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Passivity properties of low-sensitivity digital filter structures

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2 Author(s)

A general representation of a class of low passband sensitivity digital filter structures is proposed. The proposed representation for a transfer function of order N consists of an (N + 1) -pair memoryless system terminated at N -pairs by delays. The (N + 1) -pair system contains only adders and multipliers, and is described by an orthogonal transfer matrix. The set of terminating delays can be looked upon as an N -pair system with transfer matrix z^{-1}{\bf 1} . Certain wave digital filter structures, Gray-Markel lattice structures and the coupled-form biquadratic section belong to the general form advanced here. Several properties satisfied in these special cases are derived in a unified manner using the generalized representation. Also, a quantization scheme that makes the structure free from zero-input limit cycles even under time-varying conditions is advanced, unifying similar such results independently reported for the above well-known structures.

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Circuits and Systems, IEEE Transactions on  (Volume:32 ,  Issue: 3 )