A New Robust Narrowband Active Noise Control System in the Presence of Frequency Mismatch
- 16 October 2006
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Audio, Speech, and Language Processing
- Vol. 14 (6), 2189-2200
- https://doi.org/10.1109/tasl.2006.872604
Abstract
Narrowband active noise control (ANC) systems have many real-life applications where the noise signals generated by rotating machines are modeled as sinusoidal signals in additive noise. However, when the timing signal sensor, such as a tachometer used to identify the signal frequencies, and the cosine wave generator contain errors, the frequencies of reference sinusoids fed to each ANC channel will then be different from the real primary noise signal frequencies. This difference is referred to as frequency mismatch (FM). In this paper, through extensive simulations, we first demonstrate that the performance capabilities of a conventional parallel form narrowband ANC system using the filtered-x LMS (FxLMS) algorithm degrades significantly even for an FM as small as 1 %. Convergence of the algorithm in the mean sense is also analytically investigated for a better understanding of its performance degradation. Next, we propose a new narrowband ANC system that successfully compensates for the performance degradations due to the FM. The amplitude/phase adjustment of reference sinusoids and the FM mitigations in the proposed system are performed simultaneously in a harmonic fashion such that the influence of the FM can be removed almost completely. Simulations as well as application to a real noise signal are provided to demonstrate the effectiveness of the proposed new systemKeywords
This publication has 10 references indexed in Scilit:
- A new LMS-based Fourier analyzer in the presence of frequency mismatch and applicationsIEEE Transactions on Circuits and Systems I: Regular Papers, 2005
- Real-valued LMS Fourier analyzer for sinusoidal signals in additive noiseSignal Processing, 1998
- Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequencyAutomatica, 1997
- LMS-based notch filter for the estimation of sinusoidal signals in noiseSignal Processing, 1995
- A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filterIEEE Transactions on Signal Processing, 1992
- Development of the filtered-U algorithm for active noise controlThe Journal of the Acoustical Society of America, 1991
- A multiple error LMS algorithm and its application to the active control of sound and vibrationIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- An adaptive IIR structure for sinusoidal enhancement, frequency estimation, and detectionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- Adaptive noise canceling applied to sinusoidal interferencesIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- Adaptive noise cancelling: Principles and applicationsProceedings of the IEEE, 1975