Aryan Singh
Independent Researcher
India
Abstract
This manuscript presents the design, implementation, and evaluation of an adaptive noise cancellation (ANC) system using the least-mean-squares (LMS) algorithm in MATLAB. We develop a real-time simulation framework to attenuate stationary and non-stationary noise corrupting a primary speech signal. Performance metrics—signal-to-noise ratio improvement (ΔSNR), convergence speed, and residual noise power—are analyzed. Simulation results demonstrate ΔSNR gains up to 15 dB for stationary noise and 10 dB for non-stationary noise within 5 × 10³ iterations. The study confirms the LMS algorithm’s effectiveness and highlights parameter tuning trade-offs critical for real-time embedded implementations.
Keywords
Adaptive noise cancellation, least-mean-squares, MATLAB, signal-to-noise ratio, real-time simulation
References
- Widrow and M. E. Hoff, “Adaptive switching circuits,” in IRE WESCON Convention Record, vol. 4, pp. 96–104, 1960.
- Haykin, Adaptive Filter Theory, 3rd ed., Prentice-Hall, 1996.
- H. Sayed, Fundamentals of Adaptive Filtering, Wiley, 2003.
- Elliott, M. A. L. Thrasher, and J. Kerwin, “Adaptive noise cancellation in hearing aids,” IEEE Trans. ASSP, vol. 35, no. 4, pp. 555–560, 1987.
- M. Kuo and D. R. Morgan, “Active noise control: A tutorial review,” Proc. IEEE, vol. 87, no. 6, pp. 943–973, Jun. 1996.
- H. Lee and D. H. Kim, “Variable-step LMS algorithm for echo cancellation,” in Proc. IEEE ICASSP, pp. 241–244, 2009.
- Luo, Y. Zhang, and X. Chen, “Real-time ANC system design using MATLAB/Simulink,” in Proc. IEEE ICSPCS, pp. 123–127, 2011.
- M. Islam and C. K. Cheah, “Step-size optimization in LMS adaptive filters,” IET Signal Process., vol. 6, no. 7, pp. 675–682, 2012.
- dela Cruz, A. Lopez, and M. Dela Rosa, “FPGA implementation of LMS-based noise canceller for mobile devices,” IEEE Trans. Consumer Electron., vol. 60, no. 2, pp. 198–205, May 2014.
- Zhang and Y. Chen, “A hybrid RLS-LMS approach for fast converging ANC,” in Proc. IEEE DSP Workshop, pp. 45–49, 2015.
