Title
Efficient Implementation of Volterra Diagonal Bilinear Filter for Nonlinear Active Noise Control
Abstract
In this paper, a channel reduced implementation with a bounded input bounded output (BIBO) stable control strategy of the Volterra expansion diagonal-structure bilinear filtered-x least mean square (VDBFXLMS) algorithm is proposed for nonlinear active noise control (NANC) system. We analyze the computational complexity to show the significant reduction of computational load. Using 2 channels for feedforward Volterra section and 2 channels for bilinear cross section in the proposed implementation, the channel reduced VDBFXLMS (CRVDBFXLMS) algorithm achieves 79.6% reduction of multiplications given the secondary path with a length of 15 coefficients when comparing with the standard VDBFXLMS algorithm. We also derive the sufficient BIBO stable condition and design a control strategy to remedy the unstable problem. The computer simulations are given to validate the efficiency and effectiveness.
Year
DOI
Venue
2019
10.1109/CCECE.2019.8861988
2019 IEEE Canadian Conference of Electrical and Computer Engineering (CCECE)
Keywords
Field
DocType
Nonlinear active noise control,Volterra expansion bilinear filter,BIBO stable control,3D diagonal structure
Least mean squares filter,Diagonal,Computer science,Control theory,Communication channel,Electronic engineering,BIBO stability,Computational complexity theory,Feed forward,Bilinear interpolation,Bounded function
Conference
ISSN
ISBN
Citations 
0840-7789
978-1-7281-0320-4
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Xinnian Guo111.06
Jean Jiang2176.92
Lizhe Tan302.03
Sidan Du431431.20