Paul Jean Etienne Jeszensky - Home Page
Curriculum Vitae
He was born in Nancy-France. He received the B.
S., M. S. and Ph. D., all in Electrical Engineering from EPUSP-Escola Politécnica da Universidade
de São Paulo, in 1972, 1981, and 1989, respectively. From 1974 to 1978 he
was with FDTE-Fundação
para o Desenvolvimento Tecnológico
da Engenharia as a member of Technical Staff on
the development of Communication Systems. From 1978 to 1990 as Instructor he
taught part-time at EPUSP and he was with FDTE and
FUSP-Fundação de Apoio à Universidade de São Paulo where he was engaged as Technical Leader in various development
programs of Communication Systems to industry and government. Since 1990 he has
been with EPUSP where he is full-time Assistant Professor, Associate since 1992
and Full Professor since 2005, and Researcher in Communication Systems. Co-ordinator of LCS-Laboratório de Comunicações e Sinais of EPUSP in 1995/97, 1999/01 and 2003/05.
President of the Undergraduate Commission of EPUSP in 2008/14. Associate
Provost of the Undergraduate Studies of USP from 03/2011 to 01/2014. General
Co-Chairmen of ITS'98-International Telecommunications Symposium, sponsored by SBrT - Sociedade Brasileira de Telecomunicações and IEEE/ComSoc,
held in São Paulo from August 9 to 13,1998. General Chairman of the ISSSTA-06,
2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and
Applications, sponsored by EPUSP and technically co-sponsored by: IEEE, IEEE/ComSoc, IEE, VDE and SBrT, held
in Manaus from August 28 to 31, 2006. Senior Member of IEEE since 2007 and SBrT since 2013.
General co-ordinator for the cooperation agreements
between Escola Politécnica and Ericsson do Brasil, Motorola do Brasil and Telesp-Celular, since 1999. He was visiting professor at
UPC-Universitat Politécnica de Catalunya,
Barcelona-Spain in 1995 and at TUB-Technical University of Budapest, Hungary in
2001. He
is author of more than 140 research papers published in periodicals and
symposiums and the book Sistemas Telefônicos
(Editora Manole, 2007). Retired since 2017, now works
as a collaborating professor.
Contact
EPUSP-Escola Politécnica da Universidade de São Paulo
PTC-Departamento de Engenharia de Telecomunicações e Controle
LCS-Laboratório de Comunicações e Sinais
Caixa Postal 61548-São Paulo-SP-Brazil
CEP 05424-970
phone: 55-11-3091-5290
fax: 55-11-3091-5718
e-mail: pjej@usp.br
homepage: http://www.lcs.poli.usp.br/~pjj
Research Interests
-
Communication Systems
- Wireless Communications
- Digital Telephony
- CDMA-Code Division Multiple Access
- Code Sequences for Spread Spectrum
Undergraduate Courses
- PTC-2549 Sistemas Telefônicos (Telephony)
- PTC-2433 Teoria das Comunicações II (Communications Theory II)
- PTC-3452 Teoria da Informação e Codificação (Information and Coding Theory)
Graduate Courses
- PTC-5710 Comunicação por Espalhamento Espectral (Spread Spectrum Communications)
- PTC-5757 Tópicos Especiais em Comunicações
Digitais (Special Topics
on Digital Communications)
- PTC-5869 Teoria Básica e Aplicações das Sequências de Códigos (Code Sequences: Theory and Applications)
Recent Publications
Books
Published Papers
Graduate Students
Past Graduate Students
TÓPICOS SOBRE A CARACTERIZAÇÃO DO DESEMPENHO DE
SISTEMAS DS-CDMA (size: 1.41M),
M. S. Dissertation, John Richard Fitzgerald Júnior,
3/1996. This master thesis
addresses and compares several possible ways to determine CDMA (Code Division
Multiple Access) systems performance, using specific and random sequences. The
main body of the work concerns DS (Direct Sequence) systems with the use of deterministic
code sequences. One evaluation method is developed using random code sequence
for comparative effects. The performance is characterized by the system’s bit
error probability considered as a quality index.
