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A Rapid Introduction to Adaptive Filtering

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSELECTRIC))

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Abstract

The area of adaptive filtering is a very importantone in the vast field of Signal Processing. Adaptive filters areubiquitous in current technology. System identificaction, equalization for communication systems, active noise cancellation,speech processing, sonar, seismology, beamforming, etc, are a few examples from a large set of applications were adaptive filters are used to solve different kinds of problems. In this chapter we provide a short introduction to the adaptive filtering problem and to the different aspects that should be taken into account when choosing or designing an adaptive filter for a particular application.

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Notes

  1. 1.

    Unless otherwise stated, we focus in this book on finite impulse response (FIR) filters, and random signals being time-discrete, real-valued, and zero-mean.

  2. 2.

    Even if some statistical information is available, it can be used combined with the input and reference realization.

References

  1. S. Haykin, Adaptive Filter Theory, 4th edn. (Prentice-Hall, Upper Saddle River, 2002)

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  2. D.G. Manolakis, V.K. Ingle, S.M. Kogon, Statistical and Adaptive Signal Processing (Artech House, Norwood, 2005)

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  3. P.S.R. Diniz, Adaptive Filtering: Algorithms And Practical Implementation, 3rd edn. (Springer, Boston, 2008)

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  4. S. Haykin, Signal processing: where physics and mathematics meet. IEEE Signal Process. Mag. 18, 6–7 (2001)

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Author information

Authors and Affiliations

  1. School of Engineering, University of Buenos Aires, Paseo Colón 850, C1063ACV, Buenos Aires, Argentina

    Leonardo Rey Vega

  2. Department of Engineering, University of Leicester, University Road, Leicester, LE1 7RH, UK

    Hernan Rey

Authors
  1. Leonardo Rey Vega
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  2. Hernan Rey
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Correspondence to Leonardo Rey Vega .

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Rey Vega, L., Rey, H. (2013). Introduction. In: A Rapid Introduction to Adaptive Filtering. SpringerBriefs in Electrical and Computer Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30299-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-30299-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30298-5

  • Online ISBN: 978-3-642-30299-2

  • eBook Packages: EngineeringEngineering (R0)

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