Analysis of Normalized Orthogonal Gradient Adaptive Algorithm Based on Spline Adaptive Filtering for Smart Communication Technology

Authors

  • Theerayod Wiangtong Department of Electrical Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, 1 Chalongkrung Rd., Ladkrabang, Bangkok Thailand https://orcid.org/0000-0002-9836-785X
  • Suchada Sitjongsataporn Department of Electronic Engineering, Mahanakorn Institute of Innovation (MII), Faculty of Engineering and Technology, Mahanakorn University of Technology, 140 Cheumsamphan Rd., Nongchok, Bangkok Thailand https://orcid.org/0000-0002-2357-2365

DOI:

https://doi.org/10.13052/jmm1550-4646.1748

Keywords:

Spline adaptive filtering (SAF), normalized orthogonal gradient adaptive (NOGA) algorithm, nonlinear systems

Abstract

This paper presents a general theoretical framework of spline adaptive filtering based on a normalized version of orthogonal gradient adaptive algorithm. A nonlinear spline adaptive filter normally consists of a linear combination with a memory-less function and a spline function for adaptive approach. We explain how the adaptive linear filter and spline control points are derived in a straightforward iterative gradient-based method. In order to improve the convergence characteristics, the normalized version of orthogonal gradient adaptive algorithm is introduced by the orthogonal projection along with the gradient adaptive algorithm. In addition, a simple form of adaptation algorithm is introduced how to obtain a lower bound on the excess mean square error (MSE) in a theoretical basis. Convergence and stability analysis based on the MSE criterion are proven in terms of the excess MSE. Simulation results reveal that the proposed algorithm achieves more robustness compared with the conventional spline adaptive filtering algorithm.

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Author Biographies

Theerayod Wiangtong, Department of Electrical Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, 1 Chalongkrung Rd., Ladkrabang, Bangkok Thailand

Theerayod Wiangtong received the B.Eng. degree (First-class honors) in electronic engineering from King Mongkut’s Institute of Technology Ladkrabang, the M.Sc. degree in satellite communication from University of Surrey, and the PhD. degree in digital system design, co-design from Imperial College, London, UK. Currently, he is an Assistant Professor with the Department of Electrical Engineering, King Mongkut’s Institute of Technology Ladkrabang. His research interests include digital IC design, hardware/software co-design, embedded systems, algorithm and optimization, and data processing.

Suchada Sitjongsataporn, Department of Electronic Engineering, Mahanakorn Institute of Innovation (MII), Faculty of Engineering and Technology, Mahanakorn University of Technology, 140 Cheumsamphan Rd., Nongchok, Bangkok Thailand

Suchada Sitjongsataporn received the B.Eng. (First-class honors) and D.Eng. degrees in electronic engineering from Mahanakorn University of Technology, Bangkok, Thailand, in 2002 and 2009, respectively. She has been working as a Lecturer with the Department of Electronic Engineering, Mahanakorn University of Technology since 2002. Currently, she is an Associate Professor with the Department of Electronic Engineering and the Associate Dean for Research at Faculty of Engineering and Technology in Mahanakorn University of Technology. Her research interests are mathematical and statistical models in the area of adaptive signal processing for communications, networking, embedded system, image and video processing, and embedded systems.

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Published

2021-06-21

Issue

Section

Smart Innovative Technology for Future Industry and Multimedia Applications