Appendix A

Differential Integrator with Finite Gain Amplifier

Eq. A.1

Eq. A.2

Eq. A.3

By subtracting Eq. A.3 from Eq. A.2,

Eq. A.4

Eq. A.5

Eq. A.6

Eq. A.7

Note, the final transfer function does not contain the usual "-" sign that is associated with an integrator. This is due to the way the input variables are defined.

With a first order approximation of the amplifier by,

Eq. A.8

the filter transfer function can be derived as follows:

Eq. A.9

Eq. A.10

Eq. A.11

Eq. A.12