Proper adaptive filtering in four-dimensional Cayley-Dickson algebras

[1]  F. Hussain,et al.  Hypercomplex Graph Collaborative Filtering , 2022, WWW.

[2]  D. Comminiello,et al.  Learning Speech Emotion Representations in the Quaternion Domain , 2022, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[3]  D. Comminiello,et al.  Dual Quaternion Ambisonics Array for Six-Degree-of-Freedom Acoustic Representation , 2022, Pattern Recognit. Lett..

[4]  M. E. Valle,et al.  A General Framework for Hypercomplex-valued Extreme Learning Machines , 2021, Journal of Computational Mathematics and Data Science.

[5]  Danilo P. Mandic,et al.  Quaternion-Valued Distributed Filtering and Control , 2020, IEEE Transactions on Automatic Control.

[6]  Jesús Navarro-Moreno,et al.  Tessarine signal processing under the T-properness condition , 2020, J. Frankl. Inst..

[7]  Tokunbo Ogunfunmi,et al.  The Quaternion Stochastic Information Gradient Algorithm for Nonlinear Adaptive Systems , 2019, IEEE Transactions on Signal Processing.

[8]  Rui Xue,et al.  Quaternion Filtering Based on Quaternion Involutions and its Application in Signal Processing , 2019, IEEE Access.

[9]  Danilo P. Mandic,et al.  Hypercomplex Widely Linear Estimation Through the Lens of Underpinning Geometry , 2019, IEEE Transactions on Signal Processing.

[10]  I. Ali A note on quaternion matrices and split quaternion matrix pencils , 2018 .

[11]  Danilo P. Mandic,et al.  Performance Analysis of Quaternion-Valued Adaptive Filters in Nonstationary Environments , 2018, IEEE Transactions on Signal Processing.

[12]  Danilo P. Mandic,et al.  Cost-effective quaternion minimum mean square error estimation: From widely linear to four-channel processing , 2017, Signal Process..

[13]  Danilo Comminiello,et al.  On 4-Dimensional Hypercomplex Algebras in Adaptive Signal Processing , 2017, Neural Advances in Processing Nonlinear Dynamic Signals.

[14]  Danilo Comminiello,et al.  Frequency-Domain Adaptive Filtering in Hypercomplex Systems , 2015, Advances in Neural Networks.

[15]  Danilo P. Mandic,et al.  Performance Bounds of Quaternion Estimators , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[16]  Isao Yamada,et al.  An Algebraic Translation of Cayley-Dickson Linear Systems and Its Applications to Online Learning , 2014, IEEE Transactions on Signal Processing.

[17]  João Paulo Carvalho Lustosa da Costa,et al.  Widely linear SIMO filtering for hypercomplex numbers , 2011, 2011 IEEE Information Theory Workshop.

[18]  Danilo P. Mandic,et al.  Augmented second-order statistics of quaternion random signals , 2011, Signal Process..

[19]  Danilo P. Mandic,et al.  A Quaternion Widely Linear Adaptive Filter , 2010, IEEE Transactions on Signal Processing.

[20]  Heinz G. Göckler,et al.  Hypercomplex algebras in digital signal processing: Benefits and drawbacks , 2007, 2007 15th European Signal Processing Conference.

[21]  Soo-Chang Pei,et al.  Commutative reduced biquaternions and their Fourier transform for signal and image processing applications , 2004, IEEE Transactions on Signal Processing.

[22]  Engin Cemal Mengüç,et al.  A Class of Online Censoring Based Quaternion-Valued Least Mean Square Algorithms , 2023, IEEE Signal Processing Letters.

[23]  Dongyuan Lin,et al.  Maximum Total Quaternion Correntropy for Adaptive Filtering , 2022, IEEE Transactions on Signal Processing.

[24]  Y. Yaylı,et al.  MATRIX THEORY OVER THE SPLIT QUATERNIONS , 2014 .

[25]  N. L. Bihan On Properness Of Quaternion Valued Random Variables , 2006 .

[26]  Daniel J. Alfsmann,et al.  On families of 2N-dimensional hypercomplex algebras suitable for digital signal processing , 2006, 2006 14th European Signal Processing Conference.