Application of transposition to decimation and interpolation in digital signal processing systems

A method that was recently developed for describing linear time-varying digital systems in the frequency domain will be applied to decimators and interpolators. This method allows a generalization of transposition to these time-varying operations, giving both a structural and a functional relationship between a digital system and its transpose. It is shown that decimation and interpolation are related by transposition, and the consequences of this interconnection are discussed.