On the design of sparse arrays using difference sets

2008 ◽  
Author(s):  
Marco Moebus ◽  
Abdelhak M. Zoubir
Keyword(s):  
Difference Sets ◽  
Sparse Arrays

scholarly journals Selector table indexing & sparse arrays

1993 ◽  
Vol 28 (10) ◽  
pp. 259-270 ◽  
Author(s):  
Karel Driesen
Keyword(s):  
Sparse Arrays

Pruned Distributed and Parallel Subarray Beamforming for 3-D Underwater Imaging With Fine-Grid Sparse Arrays

2021 ◽  
pp. 1-16
Author(s):  
Dongdong Zhao ◽  
Peng Chen ◽  
Yingtian Hu ◽  
Ronghua Liang ◽  
Haixia Wang ◽  
...  
Keyword(s):  
Underwater Imaging ◽  
Fine Grid ◽  
Sparse Arrays ◽  
Subarray Beamforming

scholarly journals Hybrid Beamforming for Active Sensing Using Sparse Arrays

2020 ◽  
Vol 68 ◽  
pp. 6402-6417
Author(s):  
Robin Rajamaki ◽  
Sundeep Prabhakar Chepuri ◽  
Visa Koivunen
Keyword(s):  
Active Sensing ◽  
Sparse Arrays ◽  
Hybrid Beamforming

scholarly journals Graphs of vectorial plateaued functions as difference sets

2021 ◽  
Vol 71 ◽  
pp. 101795
Author(s):  
Ayça Çeşmelioğlu ◽  
Oktay Olmez
Keyword(s):  
Difference Sets ◽  
Plateaued Functions

Divisible Semiplanes, Arcs, and Relative Difference Sets

1987 ◽  
Vol 39 (4) ◽  
pp. 1001-1024 ◽  
Author(s):  
Dieter Jungnickel
Keyword(s):  
Projective Plane ◽  
Difference Sets ◽  
Difference Set ◽  
Relative Difference ◽  
List Type ◽  
Relative Difference Set ◽  
Large Collection ◽  
Baer Subplane ◽  
Relative Difference Sets ◽  
Definition Of

In this paper we shall be concerned with arcs of divisible semiplanes. With one exception, all known divisible semiplanes D (also called “elliptic” semiplanes) arise by omitting the empty set or a Baer subset from a projective plane Π, i.e., D = Π\S, where S is one of the following:(i) S is the empty set.(ii) S consists of a line L with all its points and a point p with all the lines through it.(iii) S is a Baer subplane of Π.We will introduce a definition of “arc” in divisible semiplanes; in the examples just mentioned, arcs of D will be arcs of Π that interact in a prescribed manner with the Baer subset S omitted. The precise definition (to be given in Section 2) is chosen in such a way that divisible semiplanes admitting an abelian Singer group (i.e., a group acting regularly on both points and lines) and then a relative difference set D will always contain a large collection of arcs related to D (to be precise, —D and all its translates will be arcs).

scholarly journals Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets

1999 ◽  
Vol 87 (1) ◽  
pp. 74-119 ◽  
Author(s):  
Ronald Evans ◽  
Henk D.L. Hollmann ◽  
Christian Krattenthaler ◽  
Qing Xiang
Keyword(s):  
Difference Sets ◽  
Gauss Sums ◽  
Cyclic Difference Sets ◽  
Jacobi Sums
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