ANÁLISE DE UM SISTEMA DE COMUNICAÇÃO POR
PACOTES PARA USO EM TELEFONIA MÓVEL MICROCELULAR (size:
985K), M. S. Dissertation, José
Augusto de Lima, 1/1997. This
master thesis establishes a mobile micro cellular communications systems
characterization based on the PRMA (Packet Reservation Multiple Access)
technique. The communication support is a high bit rate metropolitan area
network for simultaneous voice and data transmission. The main performance
measure is the voice package drop probability.
SEQÜÊNCIAS DE CÓDIGOS PARA USO EM COMUNICAÇÃO
POR ESPALHAMENTO ESPECTRAL (size: 767K),
M. S. Dissertation, Angel Antonio
Gonzalez Martinez, 3/1997. This master thesis makes an exhaustive
review of code sequences families used in spread spectrum communication and a
possible choice optimization of them, when used in CDMA (Code Division Multiple
Access) systems, is studied by simulation. Families of sequences are introduced
(generated in linear and non-linear form) and their most important
characteristics exposed. The work presents also some
performance indicators for each family and an objective criterion for sequence
selection.
UMA ESTRATÉGIA DE MIGRAÇÃO DE SISTEMAS DE
TELEFONIA MÓVEL COM TECNOLOGIA AMPS PARA TECNOLOGIA CDMA (size:
3.18M), M. S. Dissertation, Ronald Luís
Clarkson Eisner, 8/1997. This
master thesis studies a strategy for the transition of a mobile phone system
with FDMA (Frequency Division Multiple Access) technology to CDMA (Code
Division Multiple Access) in terms of interference between both systems and
increase of the subscriber capacity.
ANÁLISE DE UM MÉTODO DE AQUISIÇÃO EM DOIS
ESTÁGIOS PARA SISTEMAS DS-CDMA (size: 1.18M),
M. S. Dissertation, Ivan Roberto Santana Casella, 6/1998. This work tries to characterize the
behavior of a new proposed DS-CDMA acquisition system. This new scheme is
applied to DS-CDMA systems in which timing uncertainties between the
received and local spreading code are inside a relatively small and known
interval of the total uncertain region. Without the use of this kind of
technique, the acquisition process determines the capacity limitation of
DS-CDMA systems. Since it is possible to use a technique like this, the DS-CDMA
system capacity is limited by the bit error probability, for a specific desired
performance.
ANÁLISE DO USO DA ALOCAÇÃO DINÂMICA DE CANAIS
EM SISTEMAS DE TELEFONIA CELULAR (size: 3.34M), M. S. Dissertation,
Benedito José Barreto Fonseca Júnior, 8/1999. Fixed Channel Allocation (FCA) causes several
problems in present cellular phone systems: need for frequency planning, poor
tolerance to traffic load variations and low capacity due to low trunking efficiency and high design margins. Dynamic
Channel Allocation (DCA) is an alternative to solve these problems. This
research considers several different DCA algorithms under the same scenario,
allowing a complete analysis and comparison of their performance. Call quality
and stability are considered in detail. The impact of power control, user
mobility and limited number of transceivers in base stations are studied
separately. The application of DCA in TDMA systems and its main problems are
also studied.
ANÁLISE DE SISTEMAS
DS/CDMA DE MÚLTIPLA TAXA (size: 1.37M), M. S. Dissertation, Cyro Scarano Hemsi, 3/2000.The objective of this work is to study
multi-rate DS/CDMA systems. The work focuses on capacity and resource
optimization aspects of this system. From user specifications, as maximum
transmission power and minimum rate and quality of service (QoS) requirements
in a multi-class environment, a capacity expression is derived, which can be
optimized to result the minimum total transmission
power solution or the maximum total throughput one, as was investigated, initially
for a single cell, next for multi-cell
environment. Furthermore, the work studies a modification in the multi-rate
CDMA transmission scheme (single-user detection with all users transmitting at
same time) that proposes to time schedule the signals of delay-tolerant users and also maximize their rates in this situation, resulting
throughput gains, when compared with the conventional transmission mode. These
throughput gains were also compared with the ones
obtained with SIC (successive interference cancellation) multi-user approach,
which was also modeled in this work.
