Quaternions in Signal and Image Processing: A comprehensive and objective overview

A General Framework for Constrained Convex Quaternion Optimization

(2021) Julien Flamant et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Quaternion block sparse representation for signal recovery and classification

(2020) Cuiming Zou et al.   SIGNAL PROCESSING

A survey of quaternion neural networks

(2019) Titouan Parcollet et al.   ARTIFICIAL INTELLIGENCE REVIEW

Augmented Quaternion ESPRIT-Type DOA Estimation With a Crossed-Dipole Array

(2019) Hua Chen et al.   IEEE COMMUNICATIONS LETTERS

Performance Analysis of Quaternion-Valued Adaptive Filters in Nonstationary Environments

(2018) Min Xiang et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

A complete framework for linear filtering of bivariate signals

(2018) Julien Flamant et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Quaternion Modulation for Dual-Polarized Antennas

(2017) Jian-Feng Gu et al.   IEEE COMMUNICATIONS LETTERS

Spectral Analysis of Stationary Random Bivariate Signals

(2017) Julien Flamant et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Characterisation and extraction of a Rayleigh-wave mode in vertically heterogeneous media using quaternion SVD

(2017) Angelo Sajeva et al.   SIGNAL PROCESSING

The geometry of proper quaternion random variables

(2017) Nicolas Le Bihan   SIGNAL PROCESSING

Frequency domain quaternion adaptive filters: Algorithms and convergence performance

(2017) Francesca Ortolani et al.   SIGNAL PROCESSING

Time–frequency analysis of bivariate signals

(2017) Julien Flamant et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Complex and Quaternionic Principal Component Pursuit and Its Application to Audio Separation

(2016) Tak-Shing T. Chan et al.   IEEE SIGNAL PROCESSING LETTERS

Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition

(2016) Cuiming Zou et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

Elliptical Monogenic Wavelets for the Analysis and Processing of Color Images

(2016) Raphael Soulard et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Optimization in Quaternion Dynamic Systems: Gradient, Hessian, and Learning Algorithms

(2016) Dongpo Xu et al.   IEEE Transactions on Neural Networks and Learning Systems

The monogenic synchrosqueezed wavelet transform: a tool for the decomposition/demodulation of AM–FM images

(2015) Marianne Clausel et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis

(2015) Yi Xu et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

Color Sparse Representations for Image Processing: Review, Models, and Prospects

(2015) Quentin Barthelemy et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

The Theory of Quaternion Matrix Derivatives

(2015) Dongpo Xu et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Enabling quaternion derivatives: the generalized HR calculus: Table 1.

(2015) Dongpo Xu et al.   Royal Society Open Science

A Quaternion Widely Linear Model for Nonlinear Gaussian Estimation

(2014) Jesus Navarro-Moreno et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Multicomponent Signal Processing for Rayleigh Wave Ellipticity Estimation: Application to Seismic Hazard Assessment

(2012) M. Hobiger et al.   IEEE SIGNAL PROCESSING MAGAZINE

Quaternion-Valued Nonlinear Adaptive Filtering

(2011) Bukhari Che Ujang et al.   IEEE TRANSACTIONS ON NEURAL NETWORKS

Directional Multiscale Amplitude and Phase Decomposition by the Monogenic Curvelet Transform

(2011) Martin Storath   SIAM Journal on Imaging Sciences

A Quaternion Gradient Operator and Its Applications

(2010) D. P. Mandic et al.   IEEE SIGNAL PROCESSING LETTERS

Properness and Widely Linear Processing of Quaternion Random Vectors

(2010) Javier Via et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering

(2010) Clive Cheong Took et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

A Quaternion Widely Linear Adaptive Filter

(2010) Clive Cheong Took et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Generalized Likelihood Ratios for Testing the Properness of Quaternion Gaussian Vectors

(2010) Javier Via et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Quaternion ICA From Second-Order Statistics

(2010) Javier Via et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Augmented second-order statistics of quaternion random signals

(2010) Clive Cheong Took et al.   SIGNAL PROCESSING

Multiresolution Monogenic Signal Analysis Using the Riesz–Laplace Wavelet Transform

(2009) M. Unser et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

The Monogenic Wavelet Transform

(2009) S.C. Olhede et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

Coherent Multiscale Image Processing Using Dual-Tree Quaternion Wavelets

(2008) Wai Lam Chan et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

(2008) C.C. Took et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING