Filtered-X Lyapunov algorithm for nonlinear active noise control using second-order Volterra filter

Author

Zhao, Haiquan ; Zhang, Jiashu

Author_Institution

Key Lab. of Signal & Inf. Process. of Sichan Province, Southwest Jiaotong Univ., Chengdu

fYear

2008

fDate

10-12 Nov. 2008

Firstpage

497

Lastpage

500

Abstract

This paper presents a filtered-X Lyapunov algorithm for nonlinear active noise control (ANC) using second-order Volterra filter-based the filter-blank structure. Unlike many adaptive filtering schemes using gradient algorithm, a Lyapunov function of the tracking error is first defined, and second-order Volterra filter coefficients are adjusted using Lyapunov stability theory so that the error converges to zero asymptotically. Moreover, it has fast error convergence property and its stability is guaranteed by Lyapunov stability theory.

Keywords

Lyapunov matrix equations; active noise control; nonlinear filters; Lyapunov function; Lyapunov stability theory; filtered-X Lyapunov algorithm; nonlinear active noise control; second-order Volterra filter; tracking error; Acoustic noise; Active noise reduction; Adaptive filters; Convergence; Finite impulse response filter; Information filtering; Information filters; Lyapunov method; Noise cancellation; Signal processing algorithms; Active noise control; Lyapunov stability theory; adaptive second-order Volterra filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Communication Technology, 2008. ICCT 2008. 11th IEEE International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-4244-2250-0

Electronic_ISBN

978-1-4244-2251-7

Type

conf

DOI

10.1109/ICCT.2008.4716090

Filename

4716090