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Abstract: Session SAM-5 |
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SAM-5.1
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Criteria for Direct Blind Deconvolution of MIMO FIR Systems Driven by White Source Signals
Yujiro Inouye (Department of Electronic and Control Systems Engineering, Shimane University, 1060 Nishikawatsu, Matsue, Shimane 690-8504, Japan),
Ruey-wen Liu (Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA)
This paper addresses the blind deconvolution of multi-input-multi-output (MIMO) FIR systems driven by white non-Gaussian source signals. First, we present a weaker condition on source signals than the so-called i.i.d. condition so that blind deconvolution is possible. Then, under this condition, we provide a necessary and sufficient condition for blind deconvolution of MIMO FIR systems. Finally, based on this result, we propose two maximization criteria for blind deconvolution of MIMO FIR systems. These criteria are simple enough to be implemented by adaptive algorithms.
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SAM-5.2
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A New Method for Blind Source Separation of Nonstationary Signals
Douglas L Jones (University of Illinois at Urbana-Champaign)
Many algorithms for blind source separation have been introduced in
the past few years, most of which assume statistically stationary sources.
In many applications, such as separation of speech or fading
communications signals, the sources are nonstationary.
We present a new adaptive algorithm for blind source separation of nonstationary
signals which relies only on the nonstationary nature of the sources
to achieve separation.
The algorithm is an efficient,
on-line, stochastic gradient update based on minimizing the average squared
cross-output-channel-correlations along with deviation from unity average energy
in each output channel.
Advantages of this algorithm over existing methods include
increased computational efficiency, a simple on-line, adaptive
implementation requiring only multiplications and additions,
and the ability to blindly separate nonstationary
sources regardless of their detailed statistical structure.
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SAM-5.3
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A Channel Order Independent Method for Blind Equalization of MIMO Systems
João M F Xavier,
Victor A N Barroso (Instituto Superior Técnico - Instituto de Sistemas e Robótica)
We study blind equalization of noisy MIMO-FIR systems
driven by white sources. We present a new second order
statistics based approach which does not require
the knowledge of the channel order.
This technique blindly transforms a convolutive mixture
of users into an instantaneous one. Thus, in the
special case of a single user (SIMO systems), an
estimate of the input signal is readily obtained.
Computer simulations results illustrate the promising
performance of the proposed technique.
We compare our method with the multistep prediction
approach (SIMO systems), and evaluate the algorithm
capability in globally nulling the intersymbol
interference for MIMO systems.
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SAM-5.4
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Blind knowledge based algorithms based on second order statistics
Lisa Perros-Meilhac,
Pierre Duhamel (ENST/TSI),
Pascal Chevalier (Thomson-CSF Communications),
Eric Moulines (ENST/TSI)
Most second order Single Input Multiple Output (SIMO) identification algorithms identify the global impulse channel response, convolution of an emission filter and a propagation channel. This paper makes an explicit use of this channel structure in a second order algorithm. We present several stuctured methods exploiting more or less prior informations on the emission filter. Proofs of convergence are provided, and simulations show that some knowledge based algorithms greatly improve over classical blind algorithms, even in the case where the knowledge is partial.
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SAM-5.5
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A Schur Method for Multiuser Multichannel Blind Identification
Luc Deneire,
Dirk T.M. Slock (Eurecom Institute)
We address the problem of blind multiuser multichannel identification in a
Spatial Division Multiple Access (S.D.M.A.) context. Using a stochastic model
for the input symbols and only second order statistics, we develop a simple
algorithm, based on the Generalized Schur algorithm to apply LDU decomposition
of the covariance matrix of the received data. We show that this method leads
to identification of the channel, up to a unitary mixture matrix.
Furthermore, the identification algorithm is shown to be robust to channel
length overestimation and approaches the performance of the Weighted Linear
Prediction (WLP) method, at low computational cost.
