Introduction
A sequence can be obtained by sampling a continuous function or signal and in this Section we show first of all how to extend our knowledge of -transforms so as to be able to deal with sampled signals. We then show how the -transform of a sampled signal is related to the Laplace transform of the unsampled version of the signal.
Prerequisites
- possess an outline knowledge of Laplace transforms and of -transforms
Learning Outcomes
- take the -transform of a sequence obtained by sampling
- state the relation between the -transform of a sequence obtained by sampling and the Laplace transform of the underlying continuous signal
Contents
1 Sampling theory1.1 Sampled sinusoids
1.2 Shift theorems
2 z-transforms and Laplace transforms
2.1 Table 2: z-transforms of some sampled signals
2.2 Table of z-transforms