Improved Differential Evolution Strategy for Antenna Array Pattern Synthesis Problems

An Improved Difierential Evolution (IDE) algorithm is proposed for optimization problems. With the novel mutant operation adopting sub-optimal individual, the convergence of Difierential Evolution (DE) algorithm is accelerated without increasing the risk of premature. Five typical test functions are minimized using DE and IDE algorithms, and the results show the superior performance of IDE algorithm. Furthermore, the algorithm is applied to pattern synthesis of two antenna arrays. Broad nulls are formed in radiation pattern of a linear array to suppress broad-band interferences. In a microstrip patch array, the sidelobe level of array is decreased about 12.9dB and the mainlobe can scan to the desired angle.

[1]  Arthur C. Sanderson,et al.  Minimal representation multisensor fusion using differential evolution , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[2]  Yongqiang Hei,et al.  IMPROVED GA AND PSO CULLED HYBRID ALGORITHM FOR ANTENNA ARRAY PATTERN SYNTHESIS , 2008 .

[3]  R. Storn,et al.  On the usage of differential evolution for function optimization , 1996, Proceedings of North American Fuzzy Information Processing.

[4]  Noh-Hoon Myung,et al.  Azimuth Beam Pattern Synthesis for Airborne SAR System Optimization , 2010 .

[5]  M. A. Mangoud,et al.  ANTENNA ARRAY PATTERN SYNTHESIS AND WIDE NULL CONTROL USING ENHANCED PARTICLE SWARM OPTIMIZATION , 2009 .

[6]  Q.-Q. He,et al.  An Efficient Pattern Synthesis Method for Cylindrical Phased Array Antennas , 2009 .

[7]  Qi-Zhong Liu,et al.  PATTERN SYNTHESIS OF CONFORMAL ANTENNA ARRAY BY THE HYBRID GENETIC ALGORITHM , 2008 .

[8]  Qing-Qiang He,et al.  Design of Microstrip Array Antenna by Using Active Element Pattern Technique Combining with Taylor Synthesis Method , 2008 .

[9]  Chih-Yen Chen,et al.  Utilization of a Yagi Antenna Director Array to Synthesize a Shaped Radiation Pattern for Optimum Coverage in Wireless Communications , 2009 .

[10]  Jhen-Yan Jhang,et al.  Application of electromagnetism-like algorithm to phase-only syntheses of antenna arrays , 2008 .

[11]  Wentao Li,et al.  AN IMPROVED PARTICLE SWARM OPTIMIZATION ALGORITHM FOR PATTERN SYNTHESIS OF PHASED ARRAYS , 2008 .

[12]  A. Massa,et al.  Optimization of the difference patterns for monopulse antennas by a hybrid real/integer-coded differential evolution method , 2005, IEEE Transactions on Antennas and Propagation.

[13]  Fan Zhang,et al.  PATTERN SYNTHESIS FOR PLANAR ARRAY BASED ON ELEMENTS ROTATION , 2009 .

[14]  Jing-Li Guo,et al.  Pattern Synthesis of Conformal Array Antenna in the Presence of Platform Using Differential Evolution Algorithm , 2009, IEEE Transactions on Antennas and Propagation.

[15]  G. Liao,et al.  PATTERN SYNTHESIS OF PLANAR ANTENNA ARRAY VIA CONVEX OPTIMIZATION FOR AIRBORNE FORWARD LOOKING RADAR , 2008 .

[16]  Tommaso Isernia,et al.  On the Optimal Synthesis of Ring Symmetric Shaped Patterns by Means of Uniformly Spaced Planar Arrays , 2010 .

[17]  R. G. Ayestaran,et al.  Realistic Antenna Array Synthesis in Complex Environments Using a MOM-SVR Approach , 2009 .

[18]  Shiwen Yang,et al.  Sideband suppression in time-modulated linear arrays by the differential evolution algorithm , 2002 .

[19]  Quanyuan Feng,et al.  Synthesis of Unequally Spaced Antenna Arrays by Using Differential Evolution , 2010, IEEE Transactions on Antennas and Propagation.

[20]  P. N. Suganthan,et al.  Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization , 2009, IEEE Transactions on Evolutionary Computation.

[21]  A. Massa,et al.  Optimization of the Directivity of a Monopulse Antenna With a Subarray Weighting by a Hybrid Differential Evolution Method , 2006, IEEE Antennas and Wireless Propagation Letters.

[22]  Qing Huo Liu,et al.  A NEW METHOD FOR THE SYNTHESIS OF NON- UNIFORM LINEAR ARRAYS WITH SHAPED POWER PATTERNS , 2010 .

[23]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[24]  J.-P. Chiou,et al.  A variable scaling hybrid differential evolution for solving large-scale power dispatch problems , 2009 .

[25]  Urvinder Singh,et al.  LINEAR ARRAY SYNTHESIS USING BIOGEOGRAPHY BASED OPTIMIZATION , 2010 .

[26]  Francisco J. Ares-Pena,et al.  Arbitrary Footprints from Arrays with Concentric Ring Geometry and Low Dynamic Range Ratio , 2010 .

[27]  Raj Mittra,et al.  Synthesis of Phased Arrays in Complex Environments with the Multilevel Characteristic Basis Function Method , 2009 .

[28]  A. Rydberg,et al.  Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm , 2003 .

[29]  Yun-Xue Xu,et al.  Radiation Pattern Synthesis for Arrays of Conformal Antennas Mounted on an Irregular Curved Surface using Modified Genetic Algorithms , 2009 .

[30]  J. M. Sanz,et al.  RADIATION PATTERN SYNTHESIS FOR MAXIMUM MEAN EFFECTIVE GAIN WITH SPHERICAL WAVE EXPANSIONS AND PARTICLE SWARM TECHNIQUES , 2010 .

[31]  Zhun Fan,et al.  Improved Differential Evolution Based on Stochastic Ranking for Robust Layout Synthesis of MEMS Components , 2009, IEEE Transactions on Industrial Electronics.

[32]  Paolo Rocca,et al.  Synthesis of Time-Modulated Planar Arrays with Controlled Harmonic Radiations , 2010 .

[33]  An Zhang,et al.  PATTERN SYNTHESIS OF CYLINDRICAL CONFORMAL ARRAY BY THE MODIFIED PARTICLE SWARM OPTIMIZATION ALGORITHM , 2008 .

[34]  Z. Nie,et al.  The Application of a Modified Differential Evolution Strategy to Some Array Pattern Synthesis Problems , 2008, IEEE Transactions on Antennas and Propagation.