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SAM-5.6
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A Convolutive Source Separation Method with Self-optimizing Non-linearities
Nabil Charkani (Philips Consumer Communications (PCC), Advanced Development, Route d'Angers, 72081 Le Mans Cedex 9, France.),
Yannick Deville (Laboratoire d'Acoustique, de Metrologie, d'Instrumentation (LAMI), Universite Paul Sabatier, 38 Rue des 36 Ponts, 31400 Toulouse, France.)
This paper deals with the separation of two convolutively mixed signals.
The proposed approach uses a recurrent structure adapted by a generic rule involving arbitrary separating functions.
These functions should ideally be set so as to minimize
the asymptotic error variance of the structure. However, these optimal
functions are
often unknown in practice.
The proposed alternative is based on a self-adaptive (sub-)optimization of
the separating functions, performed by estimating
the projection of the optimal
functions
on a predefined set of elementary functions. The equilibrium
and stability conditions of this rule and its asymptotic error variance are studied.
Simulations are performed for real mixtures of speech signals. They show that the
proposed approach yields much better performance than classical rules.
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SAM-5.7
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BLIND CLOSED-FORM ARRAY RESPONSE ESTIMATION IN WIRELESS COMMUNICATION
Liang Jin,
Min-li Yao,
Qin-ye Yin (Xi'an Jiaotong University)
In this paper, a closed-form array response estimation (CARE) technique for blind source separation in wireless communication is developed. By exploiting the data structure of second-order statistics of the array output in the presence of multipath, we construct a signature matrix in such away that its eigenvectors corresponding to none-zero eigenvalues are just the array response vectors. Thus a closed-form solution of array response can be obtained by eigrn-decomposition. The theoretical analysis and the simulations show that the proposed method achieves array response estimation with little constraint on signal property and propagation environment such as scatters or angular spread. Moreover, the array considered here can be of arbitrary geometry and even uncalibrated.
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SAM-5.8
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Adaptive blind source separation by second order statistics and naturalgradient
Yong Xiang,
Karim Abed-Meraim,
Yingbo Hua (University of Melbourne)
Separation of sources that are mixed by a unknown (hence, "blind") mixing
matrix is an important task for a wide range of applications. This paper
presents an adaptive blind source separation method using second order
statistics (SOS) and natural gradient. The SOS of observed data is shown to
be sufficient for separating mutually uncorrelated sources provided that
the temporal coherences of all sources are independent of each other. By
applying the natural gradient, new adaptive algorithms are derived that have a
number of attractive properties such as invariance of asymptotical
performance (with respect to the mixing matrix) and guaranteed local
stability. Simulations suggest that the new algorithms can outperform some of the best
existing ones.
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SAM-5.9
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Weighted ACMA
Alle-Jan van der Veen (Delft University of Technology)
The analytical constant modulus algorithm (ACMA) is a deterministic
array processing algorithm to separate sources based on their
constant modulus. It has been derived without detailed regard to
noise processing. In particular, the estimates of the beamformer are
known to be asymptotically biased. In the present paper, we
investigate this bias, and obtain a straightforward weighting scheme
that will whiten the noise and remove the bias. This leads to
improved performance for larger data sets.
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SAM-5.10
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A COMBINED KALMAN FILTER AND CONSTANT MODULUS ALGORITHM BEAMFORMER FOR FAST-FADING CHANNELS
WANCHALEAM PORA,
JONATHON A CHAMBERS,
ANTHONY G CONSTANTINIDES (DEPT. OF ELECTRICAL & ELECTRONIC ENGINEERING, IMPERIAL COLLEGE, LONDON, SW7 2BT, UK)
Beamformers which use only the Constant Modulus
Algorithm (CMA) are unable to track properly
time-variant signals in fast-fading channels.
The Kalman Filter (KF), however, has significant
advantage in time-varying channels but needs a
training sequence to operate. A combined CMA and KF
algorithm is therefore proposed in order to utilise
the advantages of both algorithms. The associated
stepsize of the combination is also varied in
accordance with the magnitude of the output.
Simulations are presented to demonstrate the potential
of this new approach.
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