Stability analysis of an active noise control system using single adaptive filter with an external injection noise and an acceleration method of adaptive algorithm

被引：0
作者：
Kobayashi M. [1 ]
机构：
[1] Graduate School of Engineering, Chubu University 1200, Matsumoto-cho, Kasugai, Aichi
来源：
IEEJ Transactions on Electronics, Information and Systems | 2019年 / 139卷 / 07期
关键词：
Active noise control; Adaptive filter; Correlation function; Noise suppression; Signal processing;
D O I：
10.1541/ieejeiss.139.828
中图分类号：
学科分类号：
摘要：
In this paper, the stability analysis of an active noise control system using single adaptive filter with an external injection noise and an acceleration method that makes use of the property of this noise are discussed. The convergence performance of this adaptive algorithm is analyzed from the viewpoint of a property of the Hessian matrix. As a result, it is proved that the Hessian matrix is positive definite even when the power density spectrum of the noise source signal and the external injection noise are different. Furthermore, by selecting the power density spectrum of the external injection noise to be the inverse property of that of the noise source, it is proved that the system with the white noise source and the white injection noise can be realized. Finally, these theoretical considerations are verified by computer simulation. © 2019 The Institute of Electrical Engineers of Japan.
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页码：828 / 834
页数：6
相关论文
共 10 条
  • [1] Kuo S.M., Morgan D.R., Active Noise Control Systems: Algorithm and DSP Implementations, (1996)
  • [2] Widrow B., Stearns S.D., Adaptive Signal Processing, pp. 292-294, (1985)
  • [3] Morgan D.R., An analysis of multiple correlation cancellation loops in a filter with an auxiliary path, IEEE Trans. Acoust., Speech, Signal Processing, ASSP-28, pp. 454-467, (1980)
  • [4] Snyder S.D., Hansen C.H., The effect of transfer function estimation errors on the Filtered-X LMS algorithm, IEEE Trans. Signal Processing, 42, 4, pp. 950-953, (1994)
  • [5] Kobayashi M., Kondo H., Sasaoka N., Itoh Y., A pre-inverse adaptive system using square sum of correlation function for cost function, Trans. IEICE, J93-A, 8, pp. 510-516, (2010)
  • [6] Kobayashi M., Tanaka Y., Shimada T., Nagasaka Y., Sasaoka N., Itoh Y., Active noise control system using SSCF adaptive algorithm, Trans. IEE Japan, 132 C, 8, pp. 1328-1333, (2012)
  • [7] Kajikawa Y., Nomura Y., An active noise control system without secondary path model, Trans. IEICE, J82-A, 2, pp. 209-217, (1999)
  • [8] Zhou D., DeBrunner V., A new active noise control algorithm that requires no secondary path identification based on the SPR property, IEEE Trans. Signal Processing, 55, 5, pp. 1719-1729, (2007)
  • [9] Kobayashi M., Active noise control system using gradient based single adaptive filter, Trans. IEE Japan, 135 C, 8, pp. 986-991, (2015)
  • [10] Kobayashi M., Sasaoka N., Itoh Y., Structure and adaptive algorithm of frequency domain SSCF-ANC system, Trans. IEE Japan, 138 C, 11, pp. 1355-1361, (2018)
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