Phase Control Array Synthesis Using Constrained Accelerated Particle Swarm Optimization
In this paper, the phase control antenna array synthesis
is presented. The problem is formulated as a constrained optimization
problem that imposes nulls with prescribed level while maintaining
the sidelobe at a prescribed level. For efficient use of the algorithm
memory, compared to the well known Particle Swarm Optimization
(PSO), the Accelerated Particle Swarm Optimization (APSO) is used
to estimate the phase parameters of the synthesized array. The
objective function is formed using a main objective and set of
constraints with penalty factors that measure the violation of each
feasible solution in the search space to each constraint. In this case
the obtained feasible solution is guaranteed to satisfy all the
constraints. Simulation results have shown significant performance
increases and a decreased randomness in the parameter search space
compared to a single objective conventional particle swarm
optimization.
[1] B. D. Van Veen and K. M. Buckley, Beamforming: A versatile approach
to spatial filtering, IEEE Signal processing magazine, VOL. 5, No. 2, PP. 4-24, 1988
[2] H. Steyscal, R. A. Shore and R. L. Haupt, Methods for null control and their effects on radiation pattern, IEEE Transactions on Antenna and
Propagation, VOL. 34, No. 3, PP. 404-409, Mar, 1986
[3] K. Guney and M. Onay, Amplitude only pattern nulling of linear antenna arrays with use of bees algorithm, Progress in electromagnerics
research, PIER 70, PP. 21-36, 2007
[4] M. Mouhamadou, P. Armand, P. Vandon and M. Rammal, Interference
suppression of the linear array controlled by phase with the use of SQP
algorithm, Progress In electromagnetic research, PIER 59, PP. 251-
256,1997
[5] D. Karaboga, K. Guney and A. Akdagli, Antenna array pattern nulling
by controlling both the amplitude and phase using modified touring ant
colony optimization algorithm, Int, Journal of electronics, VOL. 91,
PP.241-251, 2004
[6] C. Khodier and M. Christodoulou, Linear array geometry synthesis with
minimum sidelobe level control using particle swarm optimization,
IEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.
2674-2679, Aug. 2005
[7] H. Lebret and S. Boyd: Antenna Array Pattern Synthesis via Convex
Optimization, IEEE transactions on signal processing, VOL. 45, NO.
3,pp. 526-532, (1997)
[8] S. J. Blank and M. F. Hutt : Antenna Array Synthesis Using Derivative,
Non-Derivative and Random Search Optimization, Sarnoff Symposium,
pp. 1-4 (Apr, 2008)
[9] J. kennedy and R. C. Eberhart, Particle swarm optimization, Proc. Of
The IEEE Int. Conf. on Neural Networks, PP. 1942-1948, Piscataway,
NJ,1995
[10] J. Robinson and Y. R. Sami, Particle Swarm Optimization in
electromagenetics, IEEE transaction, Antenna and Propagation, VOL. 2,
No. 52,PP. 397-407, 2004
[11] V. Zuniga, A. T. Erdogan and T. Arsalan, Adaptive Radiation Pattern
optimization for antenna arrays by phase perturbation particle swar
optimization, NASA/ESA Conf. on adaptive hardware and systems, PP.
209 - 214, Anaheim, CA, USA, June, 2010
[12] C. Khodier and M. Christodoulou, Linear array geometry synthesis with
minimum sidelobe level control using particle swarm optimization,
IEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.
2674- 2679, Aug., 2005
[13] M. Shihab, Y. Najjar, N. Dib and M. Khodier, Design of non uniform
circular antenna arrays using particle swarm optimization, Journal of
electrical engineering, VOL. 59, NO. 4, PP. 216-220, 2008
[14] S. Yang, S. Deb, and S. Fong, Accelerated Particle Swarm Optimization
and Support Vector Machine for Business Optimization and
Applications, NDT2011, CCIS 136, Springer, PP. 53-66, 2011
[15] F. Gross, Smart Antennas for Wireless Communications, McGraw-Hill
Professional, 1st Ed., 2005
[16] H. Xiaohui and R. Eberhart, Constrained Nonlinear Optimization
Problems with Particle Swarm Optimization, 6th World Multiconference
on Systemics, Cybernetics and Informatics (SCI), PP. 203-206, 2002
[17] Z. Michalewicz and M. Schoenauer, Evolutionary Algorithms for
Constrained Parameter Optimization Problems, Evolutionary
Computation, VOL. 4, NO. 1, PP. 1-32, 1996
[18] A. E. Smith and D. W. Coit, In T. Baek, D. Fogel and Z. Michalewicz
(Eds.), Hanbook of evolutionary computation, Oxford University Press
and Institute of physics publishing, Bristol, U.K., Chapter C5.2
[19] K. Parsopoulos and M. Vrahatis, Particle Swarm Optimization Method
for Constrained Optimization Problems, Proceeding of the Euro-
International Symposium on Computational Intelligence , 2002
[20] S. Pal, A. Basak, S. Das and A. Abraham, Linear Antenna Array
Synthesis with Invasive Weed Optimization Algorithm, International
Conference of Soft Computing and Pattern Recognition, PP. 161 - 166,
SOCPAR, Dec., 2009.
