Phasor representation for narrowband active noise control systems

  • Authors:
  • Fu-Kun Chen;Ding-Horng Chen;Yue-Dar Jou

  • Affiliations:
  • Department of Computer Science and Information Engineering, Southern Taiwan University, Yung-Kang City, Tainan County, Taiwan;Department of Computer Science and Information Engineering, Southern Taiwan University, Yung-Kang City, Tainan County, Taiwan;Department of Computer Science and Information Engineering, Southern Taiwan University, Yung-Kang City, Tainan County, Taiwan and Department of Electrical Engineering, ROC Military Academy, Feng-S ...

  • Venue:
  • EURASIP Journal on Audio, Speech, and Music Processing - Intelligent Audio, Speech, and Music Processing Applications
  • Year:
  • 2008

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Abstract

The phasor representation is introduced to identify the characteristic of the active noise control (ANC) systems. The conventional representation, transfer function, cannot explain the fact that the performance will be degraded at some frequency for the narrowband ANC systems. This paper uses the relationship of signal phasors to illustrate geometrically the operation and the behavior of two-tap adaptive filters. In addition, the best signal basis is therefore suggested to achieve a better performance from the viewpoint of phasor synthesis. Simulation results show that the well-selected signal basis not only achieves a better convergence performance but also speeds up the convergence for narrowband ANC systems.