TÓPICOS SOBRE A DETERMINAÇÃO DA CAPACIDADE DE
SISTEMAS DS/CDMA (size: 1.64M),
M. S. Dissertation, Márcio Wagner Duarte Rolim,
6/2000. This master thesis
establishes the capacity of DS/CDMA systems, in particular
that defined by IS-95 standard. The determination is based on reverse
channel (Mobile Unit to Base Station) considering the following additional
factors: frequency reuse efficiency, imperfect power control, sectorization,
vocal activity and soft handoff. Each factor was statistically characterized
and finally we have obtained a general expression for
the system capacity. At the end we have also calculated the direct channel
(Base Station to Mobile Unit) limitation and with this determination we have
concluded that the main limitation is on reverse channel.
ESTUDO DE TÉCNICAS DE ALOCAÇÃO DINÂMICA DE
RECURSOS E SINCRONISMO PARA SERVIÇOS DE MULTIMÍDIA NUM SISTEMA MÓVEL CELULAR
CDMA DE BANDA LARGA (size: 540K),
M. S. Dissertation, Eduardo Meirelles Massaud, 8/2000. In this master thesis two fundamental topics in a
cellular mobile system transmission process are presented: To make them
feasible, direct sequence spread spectrum CDMA systems with transmission of
multiple parallel channels per user are analyzed to reach higher throughputs.
The relation between multimedia quality of service and limits on the number of
codes are studied and analyzed through computer simulation in some specific
cases. Parameters that make synchronization process between multimedia
documents feasible are also analyzed and delay thresholds are established to
keep the quality of services. Maximum loss information of each multimedia
services is also studied to keep end-user reproduction quality of service. Some
computer simulations of dynamic resource allocation are presented too.
CANCELADORES DE
INTERFERÊNCIA MULTIUSUÁRIO APLICADOS A SISTEMAS DS/CDMA DE MÚLTIPLA TAXA (full
size: 11.1M); or by parts:contents (size: 144K), chapter 1
(size: 152K), chapter 2 (size: 3.82M), chapter 3 (size: 1.76M), chapter 4
(size: 1.45M), chapter 5 (size: 3.17M), chapter 6 (size: 28K), annex (size:
5.13M), references (size: 63K), Ph. D. Thesis, Taufik Abrão, 4/2001. This work investigates new MuD structures for mobile DS-CDMA (Direct Sequence-Code
Division Multiple Access) communication systems in AWGN (Additive White
Gaussian Noise) and flat fading Rayleigh channels combining non-linear
Interference Cancellers (IC) to two types of multirate
access schemes: Multiple Processing Gain (MPG) and Multiple Codes (MC). The
original contributions of this work related to new MuD
structures for high capacity acting in a multirate
scenario can be synthesized as: 1- Proposal and performance determination for
five new MuD structures based on multistage parallel
and hybrid interference cancellation schemes which detect DS-CDMA signals with
different information rates; 2- Development of an analytical model for
multistage Parallel Interference Cancellers (PIC) performance determination
with hard and tanh decision detectors in AWGN and flat fading Rayleigh
channels; 3- Comparison of linear and non-linear decision detectors for
multistage PIC based receivers in a single rate scenario in AWGN and flat
fading Rayleigh channels from extensive Monte Carlo simulation.
ESQUEMAS DE MULTITAXA PARA SISTEMAS CDMA DE
BANDA LARGA (size: 996K), M.S. Dissertation, André Fagundes da Rocha, 10/2002. This work investigates DS-CDMA
cellular systems, which adopt multi-rate schemes, based on multiple modulation
formats, multiple processing gains or multiple spreading codes. The work covers
the description and modeling of these systems; a performance analysis with the
development of error bit probability expressions for AWGN and
frequency-selective Rayleigh fading channels; and the evaluation of interferent
power as a function of path loss model, cellular architecture and geometry, and
users distribution over the cells. Finally, the three
systems are compared, and advantages and disadvantages of each one are shown.
This comparison includes a performance analysis where two-application
systems are investigated. It is shown that multi-code systems have the same
performance of multi processing-gain
systems, while multi-modulation systems have poor performance at high bit
rates.
ESTRUTURAS ESPAÇO-TEMPORAIS DE MÚLTIPLAS
ENTRADAS E MÚLTIPLAS SAÍDAS PARA A TRANSMISSÃO DE DADOS DE ALTA TAXA EM
SISTEMAS W-CDMA (size: 2.9M), Ph.
D. Thesis, Ivan Roberto Santana Casella,
3/2004. Future wireless
communication systems promise to offer a wide variety of multimedia services.
