Adaptive Algorithms for Multilinear System Identification Using
Tensor Modelling
(AdAMSysTeM)
Algoritmi
adaptivi pentru identificarea sistemelor multiliniare folosind modelarea
tensorială
Program name and purpose: Postdoctoral Research
Projects (PD) - Supporting young researchers, PhDs, who want to develop their
independent professional research career in research institutions in Romania,
in order to stimulate scientific excellence in Romanian research.
Funding Institution: Executive Unit for Higher Education, Research, Development,
and Innovation Funding (UEFISCDI)
Project code: PN-III-P1-1.1-PD-2019-0340
Budget:
246.950,00 lei
Last update: 12.2022
Research team:
Project manager: Ș.l.dr.ing.
Laura-Maria Dogariu - Google
Scholar profile
Mentor: Prof.dr.ing. Constantin
Paleologu - Google
Scholar profile
Project summary:
In
many applications related to system identification, the unknown system can be
modeled as a finite impulse response filter with a large number of
coefficients, which raises challenges for the adaptive filter used for this
purpose. In this context, the system can be regarded as a multidimensional
structure, mathematically modeled by a tensor, which may be decomposed into
shorter, easier to identify impulse responses. In addition, specific properties
of the systems, such as the sparsity, could be used to simplify the problem.
However, solutions have been proposed so far only for second and third order
tensors. Motivated by the good performance of these solutions (developed during
the PhD studies of the project leader), the project aims to provide a general framework
for multilinear system identification, by using tensor modelling and
decompositions. The solution will be applied first in the context of the Wiener
filter, then for the main categories of adaptive filters, i.e., the
least-mean-square (LMS) algorithm, the affine projection algorithm (APA), and a
Kalman filter (KF) will also be developed. Convergence analysis and
low-complexity versions of these algorithms will also be derived, as well as
combinations of adaptive filters (e.g., combination scheme of LMS and
Kalman-based algorithms, a combination scheme of APAs using different
projection orders), to be used in certain applications. Software simulations
will be conducted to test the performance of all the proposed algorithms, and,
based on the results, the best performing solutions will be implemented on
fixed-point DSP or FPGA, targeted for specific applications. The results of the
project will be disseminated in top ISI journals and conferences.
Project
objective
Dissemination results:
· Journal
papers:
- A. C. Becker, E. V. Kuhn, M. V.
Matsuo, J. Benesty, C. Paleologu, L.-M. Dogariu, and S. Ciochină,
“Stochastic model for the LMS algorithm with symmetric/antisymmetric
properties,” Symmetry, vol. 14(9), p.1908 (11 pages), Sept. 2022 – ISI Q2.
- L.-M. Dogariu, J. Benesty, C.
Paleologu, and S. Ciochină, “Identification of room acoustic impulse
responses via Kronecker product decompositions,” IEEE-ACM Transactions
on Audio, Speech, And Language Processing, vol. 30, pp. 2828-2841,
2022, WOS:000852841100004 – ISI Q1.
- I. D. Fîciu, J. Benesty, L.-M.
Dogariu, C. Paleologu, S. Ciochină, “Efficient algorithms for linear
system identification with particular symmetric filters,” Applied
Sciences, vol. 12(9), p. 4263 (26 pages), April 2022,
WOS:000794561600001 - ISI Q2.
4.
L.-M. Dogariu, J. Benesty, C. Paleologu,
and S. Ciochină, “An insightful overview of the Wiener filter for system
identification,” Applied Sciences, vol. 11, p. 7774, August 2021,
WOS:000694165800001 - ISI Q2.
5. J.
Benesty, C. Paleologu, L.-M. Dogariu, and S. Ciochină, “Identification of
linear and bilinear systems: a unified study,” Electronics, vol. 10, p.
1790, July 2021, WOS:000681959500001 – ISI
Q3.
6. L.-M.
Dogariu, C. Paleologu, J. Benesty, C.-L. Stanciu, C.-C. Oprea, and S.
Ciochină, “A Kalman filter for multilinear forms and its connection with
tensorial adaptive filters,” Sensors, vol. 21(10), p. 3555, May 2021,
WOS:000662590100001 - ISI Q1.
7.
L.-M. Dogariu, C.-L. Stanciu, C.
Elisei-Iliescu, C. Paleologu, J. Benesty, and S. Ciochină, “Tensor-based
adaptive filtering algorithms,” Symmetry, vol. 13, no. 3, p. 481, March
2021, DOI: 10.3390/sym13030481, WOS:000634166700001 - ISI Q2.
