Design of Zero-Sensitivity Frequency-Selective Integrated Circuits

This paper presents techniques for achieving various combinations of zero-incremental and zero-gross-sensitivity integrated (active
RC
filter circuits. Use is made of the fact that in the usual integrated circuit, all the capacitors have the same temperature coefficient, and similarly with the resistors. It is shown how this may be exploited to achieve for the system complex pole pair: 1) zero incremental sensitivity to temperature variations at a single temperature
T_{1}
; 2) identical values at any two temperatures
T_{1}, T_{2}
3) incremental sensitivity at
T_{1}
and identical values at
T_{1}, T_{2}
; 4) identical values at
T_{1}, T_{2}, T_{3}
. The techniques are applicable whenever each member of the same class of elements (such as resistors, capacitors, etc.) has the same relative change from the nominal.