Input Impedance of Irregular Cascaded Systems

摘要

In this paper, we report and describe the derivation of an analytical approach for the calculation of the input impedance of a non-identical cascaded network of 'n' discrete components based on knowing the propagation constant and the characteristic impedance of each component. These parameters may be obtained analytically or experimentally in a complex form. The developed equation allows the study of the effects of network irregularity, load impedance mismatching and the mismatching of the impedance of cascaded segments of the whole network. It is then applied to calculate the impedance of a multi-segment communication channel at a range of frequencies and validated against a standard equation.