Use of oversampled Σ-Δ modulator for analogue adaptive FIR filters based on LMS algorithm

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Use of oversampled Σ-Δ modulator for analogue adaptive FIR filters based on LMS algorithm

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An adaptive FIR filter configuration which uses a Σ-Δ modulator as a front end is proposed for implementing the LMS algorithm in analogue form. The oversampled Σ-Δ modulator converts the filter input into a binary sequence, which can be readily delayed and multiplied with a shift register and on/off switching. Computer simulations show very good performance for such a hardware efficient configuration.

Inspec keywords: switched capacitor filters; least squares approximations; active filters; adaptive filters; modulators

Other keywords: LMS algorithm; shift register; sigma-delta modulator; SC filters; hardware efficient configuration; analogue adaptive FIR filters; oversampled Σ-Δ modulator; binary sequence

Subjects: Active filters and other active networks; Modulators, demodulators, discriminators and mixers

References

    1. 1)
      • Menzi, U., Moschytz, G.S.: `Adaptive switched-capacitor filters based on the LMS algorithm', Proc. ISCAS, May 1990, New Orleans, p. 2220–2223.
    2. 2)
      • J. Candy . A use of double integration in sigma-delta modulation. IEEE Trans. , 249 - 258
    3. 3)
      • B. Widrow , S. Stearns . (1985) , Adaptive signal processing.
    4. 4)
      • Mensi, U.: `Switched-capacitor realisierung von Estimations-Algorithmen für Adaptive Filter und MFSK-Empfanger', 1991, PhD Dissertation, Swiss Federal Institute of Technology, Zürich, Switzerland.
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