A Switched-Resistors Implementation of Compensators for Wave Reflections in Transmission Lines

In this paper we propose an approximated current– injection implementation of the wave reflection compensators derived in our previous works that can be easily realized with current technology. First, the (discrete) transfer function of the compensator is approximated by its truncated series. Then, the resulting finite impulse response is realized with switched–shunt resistors. Since the resistors are switched on only during brief time periods, and are actually disconnected after the transient wave reflections phenomenon, the extracted power is small making the implementation practically feasible. Notation We define the differentiation and advance–delay operators, acting on signals x: R→R, as (p^kx)(t)#25B5 d^k/dt^kx(t) and (q^±kx)(t)=x(t±kd/n), respectively, where d∈R+and k,n∈Z+. Their Laplace transform counterparts, which are used to define transfer functions, are s and z = e^{d/n s}, respectively.