Virtual secondary path algorithm for multichannel active control of vehicle powertrain noise

Jie Duan, Mingfeng Li, Teik C. Lim, Ming Ran Lee, Ming Te Cheng, Wayne Vanhaaften, Takeshi Abe

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


An enhanced multiple-input multiple-output (MIMO) filtered-x least mean square (FXLMS) algorithm using improved virtual secondary path is proposed as the basis for an active noise control (ANC) system for treating vehicle powertrain noise. This new algorithm is developed to overcome the limitation caused by the frequency-dependent property of the standard FXLMS algorithm and to reduce the variation of convergence speed inherent in multiple-channel cases, in order to improve the overall performance of the control system. In this study, the convergence property of the proposed algorithm is analyzed in the frequency domain in order to yield a better understanding of the physical meaning of the virtual secondary path. In practice, because of the arrangement and sensitivities of the actuators (speakers), transducers (microphones), and physical environment, the magnitude response of the main secondary paths can be very different from each other. This difference will cause difficulty in the overall convergence of the algorithm, which will result in minimal attenuation at some of the channels. The proposed channel equalized (CE) virtual secondary path algorithm is designed to tackle this difficulty by equalizing the mean magnitude level of the main secondary paths and by adjusting other secondary paths correspondingly to keep the coupling effects among the control channels unchanged. The performance of the proposed algorithm is validated by analyzing a twoinput two-output active powertrain noise control system.

Original languageEnglish (US)
Article number051014
JournalJournal of Vibration and Acoustics
Issue number5
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


  • Active noise control
  • Channel equalization
  • FXLMS algorithm
  • Feedforward control


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