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Stability condition for certain recursive second-order polynomial filters

Stability condition for certain recursive second-order polynomial filters

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A stability condition for a time-invariant recursive second-order Volterra filter is presented. When the input is bounded by the derived sufficient stability condition, the output of the presented recursive nonlinear filter is guaranteed to be bounded.

Inspec keywords: polynomials; stability; recursive filters; filtering theory; Volterra series

Other keywords: second-order polynomial filters; Volterra filter; recursive nonlinear filter; stability condition; time-invariant filter

Subjects: Digital filters; Digital filters; Interpolation and function approximation (numerical analysis); Signal processing and detection; Information theory; Interpolation and function approximation (numerical analysis)

References

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      • Roy, E., Stewart, R.W., Durrani, T.S.: `Theory and applications of adaptive second order IIR Volterra filters', Proc. IEEE Int. Conf. Acoust. Speech and Signal Processing, May 1996, 3, Atlanta, p. 1597–1601.
    2. 2)
      • Lee, J., Mathews, V.J.: `A stability condition for certain bilinear systems', Proc. 1993 IEEE Winter Workshop on Nonlinear Digital SignalProcessing, 1993, p. 6.2-2.1–2.5.
    3. 3)
      • V.J. Mathews . Adaptive polynomial filters. IEEE Signal Process. Mag. , 10 - 26
    4. 4)
      • Carini, A., Mumolo, E.: `Adaptive stabilisation of recursive second order polynomial filters bymeans of a stability test', Proc. of IEEE 95 Workshop on Nonlinear Signal and Image Processing, 1995, 2, p. 939–942.
    5. 5)
      • E. Roy , R.W. Stewart , T.S. Durrani . High order system identification with an adaptive recursive second orderpolynomial filter. IEEE Signal Process. Lett.
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