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Most methodologies for modeling Transmission Line (TL) based channels definethe input-output relationship in the frequency domain (FD) and handle the TLresorting to a two-port network (2PN) formalism. These techniques have not yetbeen formally mapped into a discrete-time (DT) block model, which is useful tosimulate and estimate the channel response as well as to design optimalprecoding strategies. TL methods also fall short when they are applied to TimeVarying (TV) systems, such as the power line channel. The objective of thispaper is to establish if and how one can introduce a DT block model for thePower Line Channel. We prove that it is possible to use Lifting and TrailingZeros (L&TZ) techniques to derive a DT block model that maps the TL-basedinput-output description directly in the time domain (TD) block channel model.More specifically, we find an interesting relationship between the elements ofan ABCD matrix, defined in the FD, and filtering kernels that allow an elegantrepresentation of the channel in the TD. The same formalism is valid for boththe Linear Time Invariant (LTI) and the Linear TV (LTV) cases, and bridgescommunications and signal processing methodologies with circuits and systemsanalysis tools.

Discrete-Time Block Models for Transmission Line Channels: Static and Doubly Selective Cases