Closed-Form Expressions of Ergodic Capacity and MMSE Achievable Sum Rate for MIMO Jacobi and Rayleigh Fading Channels

Autor: Amor Nafkha, Nizar Demni

Publikováno v: IEEE Access, Vol 8, Pp 149476-149486 (2020)

Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of strong crosstalk between modes and/or cores, the squared singular values of the i

Externí odkaz: https://doaj.org/article/1931954faad148d797364d8068d90cd8

Generalized Bessel function of Type D

Autor: Nizar Demni

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 075 (2008)

We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.

Externí odkaz: https://doaj.org/article/d29001f129c44c25972206d8d7268ab1

Relating moments of self-adjoint polynomials in two orthogonal projections

Autor: Nizar Demni, Tarek Hamdi

Publikováno v: Advances in Operator Theory. 8

Given two orthogonal projections $\{P,Q\}$ in a non commutative tracial probability space, we prove relations between the moments of $P+Q$, of $\sqrt{-1}(PQ-QP)$ and of $P+QPQ$ and those of the angle operator $PQP$. Our proofs are purely algebraic an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5804c64f5a2dbf795e0044776589e0de
https://doi.org/10.1007/s43036-022-00233-x

Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection

Autor: Nizar Demni, Tarek Hamdi

Publikováno v: Journal of Functional Analysis
Journal of Functional Analysis, 2022, ⟨10.1016/j.jfa.2021.109362⟩

The first part of this paper is devoted to the Brown measure of the product of the free unitary Brownian motion by an arbitrary free non negative operator. Our approach follows the one recently initiated by Driver-Hall-Kemp though there are substanti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ed89e6221097cc92311aa79d56c4d25
https://hal.science/hal-03170485

Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion

Autor: Nizar Demni, Tarek Hamdi

Publikováno v: Infinite Dimensional Analysis, Quantum Probability and Related Topics
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2021, 24 (01), pp.2150002. ⟨10.1142/S0219025721500028⟩
Infinite Dimensional Analysis, Quantum Probability and Related Topics, World Scientific Publishing, 2021, 24 (01), pp.2150002. ⟨10.1142/S0219025721500028⟩

International audience; In this paper, we introduce and study a unitary matrix-valued process which is closely related to the Hermitian matrix-Jacobi process. It is precisely defined as the product of a deterministic self-adjoint symmetry and a rando

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c9a6ff46bea924c91864fecd2853892
https://hal.science/hal-03338344