However, the perspectives of a great demand by the new
services, and the characteristics of demanded QoS, make essential the use of high capacity systems with high-speed wireless access,
motivating the development and the use of new technologies. In the last few
years, several structures based on recent advances in the signal processing
area have been proposed to reduce the fading effects caused by the radio
propagation channel and the different types of wireless communication
interference, thus enabling an increase of system capacity and of wireless
access speed. Traditionally, space diversity is one of the most used techniques
to combat fading, while beamforming is one of the more effective techniques for
interference suppression. Space diversity, typically implemented by multiple
transmit and/or receive antenna arrays, stands out for enabling a reduction of
the channel fading effects without necessarily sacrificing precious frequency
band resources. Beyond this, as demonstrated recently, multiple transmit and
receive antenna arrays allow a significant increase in system capacity. On the
other hand, beamforming considers that multipath components of the desired
signal and of the interfering signals happen about the receiver with different
angles, allowing an antenna array to explore this signature space, through the
adjustment of the radiation pattern of the antenna array, to improve the
desired signal and to cancel the interfering signals. Attending to the
requisites of larger capacity and higher rates, indispensable for future
wireless communication systems, we have proposed and analyzed in this thesis
different transmit and receive structures based on the use of antenna arrays
and coding techniques. We considered both the uplink and the downlink of some
different wireless communication systems, enabling both the reduction of
interference, and improvement of SNR, by exploiting different forms of
diversity.
RECEPTORES RAKE EM CANAIS COM DESVANECIMENTOS
RÁPIDOS E SELETIVOS EM FREQÜÊNCIA PARA SISTEMAS DS-CDMA (size:
2.24M), M.
S. Dissertation, Elvis Miguel Galeas
Stancanelli, 07/2004. One of the main causes that degrade the
performance of mobile communication systems is the signal fading due to the
channel characteristics variations. In this context, diversity techniques
consist in a very usual solution for CDMA systems. The Time RAKE receiver earns
eminence in the midst of diversity techniques, whose theory was presented about
half century ago, and already implemented in the first
DS-CDMA standard (IS-95). Nevertheless, in its original conception a very slow
fading channel was assumed, which don't always reflects
the reality. As choice to the non-coherent version, it
is possible to exploit the signal envelope variations as another form of
diversity, which treats the fast channels through a signal processing: it is
the Doppler diversity. In this dissertation, the joint multipath Doppler
diversity is founded and analyzed, and the Time-frequency RAKE receiver is
defined and implemented through the STFT. The signal-to-noise ratio gain with
the Doppler diversity can be about 17dB for a bit error rate of 10-4 in a
scenario characterized by a normalized Doppler shift around the unity. The STFT
window length can be adjusted to improve the Doppler diversity
and it can be stated that a large number of Doppler sub-channels with similar
energies is the ideal scenario. An expression that provides an approximation
for this energy allocation was also deduced. Additionally, the Doppler
diversity for some examples considering unicellular systems was evaluated, via
Monte Carlo simulations. Finally, two additional schemes were also considered:
(i) the multicode in order to improve the Doppler
diversity, preserving the information transmission rate; (ii) and an
interference canceling algorithm for the parallel channels decoupling (channels
created by the adopted multirate scheme). Despite its
larger computational complexity, in comparison with the traditional Time RAKE
approach, the Time-frequency RAKE receiver can be seen as an attractive
alternative that would deserve more research works.
MODELAGEM COMPUTACIONAL DE CANAIS DE
COMUNICAÇÃO MÓVEL (size: 4.77M), M. S. Dissertation,
Vanderlei Aparecido da Silva, 10/2004. Computational modeling is a powerful and widely
used tool for research in mobile communication systems. In such systems, the communication channel modeling is an indispensable
factor, because its mobility and propagation characteristics can cause
distortion over the transmitted waveform. This work contains the main
mathematical and computing communication channel models. A historical cover is
provided, which presents the nature of the problem and the initial modeling of
the fading phenomenon. On the other hand, recent models are presented, which
are mathematically effective and computationally efficient. One contribution of
this work is the proposal of a new fading channel computational model, which
was suitably tested and validated. The presented models were mathematically
analyzed through its statistical properties. From
numerical and computational point of view, the models were analyzed through
several simulations. The main conclusion, from analytical and simulated
results, shows that two models using frequency filtering are the best choice
for the generation of multiple uncorrelated Rayleigh fading waveforms, where
one of them is the new proposed model. This work can help mobile communications
researchers to suitably model the communication channel in a computer
simulation.
