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Characterisation of second-order discrete-time filters

Characterisation of second-order discrete-time filters

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© The Institution of Electrical Engineers
Published

Novel but very simple expressions characterising second-order discrete-time filters are presented. The parameters used are the centre angular frequency and the 3 dB bandwidth. The sensitivity analysis points out that Q (=ω0/ωb) has been misused as the measure related to sensitivity performance of discrete-time filters. Actually the sensitivity is approximately proportional to 1/ω0ωb for narrowband filters.

Inspec keywords: switched capacitor networks; sensitivity analysis; digital filters; switched filters

Other keywords: angular frequency; 3 dB bandwidth; second-order discrete-time filters; sensitivity analysis; switched capacitor filters; digital filters

Subjects: Digital filters; Digital filters; Time varying and switched networks

References

    1. 1)
      • R.C. Agarwal , C.A. Burrus . New recursive digital filter structures having very low sensitivity and roundoff noise. IEEE Trans. , 921 - 927
    2. 2)
      • P.E. Fleischer , K.R. Laker . A family of active switched capacitor biquad building blocks. Bell Syst. Tech. J. , 2235 - 2269
    3. 3)
      • P.E. Fleischer . Sensitivity minimization in a single amplifier biquad circuit. IEEE Trans. , 45 - 55
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