Handling long-term memory effects in X-parameter model

Since the last decade, the behavioral modeling of RF functional blocks (amplifiers, mixers, (de)modulators, etc.) has been a flourishing research domain that has led to a better overall understanding of the nonlinear dynamics impact to the circuit performances. Recently the X-parameter paradigm has been introduced. The formalism provides a comprehensive description of the relationships between all the harmonics of the scattered and incident power waves at the ports of a device, and represents a major advancement in RF circuit characterization. The formalism however still needs effective handling of the long term memory effects. In this paper, a simple and efficient approach is proposed to model long-term memory effects within X-parameter. It ensures both a simple extraction procedure and an efficient numerical implementation.