Abstract
In this paper a fast array adaptive IIR filter in active noise and vibration control setup is presented. This fast array implementation is an extended form of the fast array algorithms for FIR filter which is studied in literature before. Since the original algorithm derived for ANVC applications was based on RLS recursion its computational complexity was of order O(n 2) and it was also vulnerable to round-off and finite precision errors that may occur in real-time implementation of the algorithm. The proposed fast array solution of this algorithm not only reduces its computational complexity to the order of O(n) with the same performance, but also because of its matrix nature it has good numerical stability in real-time applications which is a necessity in active noise and vibration control applications.
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References
Elliot, S.J.: Signal Processing for Active Control. Academic Press, London (2001)
Auspitzer, T., Guicking, D., Elliott, S.J.: Using a Fast-Recursive-Least-Squared Algorithm in a Feedback-Controller. In: IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, pp. 61–64 (1995)
Bouchard, M.: Numerically Stable Fast Convergence Least-Squares Algorithms for Multichannel Active Sound Cancellation Systems and Sound Deconvolution Systems. Signal Processing 82(5), 721–736 (2002)
Bouchard, M., Quednau, S.: Multichannel Recursive-Least-Squares Algorithms and Fast-Transversal-Filter Algorithms for Active Noise Control and Sound Reproduction Systems. IEEE Transactions on Speech and Audio Processing 8(5), 606–618 (2000)
Sayed, A.H.: Fundamentals of Adaptive Filtering. John Wiley & Sons, New Jersey (2003)
Diego, M., Gonzalez, A., Ferrer, M., Pinero, G.: An Adaptive Algorithms Comparison for Real Multichannel Active Noise Control. In: Proceeding of 12th European Signal Processing Conference (EUSIPCO 2004), Austria (2004)
Eriksson, L.J., Allie, M.C., Greiner, R.A.: The Selection and Application of an IIR Adaptive Filter For Use in Active Sound Attenuation. IEEE Transactions on Acoustics, Speech, and Signal Processing 35(4), 433–437 (1987)
Snyder, S.D.: Active control using IIR filters-A second look. In: IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 2, pp. 241–244 (1994)
Mosquera, C., Gomez, J.A., Perez, F., Sobreira, M.: Adaptive IIR Filters for Active Noise Control. In: Proceeding of 6th International Congress on Sound and Vibration (1999)
Montazeri, A., Poshtan, J.: A Novel Technique for Design and Stability Analysis of Adaptive IIR Filters in ANVC Aplications. In: IEEE International Conference on Signal Processing and Communication (ICSPC 2007), Dubai, U.A.E, vol. 1, pp. 524–527 (2007)
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Montazeri, A., Poshtan, J. (2008). Reducing the Computational Complexity of an RLS-Based Adaptive Controller in ANVC Applications. In: Sarbazi-Azad, H., Parhami, B., Miremadi, SG., Hessabi, S. (eds) Advances in Computer Science and Engineering. CSICC 2008. Communications in Computer and Information Science, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89985-3_32
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DOI: https://doi.org/10.1007/978-3-540-89985-3_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89984-6
Online ISBN: 978-3-540-89985-3
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