A Method of Designing Low-power Feedback Active Noise Control Filter for Headphones/Earphones

헤드폰/이어폰을 위한 저전력 피드백 능동 소음 제어 필터 설계 방법

  • Seo, Ji-ho (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Youn, Dae-Hee (Department of Electrical and Electronic Engineering, Yonsei University) ;
  • Park, Young-Cheol (Computer & Telecommunications Engineering Division, Yonsei University)
  • Received : 2017.01.25
  • Accepted : 2017.02.04
  • Published : 2017.02.28


This paper presented a method of designing low-power feedback active noise control filter optimized for headphones/earphones. Using constrained optimization, we obtained a high order FIR noise control filter to ensure reasonable noise attenuation performance at high sampling frequency environment. Then using infinite impulse response (IIR) approximation method called Balanced Model Truncation (BMT), we obtained a low order IIR noise control filter suitable for low-power digital signal processing system like headphones/earphones. For further performance improvement, we utilized frequency warping method so that we could obtain more accurately approximated IIR filter and we ensured system stability by reconstructing the low order IIR filter in form of cascaded second order IIR filters. ANC simulation with white noise and stability test verified that the proposed algorithm had superior attenuation performance and better robustness compared to the conventional algorithm.

본 논문은 헤드폰/이어폰에 최적화된 저전력 피드백 능동 소음 제어 필터 설계 방법을 제안하였다. 제약 최적화를 이용하여 높은 샘플링 주파수 환경에서 합리적인 소음 저감 성능을 확보하기 위한 높은 차수의 유한 임펄스 응답소음 제어 필터를 얻은 후 무한 임펄스 응답 근사 기법인 Balanced Model Truncation (BMT)를 이용하여 얻어낸 필터를 헤드폰/이어폰과 같은 저전력 디지털 신호처리 시스템에 적합하도록 낮은 차수의 무한 임펄스 응답 소음 제어 필터로 변환하였다. 성능 확보를 위해 주파수 워핑 기법을 이용하여 기존의 높은 차수의 유한 임펄스 응답 소음 제어 필터와 더욱 유사한 주파수 응답을 가지는 무한 임펄스 응답 필터를 얻었으며, 이를 2차 무한 임펄스 응답 필터들의 종속연결 구조로 재구성하여 시스템 전체의 안정성을 높였다. 백색 잡음을 통한 능동 소음 제어 시뮬레이션과 결과 및 안정성 실험 등을 통해 제안하는 기법이 기존의 기법보다 우수한 소음 저감 성능과 안정성을 가짐을 검증하였다.



Supported by : Ministry of Trade, Industry and Energy(MOTIE)


  1. Kuo, Sen M., and Dennis R. Morgan. "Active noise control: a tutorial review." Proceedings of the IEEE 87.6 (1999): 943-973.
  2. Rafaely, Boaz, and Stephen J. Elliott. "H2/$H{\infty}$ active control of sound in a headrest: design and implementation." IEEE Transactions on control systems technology 7.1 (1999): 79-84.
  3. B. Rafaely and S. J. Elloitt, "H2/$H{\infty}$ output feedback design for active control," ISVR, Univ. Southhampton, U.K., Tech. Memo 800, July 1996.
  4. B. Beliczynski, I. Kale, and G. D. Cain, "Approximation of FIR by IIR digital filters: an algorithm based on balanced model reduction," IEEE Transactions on Signal Processing, vol. 4, no.3, pp. 532.542, 1992.
  5. Ahfir, Maamar, Izzet Kale, and Daoud Berkani. "An Alternative Approach to the Balanced Model Truncation Algorithm for Acoustic Minimum-Phase Inverse Filters Order Reduction." ISRN Signal Processing 2011 (2011).
  6. Alan V. Oppenheim, RonaldW. Schafer, with John R. Buck, "Discrete-time Signal Processing," Prentice Hall, 1989.
  7. M. Karjalainen, A. Harma, U. K. Laine and J. Huopaniemi, "Warped filters and their audio applications," Applications of Signal Processing to Audio and Acoustics, 1997. 1997 IEEE ASSP Workshop on, New Paltz, NY, 1997, pp. 4 pp.-.