This paper provides algebraic criteria for the number of inductors and capacitors which must be present in a realisation of a given electrical impedance function. The criteria are expressed in terms of the rank and signature of the associated Hankel, or Sylvester, or Bezoutian matrix, or equivalently in terms of an extended Cauchy index.

Installing force-controlled end-effectors on the end of industrial robots has become mainstream method for robot force control. Additionally, during polishing process, contact stability an important impact quality. However, due to difference between structure and end-effector, in operation, direct control will have transition from noncontact tool workpiece. Although impedance can solve this pro...

We prove a new global stability estimate for the Gel’fandCalderón inverse problem on a two-dimensional bounded domain. Specifically, the inverse boundary value problem for the equation −∆ψ+v ψ = 0 on D is analysed, where v is a smooth real-valued potential of conductivity type defined on a bounded planar domain D. The main feature of this estimate is that it shows that the more a potential is s...

In the design of cascode CMOS low-noise amplifiers, the gate-drain capacitance is generally neglected because it is thought to be small enough compared to gate-source capacitance. However, a careful examination will reveal the fact that the drain impedance of the input transistor significantly affects the input impedance through the gate-drain capacitance, especially as the CMOS technology gett...

Microfabricated impedance cytometers have been developed to measure the electrical impedance of single biological particles at high speed. A general approach to analytically solve the electric field distributions for two different designs of cytometers: parallel facing electrodes and coplanar electrodes, using the Schwarz-Christoffel Mapping method is presented. Compared to previous analytical ...

In disease prophylaxis, single cell inspection provides more detailed data compared to conventional examinations. At the individual cell level, the electrical properties of the cell are helpful for understanding the effects of cellular behavior. The electric field distribution affects the results of single cell impedance measurements whereas the electrode geometry affects the electric field dis...