Unit 5: Sampled Data Systems

We set the scene for this chapter with a useful definition from Wikipedia

Sampling (Signal Processing)

In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal).

A sample is a value or set of values at a point in time and/or space.

A sampler is a subsystem or operation that extracts samples from a continuous signal.

A theoretical ideal sampler produces samples equivalent to the instantaneous value of the continuous signal at the desired points.

– Sampling (Signal Processing), Wikipedia.

In this chapter we will cover Sampling Theory, the Z-Transform, the inverse Z-Transform and Models of Digital Systems.

Contents

In this section of the course we will cover:

• Unit 5.1: Sampling Theory

• Unit 5.2: Discrete-Time Systems and the Z-Transform

• Unit 5.3: The Inverse Z-Transform

• Unit 5.4: Models of Discrete-Time Systems