[1] B. D. Van Veen and K. M. Buckley, Beamforming: A versatile approach
to spatial filtering, IEEE Signal processing magazine, VOL. 5, No. 2, PP. 4-24, 1988
[2] H. Steyscal, R. A. Shore and R. L. Haupt, Methods for null control and their effects on radiation pattern, IEEE Transactions on Antenna and
Propagation, VOL. 34, No. 3, PP. 404-409, Mar, 1986
[3] K. Guney and M. Onay, Amplitude only pattern nulling of linear antenna arrays with use of bees algorithm, Progress in electromagnerics
research, PIER 70, PP. 21-36, 2007
[4] M. Mouhamadou, P. Armand, P. Vandon and M. Rammal, Interference
suppression of the linear array controlled by phase with the use of SQP
algorithm, Progress In electromagnetic research, PIER 59, PP. 251-
256,1997
[5] D. Karaboga, K. Guney and A. Akdagli, Antenna array pattern nulling
by controlling both the amplitude and phase using modified touring ant
colony optimization algorithm, Int, Journal of electronics, VOL. 91,
PP.241-251, 2004
[6] C. Khodier and M. Christodoulou, Linear array geometry synthesis with
minimum sidelobe level control using particle swarm optimization,
IEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.
2674-2679, Aug. 2005
[7] H. Lebret and S. Boyd: Antenna Array Pattern Synthesis via Convex
Optimization, IEEE transactions on signal processing, VOL. 45, NO.
3,pp. 526-532, (1997)
[8] S. J. Blank and M. F. Hutt : Antenna Array Synthesis Using Derivative,
Non-Derivative and Random Search Optimization, Sarnoff Symposium,
pp. 1-4 (Apr, 2008)
[9] J. kennedy and R. C. Eberhart, Particle swarm optimization, Proc. Of
The IEEE Int. Conf. on Neural Networks, PP. 1942-1948, Piscataway,
NJ,1995
[10] J. Robinson and Y. R. Sami, Particle Swarm Optimization in
electromagenetics, IEEE transaction, Antenna and Propagation, VOL. 2,
No. 52,PP. 397-407, 2004
[11] V. Zuniga, A. T. Erdogan and T. Arsalan, Adaptive Radiation Pattern
optimization for antenna arrays by phase perturbation particle swar
optimization, NASA/ESA Conf. on adaptive hardware and systems, PP.
209 - 214, Anaheim, CA, USA, June, 2010
[12] C. Khodier and M. Christodoulou, Linear array geometry synthesis with
minimum sidelobe level control using particle swarm optimization,
IEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.
2674- 2679, Aug., 2005
[13] M. Shihab, Y. Najjar, N. Dib and M. Khodier, Design of non uniform
circular antenna arrays using particle swarm optimization, Journal of
electrical engineering, VOL. 59, NO. 4, PP. 216-220, 2008
[14] S. Yang, S. Deb, and S. Fong, Accelerated Particle Swarm Optimization
and Support Vector Machine for Business Optimization and
Applications, NDT2011, CCIS 136, Springer, PP. 53-66, 2011
[15] F. Gross, Smart Antennas for Wireless Communications, McGraw-Hill
Professional, 1st Ed., 2005
[16] H. Xiaohui and R. Eberhart, Constrained Nonlinear Optimization
Problems with Particle Swarm Optimization, 6th World Multiconference
on Systemics, Cybernetics and Informatics (SCI), PP. 203-206, 2002
[17] Z. Michalewicz and M. Schoenauer, Evolutionary Algorithms for
Constrained Parameter Optimization Problems, Evolutionary
Computation, VOL. 4, NO. 1, PP. 1-32, 1996
[18] A. E. Smith and D. W. Coit, In T. Baek, D. Fogel and Z. Michalewicz
(Eds.), Hanbook of evolutionary computation, Oxford University Press
and Institute of physics publishing, Bristol, U.K., Chapter C5.2
[19] K. Parsopoulos and M. Vrahatis, Particle Swarm Optimization Method
for Constrained Optimization Problems, Proceeding of the Euro-
International Symposium on Computational Intelligence , 2002
[20] S. Pal, A. Basak, S. Das and A. Abraham, Linear Antenna Array
Synthesis with Invasive Weed Optimization Algorithm, International
Conference of Soft Computing and Pattern Recognition, PP. 161 - 166,
SOCPAR, Dec., 2009.
@article{"International Journal of Information, Control and Computer Sciences:59713", author = "Mohammad Taha and Dia abu al Nadi", title = "Phase Control Array Synthesis Using Constrained Accelerated Particle Swarm Optimization", abstract = "In this paper, the phase control antenna array synthesis
is presented. The problem is formulated as a constrained optimization
problem that imposes nulls with prescribed level while maintaining
the sidelobe at a prescribed level. For efficient use of the algorithm
memory, compared to the well known Particle Swarm Optimization
(PSO), the Accelerated Particle Swarm Optimization (APSO) is used
to estimate the phase parameters of the synthesized array. The
objective function is formed using a main objective and set of
constraints with penalty factors that measure the violation of each
feasible solution in the search space to each constraint. In this case
the obtained feasible solution is guaranteed to satisfy all the
constraints. Simulation results have shown significant performance
increases and a decreased randomness in the parameter search space
compared to a single objective conventional particle swarm
optimization.", keywords = "Array synthesis, Sidelobe level control, Constrainedoptimization, Accelerated Particle Swarm Optimization.", volume = "7", number = "5", pages = "642-6", }
