Abstract We consider a non-Hermitian matrix orthogonality on contour in the complex plane. Given diagonalizable and rational valued weight, we show that Christoffel–Darboux (CD) kernel, which is built terms of orthogonal polynomials, equivalent to scalar reproducing kernel meromorphic functions Riemann surface. If this surface has genus $0$, then CD polynomials Interestingly, not necessarily ke...

A new approach to assess the orthogonality of two-dimensional (2-D) separation systems based on conditional entropy is developed. It considers the quantitative distribution of peaks in the entire separation space such that the orthogonality obtained is independent of the number of peaks observed for each separation technique. Therefore, it can be used to compare the orthogonality of different 2...

For frequency hypercubes of dimension d > 2, we discuss several generalizations of the usual notion of pairwise orthogonality. We provide some constructions for complete sets of orthogonal frequency hypercubes. 1. Strong orthogonality for frequency hypercubes In this paper we will examine strong forms of orthogonality for frequency hypercubes. The standard de nition requires that each ordered p...

The paper examines the impact of Rician fading on the orthogonality of dual-polarized MIMO channels in a measured urban macrocellular scenario. The measurements confirm the previous finding that the Rician K-factors of the crosspolarized channels are strongly correlated to those of the copolarized channels. However, the Rician K-factors do not in general give direct indications on the orthogona...

We show that limit transitions from Askey-Wilson polynomials to q-Racah, little and big q-Jacobi polynomials can be made rigorous on the level of their orthogonality measures in a suitable weak sense. This allows us to derive the orthogonality relations and norm evaluations for the q-Racah polynomials, little and big q-Jacobi polynomials by taking limits in the orthogonality relations and norm ...