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Adaptive Filtering pp 307–346Cite as

Adaptive IIR Filters

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Abstract

Adaptive infinite impulse response (IIR) filters are those in which the zeros and poles of the filter can be adapted. For that benefit, the adaptive IIR filters usually have adaptive coefficients on the transfer function numerator and denominator. (There are adaptive filtering algorithms with fixed poles.) Adaptive IIR filters present some advantages as compared with the adaptive FIR filters, including reduced computational complexity. If both have the same number of coefficients, the frequency response of the IIR filter can approximate much better a desired characteristic.

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Notes

  1. 1.

    There are adaptive filtering algorithms with fixed poles.

  2. 2.

    The reader should note that this definition of the deterministic weighted least squares utilizes the a priori error with respect to the latest data pair d(k) and x(k), unlike the FIR RLS case.

  3. 3.

    By differentiating \(2{\mathbf{{g}}}_D(k)\) in (10.21) with respect to \({{\varvec{\theta }}(k)}\).

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  1. Universidade Federal do Rio de Janeiro, Niterói, Rio de Janeiro, Brazil

    Paulo S. R. Diniz

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Diniz, P.S.R. (2020). Adaptive IIR Filters. In: Adaptive Filtering. Springer, Cham. https://doi.org/10.1007/978-3-030-29057-3_10

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  • DOI: https://doi.org/10.1007/978-3-030-29057-3_10

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