are sensitive to the temporal correlation of the sources when the noise is temporally correlated. ...
doi:10.1109/78.863076
fatcat:ycyd32q3ivd5fogrmc44ge7zze
Correlation Matching Approaches for Blind OSTBC Channel Estimation
2008
IEEE Transactions on Signal Processing
On the other hand, regardless of the source correlation matrix, the KCM technique reduces to the ECM criterion in the low SNR ...
The proposed techniques exploit the knowledge of the source correlation matrix to unambiguously recover the multiple-input multiple-output (MIMO) channel. ...
We use and to denote that is a complex or real matrix of dimension . ...
doi:10.1109/tsp.2008.929661
fatcat:fcn7dp6s6veyxlzewv65qaqahy
Analysis of complex-valued functional magnetic resonance imaging data: are we just going through a "phase"?
2012
Bulletin of the Polish Academy of Sciences: Technical Sciences
Of special emphasis are the use of data-driven approaches, which are particularly useful as they enable us to identify interesting patterns in the complex-valued data without making strong assumptions ...
Finally, we provide our view of the current state of the art in this area and make suggestions for what is needed to make efficient use of the fully-complex fMRI data. ...
Data-driven analysis of complex fMRi data 6.1. Blind Source Separation (BSS) and Independent Component Analysis (ICA). ...
doi:10.2478/v10175-012-0050-5
fatcat:3vl32ly43bdnhm4okw3y765uzy
Developing a Complex Independent Component Analysis (CICA) Technique to Extract Non-stationary Patterns from Geophysical Time Series
2017
Surveys in geophysics
PCA and ICA can be classified as stationary signal decomposition techniques since they are based on decomposing the autocovariance matrix and diagonalizing higher (than two) order statistical tensors from ...
Here, CICA is derived as an extension of realvalued ICA, where (a) we first define a new complex dataset that contains the observed time series in its real part, and their Hilbert transformed series as ...
Rycroft (Editor in Chief) and two anonymous reviewers for providing helpful comments, which are used to improve the quality of this manuscript. We are Surv Geophys ...
doi:10.1007/s10712-017-9451-1
fatcat:nceidiylandyxhytgvunod5rea
Hybrid Joint Diagonalization Algorithms
2018
IEEE Signal Processing Letters
blind separation of non-circular sources. ...
Such problem can be encountered in certain non-circular signal analysis applications including blind source separation. ...
Blind separation of non-circular sources This last experiment is dedicated to the blind separation of non-circular sources. ...
doi:10.1109/lsp.2018.2868408
fatcat:5hgauihw6vbyjeln3i7hibldfe
PWC-ICA: A Method for Stationary Ordered Blind Source Separation with Application to EEG
2016
Computational Intelligence and Neuroscience
We examine the performance of our candidate approach relative to several existing ICA algorithms for the blind source separation (BSS) problem on both real and simulated EEG data. ...
Independent component analysis (ICA) is a class of algorithms widely applied to separate sources in EEG data. ...
advancing the state of the art in the BSS problem for EEG. ...
doi:10.1155/2016/9754813
pmid:27340397
pmcid:PMC4909972
fatcat:hip2ozp3ujeghpl5zrqryxtqxe
De-noising, phase ambiguity correction and visualization techniques for complex-valued ICA of group fMRI data
2012
Pattern Recognition
The methods we present thus allow the development of new fully complex data-driven and semi-blind methods to process, analyze, and visualize fMRI data.We first introduce a phase ambiguity correction scheme ...
We present solutions for these issues, which have been among the main reasons phase information has been traditionally discarded, and show their effectiveness when used as part of a complex-valued group ...
Arvind Caprihan, from the The Mind Research Network, provided during the analysis of the visualization methods. ...
doi:10.1016/j.patcog.2011.04.033
pmid:22347729
pmcid:PMC3280613
fatcat:li32lhqgevgshmdapbatkakwy4
Table of Contents
2021
IEEE Transactions on Signal Processing
Adler Blind Localization of Early Room Reflections Using Phase Aligned Spatial Correlation . . . . . . T. Shlomo and B. ...
Kozat Graph Signal Processing Meets Blind Source Separation . . . . . . . . . . J. Miettinen, E. Nitzan, S. A. Vorobyov, and E. ...
doi:10.1109/tsp.2021.3136800
fatcat:zhf46mb3rbdlnnh3u2xizgxof4
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