Necessary and sufficient conditions are derived for the capacitor loaded transformer with time-varying turns ratio to be a complete step-up 1-port for . This is then used to demonstrate the existence of an abundance of time-varying complete step-up -ports for . These results are generalized to establish the existence of complete step-up -ports for .
Keywords :
Linear networks, time-varying; Notch filters; Time-varying and switched networks and systems; Transformers; Australia; Capacitors; Education; Electrical engineering; Polynomials; Scattering; Sufficient conditions; Time of arrival estimation;