ABSTRACT

The sampling theorem in Chapter 9 provided us with a tool tomap a continuous-time signal to a sequence of discrete-time samples taken at a given sampling rate. By choosing a different sampling rate, the same continuoustime signal can bemapped to an arbitrary number of different discrete-time signals. What is the relationship between these different discrete-time sequences? Can they be transformed into each other entirely from within the discrete-time world? These are the questions that multirate theory sets out to answer.