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Expectation Propagation Detection with Neumann-Series Approximation for Massive MIMO

IEEE Workshop on Signal Processing Systems, 2018
For massive multiple-input multiple-output (MIMO) systems, signal detection is always a key concern. Traditional detection methods such as minimum mean square error (MMSE) all suffer from a variety of problems in respect of complexity and performance ...
Yaping Zhang   +5 more
semanticscholar   +1 more source

On a second type Neumann series of modified Bessel functions of the first kind

, 2020
The main aim of this article is to establish a summation formula for the second type Neumann series which members contain a product of two modified Bessel functions of the first kind of not necessarily equal orders and arguments.
Dragana Jankov Maširević, T. Pogány
semanticscholar   +1 more source

A Low Complexity High Performance Weighted Neumann Series-based Massive MIMO Detection

Wireless and Optical Communications Conference, 2019
In massive multiple-input multiple-output (MIMO) system, Neumann series (NS) expansion-based linear minimum mean square error (LMMSE) detection has been proposed due to its simple and efficient multi-stage pipeline hardware implementation.
Xiaofei Liu   +4 more
semanticscholar   +1 more source

On Neumann-Bessel series

Approximation Theory and its Applications, 1996
Let \((J_n)\) be the sequence of Bessel functions of integer order, and let \((O_n)\) be the sequence of Neumann polynomials, i.e. \[ O_0 (z)= {1\over z}, \qquad O_n (z)= {1\over 4} \biggl( {2\over z} \biggr)^{n+1} \sum_{\nu =0}^{[ n/2 ]} {{n(n- \nu- 1)!} \over {\nu!}} \biggl( {z\over 2} \biggr)^{2\nu} \] for \(n\in \mathbb{N}\).
openaire   +2 more sources

Use of Neumann series decomposition to fit the Weighted Euclidean distance and Inner product scoring models in automatic speaker recognition

Pattern Recognition Letters, 2019
It is commonly agreed that the main performance indicators in real life biometric applications are: accuracy, calibration quality and computation cost in the case of large databases use.
Mourad Djellab   +2 more
semanticscholar   +1 more source

A Neumann series of Bessel functions representation for solutions of Sturm–Liouville equations

Calcolo, 2016
A Neumann series of Bessel functions (NSBF) representation for solutions of Sturm–Liouville equations and for their derivatives is obtained. The representation possesses an attractive feature for applications: for all real values of the spectral ...
V. Kravchenko, S. Torba
semanticscholar   +1 more source

Integral Representation for Bessel’s Functions of the First Kind and Neumann Series

Results in Mathematics, 2017
A Fourier-type integral representation for Bessel’s functions of the first kind and complex order is obtained by using the Gegenbauer extension of Poisson’s integral representation for the Bessel function along with a suitable trigonometric integral ...
E. De Micheli
semanticscholar   +1 more source

MAL'CEV–NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS

Asian-European Journal of Mathematics, 2012
In this paper we show that: if G is a totally ordered group and R is a G-Armendariz ring (an NI ring with nil (R) is nilpotent), then the ring Λ = R((G; σ; τ)) of Mal'cev–Neumann series is a right zip (weak zip) ring if and only if R is.
Salem, R. M.   +2 more
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Iterative Methods and Neumann Series

2006
Abstract In this chapter we take a new look at the iterative method introduced in Chapter 1. Our goal will be to introduce the Neumann series, the terms of which involve iterations of the kernel of an integral equation, and use this series to derive the solution of the equation.
openaire   +1 more source

Convergence of the Neumann Series in BEM for the Neumann Problem of the Stokes System

Acta Applicandae Mathematicae, 2011
The boundary value problem to the Stokes system is considered in a bounded domain \(\Omega\subset\mathbb{R}^m\) with connected Lipschitz boundary \(\Gamma\) \[ \begin{cases} \Delta u-\nabla p=0,\quad \text{div}\,u=0&\text{in}\;\Omega,\\ \mathbb{T}(u,p)n=g &\text{on}\;\partial\Omega=\Gamma.
openaire   +3 more sources

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