Chapter ten
Online quizzes
Chapter five: Discrete models and z-transforms
Chapter five: Discrete models and z-transforms
These quizzes link to chapter five. They on the theme of discrete time linear models, for example:
yk+a1yk-1 + ...+ anyk-n = b1uk-1 + ...+ bnuk-n
where y(t) is the output, u(t) the input and ai, bi are model parameters. The subscript 'k' denotes the sampling index.
Core skills are things such as:
What do I mean by a discrete model/signal and how do I find a discrete mathematical model representation of a real physical system?
How do such systems behave and how does the behaviour link to the model parameters?
Are there generic analysis tools that help with understanding?
It is implicit that students have core competence in some mathematical topics such as polynomials, roots, complex numbers, exponentials and Laplace.