On quaternion analyticity : enabling quaternion-valued nonlinear adaptive filtering.

• Main Authors: Che Ujang, Bukhari, Took, Clive Cheong, Mandic, Danilo P.
• Format: Conference or Workshop Item
• Language: English; English
• Published: 2012
• Online Access: http://psasir.upm.edu.my/id/eprint/31822/1/31822.pdf; http://psasir.upm.edu.my/id/eprint/31822/

The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-valued functions are analytic, prohibiting the development of quaternion-valued nonlinear adaptive filters for the recurrent neural network architecture (RNN). In this work, the requirement of local...