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TECHNICAL PAPERS

Analysis and DSP Implementation of a Broadband Duct ANC System Using Spatially Feedforward Structure

[+] Author and Article Information
Mingsian R. Bai, Yujeng Lin

Department of Mechanical Engineering, National Chiao-Tung University, 1001 Ta-Hsueh Road, Hsin-Chu 300, Taiwan, Republic of China

Jian-Da Wu

Department of Vehicle Engineering & Technology, Da-Yeh University, 112 Shan-Jeau Road, Da-Tsuen, Chang-Hwa 515, Taiwan, Republic of China

J. Vib. Acoust 123(2), 129-136 (Oct 01, 2000) (8 pages) doi:10.1115/1.1355031 History: Received July 01, 1999; Revised October 01, 2000
Copyright © 2001 by ASME
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References

Munjal,  M. L., and Eriksson,  L. J., 1988, “An Analytical, One-dimensional, Standing-Wave Model of a Linear Active Noise Control System in a Duct,” J. Acoust. Soc. Am., 84, pp. 1086–1093.
Roure,  A., 1985, “Self-adaptive Broadband Active Sound Control System,” J. Sound Vib., 101, pp. 429–441.
Elliott,  S. J., and Nelson,  P. A., 1993, “Active Noise Control” IEEE Signal Process. Mag., 10, No. 4, pp. 12–35.
Kuo, S. M., and Morgan, D. R., 1995, Active Noise Control Systems: Algorithms and DSP Implementations, Wiley, New York.
Bai,  M. R., and Lee,  D. J., 1997, “Implementation of an Active Headset by using the H Robust Control Theory,” J. Acoust. Soc. Am., 102, No. 4, pp. 2184–2190.
MacMartin,  D. G., and Hall,  S. R., 1991, “Structural Control Experiments Using and H Power Flow Approach,” J. Sound Vib., 148, No. 2, pp. 223–241.
Hong,  J., and Bernstein,  D. S., 1998, “Bode Integral Constraints, Colocation, and Spillover in Active Noise and Vibration Control,” IEEE Control Syst. Tech., 6, pp. 111–120.
Desoer, C. A., and Kuh, E. S., 1969, Basic Circuit Theory, McGraw-Hill, New York.
Clark,  R. L., and Bernstein,  D. S., 1996, “Hybrid Control: Separation in Design,” J. Sound Vib., 214, No. 4, pp. 784–791.
Bai,  M. R., and Lin,  Z., 1998, “Active Noise Cancellation for a Three-dimensional Enclosure by Using Multiple-Channel Adaptive Control and H Control,” ASME J. Vibr. Acoust., 120, pp. 958–964.
Tomizuka,  M., Tsao,  T. S., and Chew,  K. K., 1989, “Analysis and Synthesis of Discrete-time Repetitive Controllers,” ASME J. Dyn. Syst., Meas., Control, 111, pp. 353–358.
Swinbanks,  M. A., 1973, “The Active Control of Sound Propagation in Long Ducts,” J. Sound Vib., 27, pp. 411–436.
La Fontaine,  R. F., and Shepherd,  I. C., 1983, “An Experimental Study of a Broadband Active Attenuator for Cancellation of Random Noise in Ducts,” J. Sound Vib., 91, No. 3, pp. 351–362.
Beranek, L. L., 1996, Acoustics, Acoustical Society of America, Woodbury, NY.
Bai,  M. R., and Wu,  H. P., 1998, “Robust Control Design of a Sensorless Bass-enhanced Moving-Coil Loudspeaker System,” J. Acoust. Soc. Am., 105, pp. 3283–3289.
Juang, J. N., 1994, Applied System Identification, Prentice-Hall, Englewood Cliffs, NJ.

Figures

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Spatially feedforward structure (a) schematic of the duct ANC system (b) equivalent circuit
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Electro-mechanical analysis of a moving coil speaker (a) equivalent circuit with an ideal transformer (b) circuit reflected to the mechanical side
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The implementable controller involving only electrical voltages
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Equivalent formulations of ideal controller (a) zero spillover controller (b) Roure’s controller
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Roure’s controller (a) frequency response function (b) impulse response function
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Second order filters of hybrid implementation —: Roure’s controller - -: second order filters
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Frequency response functions of CIIR(jω) and CFIR(jω); - -: CFIR(jω); —: CIIR(jω)
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Impulse response functions of hybrid implementation (a) CFIR(jω), (b) CIIR(jω) (c) C(jω)
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Frequency response functions of hybrid implementation (a) magnitude of FIR part (b) magnitude of the IIR part (c) magnitude of the cascaded controller (d) phase of cascaded controller —: hybrid implementation of Roure’s controller; - -: method of electro-mechanical constants of ideal controller
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The experimental arrangement
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Experimental results of active attenuation (a) FIR implementation (b) IIR implementation (c) hybrid implementation using bandpass filter (d) hybrid implementation using Wiener filter —: control off, - -: control on
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Experimental results of active attenuation (a) open end (b) closed end —: control off - -: control on

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