· Conference
papers:
- I. D. Ficiu, L.-M. Dogariu, R.-L.
Costea, C. Paleologu, J. Benesty, and S. Ciochină, “A Kalman filter
for the identification of impulse responses with particular symmetry
features,” in Proc. IEEE International Symposium on Electronics and
Telecommunications (ISETC), Timișoara, Romania, Nov. 2022 – ISI.
- J. Benesty, L.-M. Dogariu, C.
Paleologu, and S. Ciochină, “An iterative Wiener filter for
stereophonic acoustic echo cancellation,” accepted for publication in the
Asilomar Conference on Signals, Systems, and Computers, online,
Oct.-Nov. 2022 - ISI.
- L.-M. Dogariu, J. Benesty, C.
Paleologu, and S. Ciochină, “An iterative Wiener filter for the
identification of impulse responses with particular symmetric properties,”
accepted for publication in the 11th edition of the International
Conference "Advanced Topics in Optoelectronics, Microelectronics and
Nanotechnologies" (ATOM), Constanta, Romania, August 2022 - ISI.
- A.-G. Rusu, L.-M. Dogariu, R.-L.
Costea, C. Paleologu, J. Benesty, and S. Ciochină, “A variable
step-size affine projection algorithm based on data reuse,” accepted for
publication in the IEEE 45th International Conference on
Telecommunications and Signal Processing (TSP), online, July 2022 -
ISI. *Best Paper Award*
- L.-M. Dogariu, C. Paleologu, J.
Benesty, S. Ciochină, E. V. Kuhn, A. C. Becker, and M. V. Matsuo, “An
affine projection algorithm for the identification of impulse responses
with symmetric/antisymmetric characteristics,” accepted for publication in
the IEEE 45th International Conference on Telecommunications and Signal
Processing (TSP), online, July 2022 - ISI.
- L.-M. Dogariu, C. Paleologu, J.
Benesty, and S. Ciochină, “On the performance of a data-reuse fast
RLS algorithm for acoustic echo cancellation,” accepted for publication in
the IEEE 10th International Black Sea Conference on Communications and
Networking (BlackSeaCom), Sofia, Bulgaria, June 2022 - ISI.
- J. Benesty, L.-M. Dogariu, C.
Paleologu, and S. Ciochină, “Efficient Identification of Acoustic
Linear Systems,” in Proc. the IEEE 14th International Conference on
Communications (COMM), online, June 2022 - ISI.
- I.-D. Ficiu, C.-L. Stanciu, L.-M.
Dogariu, C. Elisei-Iliescu, and C. Paleologu, “Tensor-based recursive
least-squares algorithm with low computational complexity,” in Proc.
the 15th International Conference on Sensor Technologies and Applications
(SENSORCOMM), Athens, Greece, November 2021. *Best Paper Award*
- L.-M. Dogariu, C. Paleologu, J. Benesty,
and S. Ciochină, “Improved affine projection algorithm for the
identification of multilinear forms,” in Proc. IEEE the 27th
International Symposium for Design and Technology in Electronic Packaging
(SIITME), online, October 2021 - ISI.
- A.-G. Rusu, L.-M. Dogariu, S.
Ciochină, and C. Paleologu, “A data-reuse approach for an optimized
LMS algorithm,” in Proc. IEEE the 11th Conference on Speech Technology
and Human-Computer Dialogue (SpeD), online, October 2021 - ISI.
- L.-M. Dogariu, C. Paleologu, J.
Benesty, and S. Ciochină, “Identification of multilinear forms with
the tensorial Kalman filter,” in Proc. IEEE the 44th International
Conference on Telecommunications and Signal Processing (TSP), online,
July 2021 - ISI.
- L.-M. Dogariu, C. Elisei-Iliescu, C.
Paleologu, J. Benesty, and S. Ciochină, “A tensorial affine
projection algorithm,” in Proc. IEEE the 15-th International Symposium
on Signals, Circuits and Systems (ISSCS), Iasi, Romania, July 2021 -
ISI.
- I.-D. Ficiu, L.-M. Dogariu, C.-L.
Stanciu, and C. Paleologu, “Identification of
multilinear forms using combinations of adaptive algorithms,” in Proc.
the Sixth International Conference on Advances in Signal, Image and Video
Processing (SIGNAL), Valencia, Spain, June 2021.
· Book
chapters:
1.
L.-M. Dogariu, C. Paleologu, J. Benesty,
S. Ciochină, “Identification of Multilinear Systems: A Brief Overview”,
IntechOpen, 2022, ISBN: 978-1-80355-766-3.