SISTEMAS CDMA MULTIPORTADORA (size: 2.35M), M. S. Dissertation, Bruno
Augusto Angélico, 5/2005. Multicarrier CDMA systems have been considered
as good candidates to integrate one of the fourth
generation wireless mobile communications standards, mainly because they
are relatively robust to the degrading effects of a mobile communication
channel with high transmission rates. The present work brings a comparative
performance study of three multicarrier CDMA systems: MC-CDMA, MC DS-CDMA
orthogonal and MT-CDMA. The results presented here are obtained analytically
according to some developments found in the literature and
also by Monte Carlo simulation. The MC-CDMA system had the best result
in terms of bit error rate. However, it is important
to point out that such conclusion limits to the
configurations used and the simplifications adopted to obtain the systems
performance.
METODOLOGIAS DE SELEÇÃO DE
SEQÜÊNCIAS DE ESPALHAMENTO PARA SISTEMAS DS/CDMA QUASE SÍNCRONOS (size: 2.04M), M. S. Dissertation, André Seichi Ribeiro Kuramoto, 5/2005. This work presents a study on some proposed
methods of obtaining families of appropriate sequences for the spreading
function in QS-CDMA systems. In this study, binary and poliphase
sequences and a family of ternary sequences recently proposed in the literature
are considered. Special attention is given to the families of binary sequences.
For some of these families, performance illustrations are presented in terms of
bit error rate for a QS-CDMA mobile communication system with conventional
reception in Rayleigh fading channel. Such illustrations aid the
evaluation of these families of binary sequences. In the literature they are found few works on appropriate sequences to QS-CDMA
systems with variable data rates (multirate). In this
work, it was evaluated the use of the binary sequences previously studied in a multirate QS-CDMA system with multiple code scheme. For the
multirate QS-CDMA system with multiples processing
gains a methodology of sequence selection was proposed. The conclusions of this
work involve the classification of the methodologies of obtaining the families
of sequences in terms of: complexity of the method,
characteristic of the resulting families of sequences, proportionate
performance in a QS-CDMA system and the applicability in a multirate
QS-CDMA system.
Análise do
Controle de Potência Aplicado ao Canal Reverso de Sistemas DS-CDMA (size: 11.7M) , M. S. Dissertation,
Tadeu Júnior Gross, 7/2005. This dissertation deals with the Verhulst continuous dynamic model is
used, that was elaborated initially to describe the biological species
population growth with food and physical space restrictions, in
order to synthesize a new DPCA (Distributed Power Control Algorithm)
applicable in Direct Sequence Code Division Multiple Access (DSCDMA) systems.
The associated differential equation is discretized via the Euler method,
originally used for numerical integration. Properties of this recursive
algorithm, as the Euclidean distance of optimum power vector distance and
convergence velocity, are investigated via simulation. Numerical results are
used in order to compare the performance against two other
classic DPCA algorithms: the Foschini and Miljanic,
and the sigmoidal of Uykan and Koivo.
With estimation errors the proposed DPCA has presented smaller discrepancy in
comparison with the optimum vector and also a better convergence velocity. Additionally
the Gerschgorin Circles (GC) theory was applied for
the determination of sufficient conditions for the allocation problem
feasibility.
Estimativa de parâmetros de canal
para DS-CDMA baseada na decomposição em subespaços (size
1.26M) , M. S. Dissertation,
Paulo José Garcia Guimarães, 8/2005. With the development of
techniques that increase DS-CDMA capacity as MuD, it is growing the need of accurate channel parameters
estimation (signal strength, propagation delays and carrier phase). Some
articles suggest subspace-based techniques for these parameters
determination; however, papers presented so far are focusing on algorithms
development while less attention is given to the analysis of limits and
sensitivity. The objective of this dissertation is to work on performance and
sensitivity analysis of one proposed algorithm based on subspace decomposition,
focusing on practical utilization, in order to point
vulnerabilities and suggest changes that increase algorithm performance.
