Adaptive Learning Methods for Nonlinear System Modeling

Chapter 12

Echo State Networks for Multidimensional Data: Exploiting Noncircularity and Widely Linear Models

Yili Xia^⁎; Min Xiang^†; Zhe Li^⁎; Danilo P. Mandic^{†    ⁎}Southeast University, School of Information Science and Engineering, Nanjing, P. R. China^†Imperial College London, London, United Kingdom

Abstract

The quaternion domain $\mathbb{H}$ offers a convenient and unified means to process multidimensional data which are typically 3D and 4D, such as those measurements from 3D inertial sensors in body sensor networks and 3D wind modeling from 3D ultrasonic anemometers. To deal with the nonlinear and nonstationary characteristics of real-world multidimensional ...