Abstract
The general sensitivity problem with respect to active filter design is presented. The sensitivity of the amplitude and phase characteristics is first given with respect to the shifts in the s-plane of the poles and zeros of a filter transfer function. These shifts are then expressed in terms of frequency and Q variations and it is shown that the amplitude response of a given filter is approximately Q-times more sensitive to variations in the pole frequency than it is to variations in the pole Q. The frequency and Q variations of typical cascaded filter sections are considered. It is shown that the Q stability depends on the gain-sensitivity product with respect to the gain element of a given circuit. Thus the Q stability depends on the type of circuit used to realize each complex pole pair in a filter cascade.
Original language | English |
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Pages (from-to) | 81-105 |
Number of pages | 25 |
Journal | Scientia electrica |
Volume | 21 |
Issue number | 4 |
State | Published - 1975 |