Circuit Theory Based on New Concepts and Its Application to Quantum Theory: 7. Wave Digital Filters for Commensurate Transmission Line Circuits
Because commensurate transmission line circuits consisting of unit elements (UEs) are expressed using a ztransform, wave digital filters (WDFs) and a transient phenomenon can be obtained. There are two types of WDF, i.e. voltage and current WDFs, and hence the reactive power in the steady state can also be obtained. Moreover, normalized WDFs can be obtained using ideal transformers. By applying the construction method for WDFs to resonant tunneling diodes (RTDs) RTDs can be expressed similarly to WDFs. We show that physical phenomena defined as the wave function of quantum wells and the existence probability of electrons correspond to the voltage standing wave generated along the UEs of WDFs. Note that RTDs can be resonant even if the standing wave exists in the steady state.