Proposta de transmissão de dados em redes de
telefonia celular CDMA2000 (size: 1.1 M); M. S. Dissertation,
Ediclei Alves de Oliveira, 9/2006. Mobile telephony systems have been
constantly asked for new demands of value added
services. Voice traffic only is not enough anymore to
support the new needs of mobile users because nowadays they ask for fast,
cost-efficient, cheap and mobile services to support electronic mail,
videoconference or Internet access. This work presents a method of how to determine minimum rates on traffic channels to
support these services. Considering CDMA2000 technology, an impact analysis
will be made in the air interface for these specific traffic channels. Same analysis will be made when minimum or maximum rates are
reserved for each user, also comparing the time needed for data transmission,
efficiency of the cell (useful rate / maximum rate) and others. The conclusions
of this work may allow strategies to support data users in mobile telephony
networks in such different ways, as better
cost-effective solution, specific segment of the market (i.e., to concentrate
in services with higher or lower transmission rates) or even to foresee the amount of resources needed in a network to support a
forecasted number of users.
Sistemas
de banda ultralarga com pré-processamento (Size: 2,4 M), Ph.D. Thesis, Bruno Augusto
Angélico, 6/2010. The
channel impulse response of a typical ultra wideband
system is characterized by a large number of
resolvable paths. For a
efficient reception, the energy spread over the multipath components has to be
somehow combined. Considering the downlink of a wireless personal area network,
the access point is assumed to have a good hardware capacity when compared to
the portable devices of the network, such as digital cameras, cell phones and
mp3 players. This work focuses on preprocessing schemes that are
able to combine efficiently the multipath components, and to combat self
and multiuser interference without increasing the computational cost at the
receiver (portable devices) substantially. Hence, most of the complexity is
transferred to the transmitter (access point) in such a way that the receiver
needs only a conventional detector or a conventional
detector followed by a moderated complexity processing
in order to mitigate the residual interference.
Otimização
Multidimensional Baseada em Heurísticas Aplicada aos Sistemas de Comunicação
Sem Fio (Size: 6,4 M), Ph.D. Thesis, Fernando Ciriaco
Dias Neto, 03/2012. This work will perform a systematic,
integrated and iterative research of heuristic algorithms applied to parameter
estimation and multiuser detection problems, considering the performance x complexity tradeoff. The CDMA
systems with multidimensional diversity exploitation, i.e., with one or more
diversity techniques, code diversity, frequency, time and space, among other,
in multipath fading channel scenarios are considered. The integrated solution
for parameter estimation and multiuser detection problem uses heuristic
techniques in recurrent form. In addition, we intend to establish a systemic
and comparative analysis of convergence and computational complexity of the
proposal detection technique with some other methods, heuristic or
deterministic, reported in the literature, considering the number of
computational operations that each strategy requires for simultaneous detection
from all active users as a performance metrics. Finally, and most importantly,
this work systematizes the heuristic algorithms approach in the optimization
problems process already mentioned, considering the thresholds for performance
and complexity of these techniques, bringing the scientific community enough
configuration parameters that must be respected in the setup algorithms step to
guarantee satisfactory results when using these methods to multiuser detection
with multidimensional diversity and parameter estimation problems.
EFICIÊNCIA ENERGÉTICA E CAPACIDADE:
ESTRATÉGIAS DE ALOCAÇÃO DE RECURSOS EM REDES SEM FIO DE MÚLTIPLO ACESSO (Size: 4.76 Mb). Ph.D. Thesis,
Lucas Dias Hiera Sampaio, 05/2015. This work investigates the spectrum
and power allocation problems in wire-less multiple access networks and seven
different solutions to different scenarios and topologies, which are enumerated
as follows. Three distinct solutions are presented to the energy efficiency
maximization problem in multicarrier direct sequence code division multiple
access cooperative: two game theoretic approaches, one using the iterative
water-filling algorithm (1) and another one using the distributed power control
algorithm based on Verhulst equilibrium concept (2), and a third solution also
based on the last algorithm but considering the average channel power gain (3);
an heuristic approach using the firefly algorithm (4) and the particle swarm
optimization algorithm (5). In orthogonal frequency division multiple access
networks, optimization problems considering a statistical quality of service
metric were analyzed: the first one is the effective capacity maximization, which
was solved through Lagrange dual decomposition method (6). The second one, in
which the objective is to maximize the effective energy efficiency was
addressed and solution based on the Dinkelbah method
and further application of Lagrange dual decomposition was developed (7).
Simulations were conducted to verify the proposed approaches
performance and, whenever possible, the numerical results were compared to
previous solution proposed in the literature.
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