In this paper, a novel two-dimensional super-resolution angle-of-departure (AoD) and angle-ofarrival (AoA) estimation technique is proposed for wideband millimeter-wave multiple-input multipleoutput systems with cross-polarized antenna elements. The key ingredient of the proposed method is to form custom designed beam pairs, and devise an invertible function of the AoD/AoA to be estimated from ...

A complex algebraic group G is in this note a subgroup of GL(n, C), the elements of which are all invertible matrices whose coefficients annihilate some set of polynomials {PM[Xn, • • • , X n n ]} in n 2 indeterminates. I t is said to be defined over a field KQC if the polynomials can be chosen so as to have coefficients in K. Given a subring B of C, we denote by GB the subgroup of elements of ...

It is known on the one hand that a Sturmian sequence can be generated geometrically by the intersections of a straight line with the unit grid in the plane, and on the other hand that fixed points of invertible substitutions are Sturmian. We give a new characterization of invertible substitutions, which allows to determine the straight line which generates the fixed point of a given invertible ...

We introduce groupoids – generalisations of groups in which not all pairs of elements may be multiplied, or, equivalently, categories in which all morphisms are invertible – as the appropriate algebraic structures for dealing with conditional symmetries in Constraint Satisfaction Problems (CSPs). We formally define the Full Conditional Symmetry Groupoid associated with any CSP, giving bounds fo...

The aim of this paper is to study a novel property of Boolean mappings called local intert-ibility. We focus on local invertibility of Boolean mappings which model ltering generators and study the case when ltering function is linear in the last variable.

The set G(B) of invertible elements of B is the main example of a regularity. As was proved in [4], the set of elements of B which are not topological zero divisors is also a regularity. In the present paper, we investigate a construction of joint spectra in B by means of regularities in B. Let σ(a)= {μ∈ C | a−μe ∈G(B)} be the ordinary spectrum in B. Recall that according to the terminology int...

We extend the Larson–Sweedler theorem for weak Hopf algebras by proving that a finite dimensional weak bialgebra is a weak Hopf algebra iff it possesses a non-degenerate left integral. We establish the autonomous monoidal category of the modules of a weak Hopf algebra A and show the semisimplicity of the unit and the invertible modules of A. We also reveal the connection of these modules to lef...

Let F be a finite field, μ fixed additive character and s an integer coprime to |F×|. For any a∈F, the corresponding Weil sum is defined WF,s(a)=∑x∈Fμ(xs−ax). The spectrum counts distinct values of as runs through invertible elements in field. value these sums size are particular interest, they link problems coding information theory other areas math such number arithmetic geometry. In setting ...