Quaternions in Signal and Image Processing: A comprehensive and objective overview
Quaternions are still largely misunderstood and often considered an “exotic” signal
representation without much practical utility despite the fact that they have been around the …
representation without much practical utility despite the fact that they have been around the …
Quaternion structure of azimuthal instabilities
G Ghirardo, MR Bothien - Physical Review Fluids, 2018 - APS
Rotationally symmetric systems can exhibit acoustic fluctuations in the azimuthal direction. In
experimental works the nature (standing or spinning) of these fluctuations is often described …
experimental works the nature (standing or spinning) of these fluctuations is often described …
Vector acoustic and polarization properties of underwater ship noise
Vector acoustic field properties measured during the 2017 Seabed Characterization
Experiment (SBCEX17) are presented. The measurements were made using the Intensity …
Experiment (SBCEX17) are presented. The measurements were made using the Intensity …
[HTML][HTML] Polarization of ocean acoustic normal modes
In ocean acoustics, shallow water propagation is conveniently described using normal mode
propagation. This article proposes a framework to describe the polarization of normal …
propagation. This article proposes a framework to describe the polarization of normal …
Quaternion Fourier Transform spectral analysis of electrical currents for bearing faults detection and diagnosis
LE Rikam, L Bitjoka, A Nketsa - Mechanical Systems and Signal Processing, 2022 - Elsevier
This paper suggests a new method for detecting and diagnosing bearing faults in three-
phase asynchronous devices using the periodogram estimation of the Power Spectral …
phase asynchronous devices using the periodogram estimation of the Power Spectral …
Quaternion-based multiscale analysis for feature extraction of hyperspectral images
This paper proposes a new method called multiscale quaternion Weber local descriptor
histogram (MQWLDH) for feature extraction of hyperspectral images (HSIs), which is used to …
histogram (MQWLDH) for feature extraction of hyperspectral images (HSIs), which is used to …
Quaternion non-negative matrix factorization: Definition, uniqueness, and algorithm
This article introduces quaternion non-negative matrix factorization (QNMF), which
generalizes the usual non-negative matrix factorization (NMF) to the case of polarized …
generalizes the usual non-negative matrix factorization (NMF) to the case of polarized …
A complete framework for linear filtering of bivariate signals
J Flamant, P Chainais… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is
proposed based on tailored quaternion Fourier transform. This framework features a direct …
proposed based on tailored quaternion Fourier transform. This framework features a direct …
Conventional Beamforming Algorithm Based on Polarization Filtering for an Acoustic Vector-Sensor Linear Array Mounted Near a Baffle
H Chen, Z Zhu, D Yang - IEEE Journal of Oceanic Engineering, 2024 - ieeexplore.ieee.org
We investigate the beamforming method for detecting signals and estimating their directions
of arrival for an acoustic vector-sensor linear array mounted near a baffle. The array …
of arrival for an acoustic vector-sensor linear array mounted near a baffle. The array …
Block-Diagonalization of Quaternion Circulant Matrices with Applications
It is well known that a complex circulant matrix can be diagonalized by a discrete Fourier
matrix with imaginary unit. The main aim of this paper is to demonstrate that a quaternion …
matrix with imaginary unit. The main aim of this paper is to demonstrate that a quaternion …