Square Array Antennas Based on Hadamard Difference Sets

2008 ◽  
Vol 56 (1) ◽  
pp. 263-266 ◽  
Author(s):  
Lazarus E. Kopilovich
Keyword(s):  
Difference Sets ◽  
Array Antennas ◽  
Hadamard Difference Sets ◽  
Square Array

scholarly journals Location Optimization for Square Array Antennas Using Differential Evolution Algorithm

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Erkan Afacan
Keyword(s):  
Differential Evolution ◽  
Antenna Arrays ◽  
Differential Evolution Algorithm ◽  
Difference Sets ◽  
Location Optimization ◽  
Array Antennas ◽  
Evolution Algorithm ◽  
Thinned Array ◽  
Square Array

In recent works thinned arrays giving minimum peak sidelobe levels for planar square antenna arrays are obtained using Hadamard difference sets. In the current work thinned array configurations giving lower peak sidelobe levels than those given in the literature are obtained for square arrays of6×6,8×8,12×12, and16×16elements. Differential evolution algorithm is used in the determination of the antenna locations.

scholarly journals Tiling Groups with Difference Sets

10.37236/5157 ◽  
2015 ◽  
Vol 22 (2) ◽  
Author(s):  
Ante Ćustić ◽  
Vedran Krčadinac ◽  
Yue Zhou
Keyword(s):  
Difference Sets ◽  
Skew Hadamard Difference Sets ◽  
Existence Conditions ◽  
Hadamard Difference Sets ◽  
Necessary Existence

We study tilings of groups with mutually disjoint difference sets. Some necessary existence conditions are proved and shown not to be sufficient. In the case of tilings with two difference sets we show the equivalence to skew Hadamard difference sets, and prove that they must be normalized if the group is abelian. Furthermore, we present some constructions of tilings based on cyclotomy and investigate tilings consisting of Singer difference sets.

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