Time-scaled electrical networks. Properties and applications in the design of programmable analog filters

In this paper, we discuss the properties of time-scaled electrical networks. Two specific ways of implementing scaled linear networks, constant conductance scaling and constant-capacitance scaling, are reviewed along with their noise properties. We then extend time scaling to nonlinear networks. We show that constant-capacitance scaled networks are optimal with respect to noise and dynamic range, irrespective of the scaling factor.