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FIR Adaptive Filters

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Starting Digital Signal Processing in Telecommunication Engineering

Part of the book series: Textbooks in Telecommunication Engineering ((TTE))

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Abstract

In this chapter we learn about adaptive filters that change their weights during work, from sample to sample. The filters use different adaptation equations, resulting from choice of different cost functions that are minimized during signal processing. We learn about least mean squares (LMS) adaptive filters, normalized LMS (NLMS), least squares (LS), weighted LS (WLS), and recursive LS (RLS) adaptive filters but also briefly talk about some other types. The (N)LMS filter, the most frequently used, will be in the center of our attention: we derive its adaptation rule and optimal solution in stationary state (the Wiener filter) and learn its stability criterion. We become familiar with typical application cases of adaptive filters: adaptive interference canceling (AIC), adaptive echo canceling (AEC), adaptive noise canceling (ANC), adaptive signal/line enhancement (ASE)(ALE), and adaptive telecommunication channel identification and equalization. The most popular application scenario of adaptive filters relies on correlation canceling between an information signal with additive disturbance and a reference pattern of this disturbance. Adaptive filter modifies the disturbance reference pattern, i.e. fits it (make it similar) to the actually present disturbance, and subtract from the signal. Disturbance reduction depends on the quality of performed signal correlation.

Dinosaurs failed to survive because they could not adapt to changing world. In contrary to our adaptive filter which knows how to do it.

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Change history

  • 14 January 2022

    This book was inadvertently published with the incorrect copyright year.

References

  1. M. Bellanger, Adaptive Digital Filters (Marcel Dekker, New York, Basel, 2001)

    Book  Google Scholar 

  2. C. Breining, et al., Acoustic echo control - An application of very high order adaptive filters. IEEE Signal Process. Mag. 16(4), 42–69 (1999)

    Article  Google Scholar 

  3. C.F.N. Cowan, P.M. Grant, Adaptive Filters (Prentice Hall, Englewood Cliffs, 1985)

    Google Scholar 

  4. P.S.R. Diniz, Adaptive Filtering: Algorithms and Practical Implementation (Springer, New York, 2002, 2010)

    Google Scholar 

  5. B. Farhang-Boroujeny, Adaptive Filters: Theory and Applications (Wiley, New York, 2000)

    MATH  Google Scholar 

  6. G.-O. Glentis, K. Berberidis, S. Theodoridis, Efficient least squares adaptive algorithms for FIR transversal filtering. IEEE Signal Process. Mag. 16(4), 12–41 (1999)

    Article  Google Scholar 

  7. E. Hansler, G. Schmidt, Acoustic Echo and Noise Control - A Practical Approach (Wiley, Chichester, 2004)

    Book  Google Scholar 

  8. S. Haykin, Adaptive Filter Theory (Prentice Hall, Upper Saddle River, 1996, 2001)

    Google Scholar 

  9. S. Haykin, Modern Filters (Macmillan, New York, 1990)

    Google Scholar 

  10. G.H. Hostetter, Recursive estimation, in Handbook of Digital Signal Processing, ed. by F.D. Elliott (Academic Press, San Diego, 1987), pp. 899–940

    Chapter  Google Scholar 

  11. N. Kalouptsidis, S. Theodoridis, Adaptive System Identification and Signal Processing Algorithms (Prentice Hall, New York, 1993)

    MATH  Google Scholar 

  12. S.M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (PTR Prentice Hall, Englewood Cliffs, 1993)

    Google Scholar 

  13. S.M. Kuo, D.R. Morgan, Active Noise Control Systems: Algorithms and DSP Implementations (Wiley, New York, 1996)

    Google Scholar 

  14. K.-A. Lee, W.-S. Gan, S.M. Kuo, Subband Adaptive Filtering: Theory and Implementation (Wiley, Hoboken NJ, 2009)

    Book  Google Scholar 

  15. D.G. Manolakis, V.K. Ingle, S.M. Kogon, Statistical and Adaptive Signal Processing: Spectral Estimation, Signal Modeling, Adaptive Filtering and Array Processing (McGraw-Hill, Boston, 2000; Artech House, Boston, London, 2005)

    Google Scholar 

  16. S.J. Orfanidis, Optimum Signal Processing. An Introduction (Macmillan, New York, 1988)

    Google Scholar 

  17. A.D. Poularikas, Z.M. Ramadan, Adaptive Filtering Primer with Matlab (CRC, Boca Raton, 2006)

    MATH  Google Scholar 

  18. A.H. Sayed, Adaptive Filters (Wiley-IEEE Press, New York, 2011)

    Google Scholar 

  19. A.H. Sayed, Fundamentals of Adaptive Filtering (Wiley, New York, 2003)

    Google Scholar 

  20. J. Shynk, Frequency-domain and multirate adaptive filtering. IEEE Signal Process. Mag. 10(1), 14–37 (1992)

    Article  Google Scholar 

  21. S. Theodoridis, Adaptive filtering algorithms, in Proc. IEEE Instrumentation and Measurement Technology Conference, Budapest, 2001, pp. 1497–1501

    Google Scholar 

  22. J.R. Treichler, C.R. Johnson, M.G. Larimore, Theory and Design of Adaptive Filters (Wiley, New York, 1987)

    MATH  Google Scholar 

  23. B. Widrow, S. Stearns, Adaptive Signal Processing (Prentice Hall, Englewood Cliffs, 1985)

    Google Scholar 

  24. T.P. Zieliński, Cyfrowe Przetwarzanie Sygnalów. Od Teorii do Zastosowań (Digital Signal Processing. From Theory to Applications) (Wydawnictwa Komunikacji i Ła̧czności (Transport and Communication Publishers), Warszawa, Poland, 2005, 2007, 2009, 2014)

    Google Scholar 

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Authors and Affiliations

  1. Department of Telecommunications, AGH University of Science and Technology, Kraków, Poland

    Tomasz P. Zieliński

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  1. Tomasz P. Zieliński
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Zieliński, T.P. (2021). FIR Adaptive Filters. In: Starting Digital Signal Processing in Telecommunication Engineering. Textbooks in Telecommunication Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-49256-4_12

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  • DOI: https://doi.org/10.1007/978-3-030-49256-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-49255-7

  • Online ISBN: 978-3-030-49256-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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