Discrete-time representation of band-pass frequency-domain data for Envelope Transient simulation

This contribution offers an extension to the Envelope Transient (ET) family of simulation techniques used in high-frequency simulation involving widely varying time-scales. It is shown how individual band-pass segments of the S-parameter functions of an arbitrary linear network embedded within a non-linear circuit may be represented as compact, complex baseband impulse responses in discrete-time. This kind of description may then be easily incorporated within an ET algorithm using complex convolution. The results obtained by this method have been compared with simulations using direct time-marching simulation in a simple application example showing very good mutual agreement.