Properties and structure of the analytic singular value decomposition

S Weiss, IK Proudler, G Barbarino… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
We investigate the singular value decomposition (SVD) of a rectangular matrix of functions
that are analytic on an annulus that includes at least the unit circle. Such matrices occur, eg …

An algorithm for calculating the QR and singular value decompositions of polynomial matrices

JA Foster, JG McWhirter, MR Davies… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, a new algorithm for calculating the QR decomposition (QRD) of a polynomial
matrix is introduced. This algorithm amounts to transforming a polynomial matrix to upper …

Compact order polynomial singular value decomposition of a matrix of analytic functions

MA Bakhit, FA Khattak, IK Proudler… - 2023 IEEE 9th …, 2023 - ieeexplore.ieee.org
This paper presents a novel method for calculating a compact order singular value
decomposition (SVD) of polynomial matrices, building upon the recently proven existence of …

A DFT-based approximate eigenvalue and singular value decomposition of polynomial matrices

M Tohidian, H Amindavar, AM Reza - EURASIP Journal on Advances in …, 2013 - Springer
In this article, we address the problem of singular value decomposition of polynomial
matrices and eigenvalue decomposition of para-Hermitian matrices. Discrete Fourier …

Impact of estimation errors of a matrix of transfer functions onto its analytic singular values and their potential algorithmic extraction

M Bakhit, FA Khattak, IK Proudler, S Weiss - arXiv preprint arXiv …, 2024 - arxiv.org
A matrix of analytic functions A (z), such as the matrix of transfer functions in a multiple-input
multiple-output (MIMO) system, generally admits an analytic singular value decomposition …

Novel transceiver beamforming schemes for a MIMO-GFDM system

SMJA Tabatabaee, M Towliat, M Rajabzadeh - Physical Communication, 2021 - Elsevier
Generalized frequency division multiplexing (GFDM) is a multicarrier system to deal with
highly dispersive channels by well-localized non-orthogonal pulse shapes. In order to …

On the periodicity of singular vectors and the holomorphic block-circulant SVD on the unit circumference

G Barbarino - Linear Algebra and its Applications, 2024 - Elsevier
We investigate the singular value decomposition of a rectangular matrix that is analytic on
the complex unit circumference, which occurs, eg, with the matrix of transfer functions …

SINR optimization in wideband full-duplex MIMO relays under limited dynamic range

E Antonio-Rodríguez, R López-Valcarce… - 2014 IEEE 8th …, 2014 - ieeexplore.ieee.org
We develop a method for self-interference mitigation in wideband full-duplex multiple-input
multiple-output regenerative relays, taking into account transmitter impairments and limited …

Lu-based beamforming schemes for MIMO systems

M Mbaye, M Diallo, M Mboup - IEEE Transactions on Vehicular …, 2016 - ieeexplore.ieee.org
We present a time-domain broadband beamforming based on a unimodular-upper
polynomial matrix decomposition. The unimodular factor is the product of elementary J …

Channel shortening equalizer based on SVD decomposition in UWB systems

BB Noureddine, E SidAhmed… - 2015 4th International …, 2015 - ieeexplore.ieee.org
In this paper, we present a novel channel shortening equalizer (CSE) based on the
adaptation of energy optimization method on CSE using singular value decomposition …