On a New Complex Circuit Element Derived from Mismatch Error in an Imaginary Resistor

Abstract

In this paper, we introduce a new conceptional circuit element for complex signal processing. The element, provisionally named “conjugate imaginary resistor,” is derived from mismatch error in an imaginary resistor and its current is proportional to complex conjugate of voltage across it. Complex power calculation using complex phasor suggests that the conjugate imaginary resistor will affect magnitude response of a doubly terminated passive complex filter.