Periodically time-varying two-terminals at a steady state, description and identification

Abstract

The periodically time-varying two-terminal network at a steady state may be described with a circular parametric operator. Within the domain of discrete time, such operator takes the form of a real element matrix. A circular parametric operator may be transformed into the frequency domain. In this version, the quantitative assessment of mixing and generating of harmonics of input and output signals is possible. This paper presents the derivation and effects of a genuine algorithm for identification of circular parametric operators. Some results of computer simulations are presented.

The steady-state impedance operator of a linear periodically time-varying one-port network and its determination

“…The derivation and properties of the identification scheme were presented in (Kłosiński, 2005;2006;2007). The identification scheme is iterative, and it was not easy to prove its convergence because of its special construction.…”