Imaging using interferometer arrays based on the Van Cittert-Zernike theorem has been widely used in astronomical observation. Recently it was shown that superresolution can be achieved this system for imaging two weak thermal point sources. Using quantum estimation theory, we consider fundamental limit of resolving transverse separation strong sources arrays, and show resolution is not limited...

This paper investigates the construction of 8-QAM+ perfect arrays with at least an odd integer in their sizes, and gives the sufficient condition producing distinct 8-QAM+ perfect arrays. For different choices of odd integers in a given size of at least an odd integer, the resultant distinct 8-QAM+perfect arrays have their own sizes. For each choice, the number of the resultant distinct 8-QAM+p...

This correspondence improves and extends bounds on the numbers of sensors, redundancies, and holes for sparse linear arrays to sparse planar and volume arrays. As an application, the efficiency of regular planar and volume arrays with redundancies but no holes is deduced. Also, examples of new redundancy and hole square arrays, found by exhaustive computer search, are given.

We investigate the distance vectors contained in individual Costas arrays and in pairs of Costas arrays, and prove some rigorous results in the case of the algebraically constructed arrays. Overall, it appears that the set with the property that every Costas array has a distance vector in this set, or that every pair of Costas arrays with a common vector have a common vector in this set, is in ...

This paper introduces new type of m-ary systolic arrays called m-ary reversible systolic arrays which extends the new concept of two-valued reversible systolic arrays that was introduced in the first part of my article. The m-ary quantum systolic architectures’ computations of the new type of systolic arrays are also introduced. The new m-ary systolic arrays maintain the high level of regularit...

In this paper we define a new class of partially filled arrays, called λ-fold relative Heffter that are generalization the arrays introduced by Archdeacon in 2015. After showing connection concept with several other ones, such as signed magic graph decompositions and difference families, determine some necessary conditions present existence results for infinite classes these arrays. last part a...