Active Noise Control Using Multi-Layered Perceptron Neural Networks

This paper presents the development of a neuro-adaptive active noise control (ANC) system. Multi-layered perceptron neural networks with a backpropagation learning algorithm are considered in both the modelling and control contexts. The capabilities of the neural network in modelling dynamical systems are investigated. A feedforward ANC structure is considered for optimum cancellation of broadband noise in a three-dimensional propagation medium. An on-line adaptation and training mechanism allowing a neural network architecture to characterise the optimal controller within the ANC system is developed. The neuro-adaptive ANC algorithm thus developed is implemented within a free-field environment and simulation results verifying its performance are presented and discussed.

[1]  A. Lapedes,et al.  Nonlinear signal processing using neural networks: Prediction and system modelling , 1987 .

[2]  Robert B. Allen,et al.  Several Studies on Natural Language ·and Back-Propagation , 1987 .

[3]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

[4]  Scott D. Snyder,et al.  Design considerations for active noise control systems implementing the multiple input, multiple output lms algorithm , 1992 .

[5]  Baruch Pletner,et al.  Control of Sound Radiation from Thin Plates , 1997 .

[6]  A. Lapedes,et al.  Nonlinear Signal Processing Using Neural Networks , 1987 .

[7]  Larry J. Eriksson,et al.  The selection and application of an IIR adaptive filter for use in active sound attenuation , 1987, IEEE Trans. Acoust. Speech Signal Process..

[8]  Alain Roure,et al.  Self-adaptive broadband active sound control system , 1985 .

[9]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[10]  J. Burgess Active adaptive sound control in a duct: A computer simulation , 1981 .

[11]  Bernard Widrow,et al.  30 years of adaptive neural networks: perceptron, Madaline, and backpropagation , 1990, Proc. IEEE.

[12]  Federico Girosi,et al.  On the Relationship between Generalization Error, Hypothesis Complexity, and Sample Complexity for Radial Basis Functions , 1996, Neural Computation.

[13]  Craig A. Rogers,et al.  Control of sound radiation with active/adaptive structures , 1992 .

[14]  Stephen J. Elliott,et al.  A multiple error LMS algorithm and its application to the active control of sound and vibration , 1987, IEEE Trans. Acoust. Speech Signal Process..

[15]  S. Billings,et al.  Correlation based model validity tests for non-linear models , 1986 .

[16]  B. Yandell Spline smoothing and nonparametric regression , 1989 .

[17]  Ml Munjal,et al.  An analytical, one‐dimensional, standing‐wave model of a linear active noise control system in a duct , 1988 .

[18]  C. F. Ross An adaptive digital filter for broadband active sound control , 1982 .

[19]  William B. Conover,et al.  Fighting Noise with Noise , 1956 .

[20]  Philip A. Nelson,et al.  The active minimization of harmonic enclosed sound fields, part I: Theory , 1987 .

[21]  Allan Pinkus,et al.  Multilayer Feedforward Networks with a Non-Polynomial Activation Function Can Approximate Any Function , 1991, Neural Networks.

[22]  M. O. Tokhi,et al.  Active noise control systems , 1987 .

[23]  Bernard Widrow,et al.  Improving the learning speed of 2-layer neural networks by choosing initial values of the adaptive weights , 1990, 1990 IJCNN International Joint Conference on Neural Networks.

[24]  Bernard Widrow,et al.  Adaptive switching circuits , 1988 .

[25]  Terrence J. Sejnowski,et al.  NETtalk: a parallel network that learns to read aloud , 1988 .

[26]  M. O. Tokhi,et al.  Radial Basis Function Neuro-Acitve Noise Control , 1996 .

[27]  M. O. Tokhi,et al.  Design and implementation of self-tuning active noise control systems , 1991 .