Nonlinear thoughts about linear signal processing

Recent work on modelling digital channels using iterated function systems suggests a general approach to the theory of signal processing in digital communications which uses so-called delay methods developed for deterministic nonlinear timeseries analysis. Here we make the connection between this work and the more conventional approach to digital communications by casting linear channel models as iterated function systems and showing how the use of delay methods gives a nice connection with the theory of observability in the control of linear systems.